Linear algebra is a fundamental tool in modeling and computation. This area covers research and computational methods in linear algebra and matrix analysis. A few examples of the diverse areas of application are signal processing, systems and control theory, statistics, Markov chains, and mathematical biology.

By Alan Edelman and Yuyang Wang SIAM Journal on Matrix Analysis and Applications, Volume 41, Issue 4, Page 1826-1856, January 2020. This paper provides an advanced mathematical theory of the generalized singular value decomposition (GSVD)...

By Yuning Yang SIAM Journal on Matrix Analysis and Applications, Volume 41, Issue 4, Page 1797-1825, January 2020. The epsilon alternating least squares ($\epsilon$-ALS) is developed and analyzed for canonical polyadic decomposition...

By Alan Edelman and Yuyang Wang SIAM Journal on Matrix Analysis and Applications, Volume 41, Issue 4, Page 1826-1856, January 2020. This paper provides an advanced mathematical theory of the generalized singular value decomposition (GSVD)...

By Yuning Yang SIAM Journal on Matrix Analysis and Applications, Volume 41, Issue 4, Page 1797-1825, January 2020. The epsilon alternating least squares ($\epsilon$-ALS) is developed and analyzed for canonical polyadic decomposition...

By Ding Lu SIAM Journal on Matrix Analysis and Applications, Volume 41, Issue 4, Page 1771-1796, January 2020. We consider the optimization problem in which a continuous convex function is to be...

By Ke Chen, Qin Li, Kit Newton, and Stephen J. Wright SIAM Journal on Matrix Analysis and Applications, Volume 41, Issue 4, Page 1742-1770, January 2020. For an overdetermined system ${A}{x} \approx {b}$ with ${A}$ and ${b}$ given, the least-squares...

By Ilse C. F. Ipsen and Hua Zhou SIAM Journal on Matrix Analysis and Applications, Volume 41, Issue 4, Page 1726-1741, January 2020. Probabilistic models are proposed for bounding the forward error in the numerically computed inner...

By Andreas Frommer and Behnam Hashemi SIAM Journal on Matrix Analysis and Applications, Volume 41, Issue 4, Page 1674-1703, January 2020. We present a review of old interval arithmetic techniques, and develop new ones,...

By Steffen Börm and Christina Börst SIAM Journal on Matrix Analysis and Applications, Volume 41, Issue 4, Page 1704-1725, January 2020. Boundary element methods for the Helmholtz equation lead to large dense matrices that can...

By Alice Cortinovis and Daniel Kressner SIAM Journal on Matrix Analysis and Applications, Volume 41, Issue 4, Page 1651-1673, January 2020. A CUR approximation of a matrix $A$ is a particular type of low-rank approximation...

By Elena Bossolini, Morten Brøns, and Kristian Uldall Kristiansen SIAM Review, Volume 62, Issue 4, Page 869-897, January 2020. In mechanics, one often describes microscopic processes such as those leading to friction between relative interfaces using macroscopic variables...

By Giacomo Nannicini SIAM Review, Volume 62, Issue 4, Page 936-981, January 2020. This paper is a gentle but rigorous introduction to quantum computing intended for discrete mathematicians. Starting from a small...

By Caleb Ju and Edgar Solomonik SIAM Review, Volume 62, Issue 4, Page 743-777, January 2020. The prevalence of convolution in applications within signal processing, deep neural networks, and numerical solvers has motivated the development...

By Alexandria Volkening, Daniel F. Linder, Mason A. Porter, and Grzegorz A. Rempala SIAM Review, Volume 62, Issue 4, Page 837-865, January 2020. Forecasting elections---a challenging, high-stakes problem---is the subject of much uncertainty, subjectivity, and media scrutiny. To shed light on this...

By Sanjeeva Balasuriya SIAM Review, Volume 62, Issue 4, Page 781-816, January 2020. Uncertainties in velocity data are often ignored when computing Lagrangian particle trajectories of fluids. Modeling these as noise...

By Yuanzhao Zhang and Adilson E. Motter SIAM Review, Volume 62, Issue 4, Page 817-836, January 2020. The field of network synchronization has seen tremendous growth following the introduction of the master stability function (MSF) formalism,...

By Xiaocheng Shang and Martin Kröger SIAM Review, Volume 62, Issue 4, Page 901-935, January 2020. We study the time correlation functions of coupled linear Langevin dynamics with and without inertial effects, both analytically and...

By Pengzhan Jin, Yifa Tang, and Aiqing Zhu SIAM Journal on Matrix Analysis and Applications, Volume 41, Issue 4, Page 1630-1650, January 2020. In this work, we prove that any symplectic matrix can be factored into no...

By Darinka Dentcheva SIAM Review, Volume 62, Issue 4, Page 899-900, January 2020. This issue of SIAM Review presents two papers in the Education section. The first paper, “Time Correlation Functions of...

By Misha E. Kilmer SIAM Review, Volume 62, Issue 4, Page 779-780, January 2020. We are fortunate to have three topically diverse papers featured in Research Spotlights in the current issue. The...

By Volker H. Schulz SIAM Review, Volume 62, Issue 4, Page 985-994, January 2020. The first and featured review is on the book Introduction to Numerical Methods for Variational Problems, by Hans...

By J. M. Sanz-Serna SIAM Review, Volume 62, Issue 4, Page 741-741, January 2020. Finding the convolution of two vectors is a ubiquitous task in applied mathematics. Signal processing, image processing, deep neural...

By The Editors SIAM Review, Volume 62, Issue 4, Page 867-867, January 2020. In this section we present “A Stiction Oscillator with Canards: On Piecewise Smooth Nonuniqueness and Its Resolution by Regularizing...

By Miguel D. Bustamante, Pauline Mellon, and M. Victoria Velasco SIAM Journal on Matrix Analysis and Applications, Volume 41, Issue 4, Page 1616-1629, January 2020. We provide a solution to the problem of simultaneous diagonalization via congruence of a...

By Alexander Beigl, Jarle Sogn, and Walter Zulehner SIAM Journal on Matrix Analysis and Applications, Volume 41, Issue 4, Page 1590-1615, January 2020. In this paper we consider multiple saddle point problems with block tridiagonal Hessian in...

By Minghua Chen, Sven-Erik Ekström, and Stefano Serra-Capizzano SIAM Journal on Matrix Analysis and Applications, Volume 41, Issue 4, Page 1546-1570, January 2020. Nonlocal problems have been used to model very different applied scientific phenomena which involve...

By Frank Uhlig SIAM Journal on Matrix Analysis and Applications, Volume 41, Issue 4, Page 1528-1545, January 2020. We investigate the eigenvalue curves of 1-parameter Hermitian and general complex or real matrix...

By Henri Calandra, Serge Gratton, Elisa Riccietti, and Xavier Vasseur SIAM Journal on Matrix Analysis and Applications, Volume 41, Issue 4, Page 1571-1589, January 2020. Given a full-rank matrix $A \in \mathbb{R}^{m\times n}$ ($m\geq n$), we consider a special...

By Silvia Gazzola, Chang Meng, and James G. Nagy SIAM Journal on Matrix Analysis and Applications, Volume 41, Issue 4, Page 1477-1504, January 2020. This paper introduces new solvers for the computation of low-rank approximate solutions to large-scale...

By Biswajit Das and Shreemayee Bora SIAM Journal on Matrix Analysis and Applications, Volume 41, Issue 4, Page 1505-1527, January 2020. The problem of finding the distance from a given $n \times n$ matrix polynomial...

By Spyridon Pougkakiotis, John W. Pearson, Santolo Leveque, and Jacek Gondzio SIAM Journal on Matrix Analysis and Applications, Volume 41, Issue 3, Page 1443-1476, January 2020. In this paper, we present numerical methods suitable for solving convex quadratic fractional differential...

By Ziang Chen, Yingzhou Li, and Jianfeng Lu SIAM Journal on Matrix Analysis and Applications, Volume 41, Issue 3, Page 1416-1442, January 2020. In this work, we study the tensor ring decomposition and its associated numerical algorithms....

By Carla Ferreira and Beresford Parlett SIAM Journal on Matrix Analysis and Applications, Volume 41, Issue 3, Page 1388-1415, January 2020. In the 1950s J. H. Wilkinson introduced two families of symmetric tridiagonal integer matrices....

By Samantha Sherman and Tamara G. Kolda SIAM Journal on Matrix Analysis and Applications, Volume 41, Issue 3, Page 1369-1387, January 2020. We consider the problem of decomposing higher-order moment tensors, i.e., the sum of symmetric...

By Cyrus Mostajeran, Christian Grussler, and Rodolphe Sepulchre SIAM Journal on Matrix Analysis and Applications, Volume 41, Issue 3, Page 1347-1368, January 2020. We define geometric matrix midranges for positive definite Hermitian matrices and study the midrange...

By Wim Michiels and Luca Fenzi SIAM Journal on Matrix Analysis and Applications, Volume 41, Issue 3, Page 1284-1311, January 2020. We develop an eigenvalue-based approach for the stability assessment and stabilization of linear systems...

By Jorge Garza-Vargas and Archit Kulkarni SIAM Journal on Matrix Analysis and Applications, Volume 41, Issue 3, Page 1312-1346, January 2020. We study the Lanczos algorithm where the initial vector is sampled uniformly from $\mathbb{S}^{n-1}$....

By Tianxiang Liu, Ivan Markovsky, Ting Kei Pong, and Akiko Takeda SIAM Journal on Matrix Analysis and Applications, Volume 41, Issue 3, Page 1260-1283, January 2020. In this paper, we consider the problem of minimizing a smooth objective over multiple...

By Vincent Coppé, Daan Huybrechs, Roel Matthysen, and Marcus Webb SIAM Journal on Matrix Analysis and Applications, Volume 41, Issue 3, Page 1237-1259, January 2020. We introduce an algorithm for the least squares solution of a rectangular linear system...

By Anil Damle and Yuekai Sun SIAM Journal on Matrix Analysis and Applications, Volume 41, Issue 3, Page 1208-1236, January 2020. For a fixed symmetric matrix $A$ and symmetric perturbation $E$ we develop purely deterministic...

By Aleksandar Cvetković and Vladimir Yu. Protasov SIAM Journal on Matrix Analysis and Applications, Volume 41, Issue 3, Page 1167-1182, January 2020. We develop a matrix approach to the maximal acyclic subgraph (MAS) problem by reducing...

By Eric Hallman SIAM Journal on Matrix Analysis and Applications, Volume 41, Issue 3, Page 1183-1207, January 2020. We consider the iterative method LSQR for solving $\min_x |Ax-b|_2$. LSQR is based on...

By Patrick De Leenheer SIAM Review, Volume 62, Issue 3, Page 716-726, January 2020. We present an elementary proof of a generalization of Kirchhoff's matrix tree theorem to directed, weighted graphs. The proof...

By Lek-Heng Lim SIAM Review, Volume 62, Issue 3, Page 685-715, January 2020. This is an elementary introduction to the Hodge Laplacian on a graph, a higher-order generalization of the graph Laplacian....

By Andrii Mironchenko and Christophe Prieur SIAM Review, Volume 62, Issue 3, Page 529-614, January 2020. In a pedagogical but exhaustive manner, this survey reviews the main results on input-to-state stability (ISS) for infinite-dimensional systems....

By Ernesto Estrada, Gissell Estrada-Rodriguez, and Heiko Gimperlein SIAM Review, Volume 62, Issue 3, Page 617-645, January 2020. In a complex system, the interplay between the internal structure of its entities and their interconnection may play a...

By Jed A. Duersch and Ming Gu SIAM Review, Volume 62, Issue 3, Page 661-682, January 2020. Rank-revealing matrix decompositions provide an essential tool in spectral analysis of matrices, including the Singular Value Decomposition (SVD) and...

By Vicky Chuqiao Yang, Daniel M. Abrams, Georgia Kernell, and Adilson E. Motter SIAM Review, Volume 62, Issue 3, Page 646-657, January 2020. Since the 1960s, Democrats and Republicans in the U.S. Congress have taken increasingly polarized positions, while the public's policy...

By Darinka Dentcheva SIAM Review, Volume 62, Issue 3, Page 683-683, January 2020. This issue of SIAM Review contains two papers in the Education section. The first paper, “Hodge Laplacians on Graphs,”...

By Misha E. Kilmer SIAM Review, Volume 62, Issue 3, Page 615-615, January 2020. In this issue, Research Spotlights features two exciting and topically diverse articles. The authors of the first article...

By J. M. Sanz-Serna SIAM Review, Volume 62, Issue 3, Page 527-527, January 2020. Andrii Mirochenko and Christophe Prieur are the authors of “Input-to-State Stability of Infinite-Dimensional Systems: Recent Results and Open Questions,”...

By Volker H. Schulz SIAM Review, Volume 62, Issue 3, Page 729-739, January 2020. These are difficult times, but some circumstances make the work in our Book Reviews section even more difficult. Due...

By The Editors SIAM Review, Volume 62, Issue 3, Page 659-659, January 2020. The SIGEST article in this issue, “Randomized Projection for Rank-Revealing Matrix Factorizations and Low-Rank Approximations,” by Jed A. Duersch...

By Alexis Montoison and Dominique Orban SIAM Journal on Matrix Analysis and Applications, Volume 41, Issue 3, Page 1145-1166, January 2020. We introduce an iterative method named BiLQ for solving general square linear systems $Ax=b$...

By Jiawang Nie and Zi Yang SIAM Journal on Matrix Analysis and Applications, Volume 41, Issue 3, Page 1115-1144, January 2020. Hermitian tensors are generalizations of Hermitian matrices, but they have very different properties. Every...

By Oscar Mickelin and Sertac Karaman SIAM Journal on Matrix Analysis and Applications, Volume 41, Issue 3, Page 1086-1114, January 2020. We describe a simple, black-box compression format for tensors with a multiscale structure. By...

By Xin Ye, Jianlin Xia, and Lexing Ying SIAM Journal on Matrix Analysis and Applications, Volume 41, Issue 3, Page 1059-1085, January 2020. It has been known in potential theory that, for some kernel matrices corresponding to...

By Fernando De Terán, Andrii Dmytryshyn, and Froilán M. Dopico SIAM Journal on Matrix Analysis and Applications, Volume 41, Issue 3, Page 1033-1058, January 2020. We determine the generic complete eigenstructures for $n \times n$ complex symmetric matrix polynomials...

By A. S. Lewis and M. L. Overton SIAM Journal on Matrix Analysis and Applications, Volume 41, Issue 3, Page 1004-1032, January 2020. Solutions to optimization problems involving the numerical radius often belong to the class of...

By Roberto Bevilacqua, Gianna M. Del Corso, and Luca Gemignani SIAM Journal on Matrix Analysis and Applications, Volume 41, Issue 3, Page 984-1003, January 2020. We present fast numerical methods for computing the Hessenberg reduction of a unitary...

By Lei-Hong Zhang, Wei Hong Yang, Chungen Shen, and Jiaqi Ying SIAM Journal on Matrix Analysis and Applications, Volume 41, Issue 3, Page 957-983, January 2020. In this paper, we propose a novel eigenvalue-based approach to solving the unbalanced orthogonal...

By Nicat Aliyev, Peter Benner, Emre Mengi, and Matthias Voigt SIAM Journal on Matrix Analysis and Applications, Volume 41, Issue 2, Page 928-956, January 2020. We deal with the minimization of the ${\mathcal H}_\infty$-norm of the transfer function of...

By Hongguo Xu SIAM Journal on Matrix Analysis and Applications, Volume 41, Issue 2, Page 901-927, January 2020. A structure preserving QR algorithm is developed for a set of symplectic matrices...

By Ben S. Southworth, Abdullah A. Sivas, and Sander Rhebergen SIAM Journal on Matrix Analysis and Applications, Volume 41, Issue 2, Page 871-900, January 2020. The solution of matrices with a $2\times 2$ block structure arises in numerous areas...

By Johannes J. Brust, Roummel F. Marcia, and Cosmin G. Petra SIAM Journal on Matrix Analysis and Applications, Volume 41, Issue 2, Page 852-870, January 2020. Oblique projection matrices arise in problems in weighted least squares, signal processing, and optimization....

By Rui Li and Zeng-Qi Wang SIAM Journal on Matrix Analysis and Applications, Volume 41, Issue 2, Page 838-851, January 2020. In this study, we analyze the real-time solution of a series of augmented least...

By Andreas Frommer, Kathryn Lund, and Daniel B. Szyld SIAM Journal on Matrix Analysis and Applications, Volume 41, Issue 2, Page 804-837, January 2020. We analyze an expansion of the generalized block Krylov subspace framework of [Electron. Trans....

By Ling Guo, Akil Narayan, and Tao Zhou SIAM Review, Volume 62, Issue 2, Page 483-508, January 2020. Polynomial approximations constructed using a least-squares approach form a ubiquitous technique in numerical computation. One of the simplest ways...

By Lloyd N. Trefethen SIAM Review, Volume 62, Issue 2, Page 439-462, January 2020. Boundary-value problems involving the linear differential equation $\varepsilon y'' - x y' + y = 0$ have surprising properties...

By Yair Carmon and John C. Duchi SIAM Review, Volume 62, Issue 2, Page 395-436, January 2020. We consider minimization of indefinite quadratics with either trust-region (norm) constraints or cubic regularization. Despite the nonconvexity of these...

By Anne Greenbaum, Ren-Cang Li, and Michael L. Overton SIAM Review, Volume 62, Issue 2, Page 463-482, January 2020. We present first-order perturbation analysis of a simple eigenvalue and the corresponding right and left eigenvectors of a general...

By Philipp Grohs, Sarah Koppensteiner, and Martin Rathmair SIAM Review, Volume 62, Issue 2, Page 301-350, January 2020. The problem of phase retrieval, i.e., the problem of recovering a function from the magnitudes of its Fourier...

By Michael T. Schaub, Austin R. Benson, Paul Horn, Gabor Lippner, and Ali Jadbabaie SIAM Review, Volume 62, Issue 2, Page 353-391, January 2020. Using graphs to model pairwise relationships between entities is a ubiquitous framework for studying complex systems and data. Simplicial...

By Volker H. Schulz SIAM Review, Volume 62, Issue 2, Page 511-526, January 2020. I am writing these lines in April 2020 while science is in lockdown mode globally. They will be published...

By The Editors SIAM Review, Volume 62, Issue 2, Page 393-393, January 2020. The SIGEST article in this issue, “First-Order Methods for Nonconvex Quadratic Minimization,” by Yair Carmon and John C. Duchi,...

By Misha E. Kilmer SIAM Review, Volume 62, Issue 2, Page 351-351, January 2020. The current issue of SIAM Review features the Research Spotlights article “Random Walks on Simplicial Complexes and the Normalized...

By Darinka Dentcheva SIAM Review, Volume 62, Issue 2, Page 437-438, January 2020. The Education section of SIAM Review presents three papers in this issue. In the first paper Lloyd N. Trefethen...

By J. M. Sanz-Serna SIAM Review, Volume 62, Issue 2, Page 299-299, January 2020. In a previous issue of SIAM Review, I started my introduction to the Survey and Review section by saying...

By Ignat Domanov and Lieven De Lathauwer SIAM Journal on Matrix Analysis and Applications, Volume 41, Issue 2, Page 747-803, January 2020. Canonical Polyadic Decomposition (CPD) represents a third-order tensor as the minimal sum of rank-1...

By Léopold Cambier, Chao Chen, Erik G. Boman, Sivasankaran Rajamanickam, Raymond S. Tuminaro, and Eric Darve SIAM Journal on Matrix Analysis and Applications, Volume 41, Issue 2, Page 715-746, January 2020. We propose a new algorithm for the fast solution of large, sparse, symmetric positive-definite...

By Fredy Sosa, Julio Moro, and Christian Mehl SIAM Journal on Matrix Analysis and Applications, Volume 41, Issue 2, Page 657-690, January 2020. A first order perturbation theory for eigenvalues of real or complex $J$-symplectic matrices under...

By Dario A. Bini, Beatrice Meini, and Jie Meng SIAM Journal on Matrix Analysis and Applications, Volume 41, Issue 2, Page 691-714, January 2020. Quadratic matrix equations of the kind $A_1X^2+A_0X+A_{-1}=X$ are encountered in the analysis of Quasi--Birth-Death...

By Tobias Damm and Heike Faßbender SIAM Journal on Matrix Analysis and Applications, Volume 41, Issue 2, Page 637-656, January 2020. We consider orthogonal transformations of arbitrary square matrices to a form where all diagonal...

By Timothy A. Davis, Iain S. Duff, and Stojce Nakov SIAM Journal on Matrix Analysis and Applications, Volume 41, Issue 2, Page 573-590, January 2020. We develop a novel algorithm for the parallel factorization of an unsymmetric sparse matrix...

By Maolin Che, Yimin Wei, and Hong Yan SIAM Journal on Matrix Analysis and Applications, Volume 41, Issue 2, Page 605-636, January 2020. This paper is devoted to the computation of low multilinear rank approximations of tensors....

By Marina Bertolini, Gianmario Besana, Gilberto Bini, and Cristina Turrini SIAM Journal on Matrix Analysis and Applications, Volume 41, Issue 2, Page 591-604, January 2020. Grassmann tensors arise from classical problems of scene reconstruction in computer vision. Trifocal Grassmann...

By Pedro G. Massey, Demetrio Stojanoff, and Sebastian Zarate SIAM Journal on Matrix Analysis and Applications, Volume 41, Issue 2, Page 554-572, January 2020. A priori, a posteriori, and mixed type upper bounds for the absolute change in...

By Ximing Chen, Masaki Ogura, and Victor M. Preciado SIAM Journal on Matrix Analysis and Applications, Volume 41, Issue 2, Page 525-553, January 2020. The spectral radius of a directed graph is a metric that can only be...

By Peter Richtárik and Martin Takáč SIAM Journal on Matrix Analysis and Applications, Volume 41, Issue 2, Page 487-524, January 2020. We develop a family of reformulations of an arbitrary consistent linear system into...

By Marie Kubínová and Kirk M. Soodhalter SIAM Journal on Matrix Analysis and Applications, Volume 41, Issue 2, Page 464-486, January 2020. It is well-established that any nonincreasing convergence curve is possible for GMRES and a...

By Yao-Lin Jiang and Kang-Li Xu SIAM Journal on Matrix Analysis and Applications, Volume 41, Issue 2, Page 432-463, January 2020. This paper presents a new Riemannian modified Polak--Ribière--Polyak conjugate gradient algorithm to construct the...

By Larry Allen and Robert C. Kirby SIAM Journal on Matrix Analysis and Applications, Volume 41, Issue 2, Page 413-431, January 2020. Bernstein polynomials, long a staple of approximation theory and computational geometry, have also increasingly...

By Martin S. Andersen and Tianshi Chen SIAM Journal on Matrix Analysis and Applications, Volume 41, Issue 2, Page 389-412, January 2020. We show that the spline kernel of order $p$ is a so-called semiseparable function...

By Steven Elsworth and Stefan Güttel SIAM Journal on Matrix Analysis and Applications, Volume 41, Issue 2, Page 365-388, January 2020. The block version of the rational Arnoldi method is a widely used procedure for...

By Gilles Baechler, Frederike Dümbgen, Golnoosh Elhami, Miranda Kreković, and Martin Vetterli SIAM Journal on Matrix Analysis and Applications, Volume 41, Issue 1, Page 332-363, January 2020. In many problems such as phase retrieval, molecular biology, source localization, and sensor array...

By Andrei Agrachev, Khazhgali Kozhasov, and André Uschmajew SIAM Journal on Matrix Analysis and Applications, Volume 41, Issue 1, Page 308-331, January 2020. We establish a new extremal property of the classical Chebyshev polynomials in the context...

By Yashar Zeinaly, Jan H. van Schuppen, and Bart De Schutter SIAM Journal on Matrix Analysis and Applications, Volume 41, Issue 1, Page 279-307, January 2020. Positive systems with positive inputs and positive outputs are used in several branches of...

By Yaqi Duan, Mengdi Wang, Zaiwen Wen, and Yaxiang Yuan SIAM Journal on Matrix Analysis and Applications, Volume 41, Issue 1, Page 244-278, January 2020. This paper develops a low-nonnegative-rank approximation method to identify the state aggregation structure of...

By Volker H. Schulz SIAM Review, Volume 62, Issue 1, Page 283-297, January 2020. The frame for the Book Reviews section this time is formed by the books of two very well known...

By The Editors SIAM Review, Volume 62, Issue 1, Page 197-197, January 2020. The SIGEST article in this issue, “Asymptotically Compatible Schemes for Robust Discretization of Parametrized Problems with Applications to Nonlocal...

By Misha E. Kilmer SIAM Review, Volume 62, Issue 1, Page 131-131, January 2020. Tensors, or multiway arrays, are often used for storage of high-dimensional data. In order to have compression, completion,...

By J. M. Sanz-Serna SIAM Review, Volume 62, Issue 1, Page 1-1, January 2020. Bernard Brogliato and Aneel Tanwani are the authors of “Dynamical Systems Coupled with Monotone Set-Valued Operators: Formalisms, Applications, Well-Posedness,...

By Darinka Dentcheva SIAM Review, Volume 62, Issue 1, Page 229-230, January 2020. The Education section of SIAM Review presents three papers in this issue. In the first paper Robert M. Corless...

By Xiaochuan Tian and Qiang Du SIAM Review, Volume 62, Issue 1, Page 199-227, January 2020. Many problems in nature, being characterized by a parameter, are of interest both with a fixed parameter value...

By Bernard Brogliato and Aneel Tanwani SIAM Review, Volume 62, Issue 1, Page 3-129, January 2020. This survey article addresses the class of continuous-time systems where a system modeled by ordinary differential equations is...

By David Hong, Tamara G. Kolda, and Jed A. Duersch SIAM Review, Volume 62, Issue 1, Page 133-163, January 2020. Tensor decomposition is a fundamental unsupervised machine learning method in data science, with applications including network analysis and sensor...

By Tracy L. Stepien, Eric J. Kostelich, and Yang Kuang SIAM Review, Volume 62, Issue 1, Page 244-263, January 2020. Most undergraduates have limited experience with mathematical modeling. In an effort to respond to various initiatives, such as the...

By Antônio Francisco Neto SIAM Review, Volume 62, Issue 1, Page 264-280, January 2020. In this work we introduce a new operator based approach to matrix analysis. Our main technical tool comprises an...

By Nawaf Bou-Rabee and Miranda C. Holmes-Cerfon SIAM Review, Volume 62, Issue 1, Page 164-195, January 2020. Sticky Brownian motion is the simplest example of a diffusion process that can spend finite time both in the...

By Robert M. Corless and Leili Rafiee Sevyeri SIAM Review, Volume 62, Issue 1, Page 231-243, January 2020. We look at two classical examples in the theory of numerical analysis, namely, the Runge example for interpolation and...

By Dmitry Batenkov, Laurent Demanet, Gil Goldman, and Yosef Yomdin SIAM Journal on Matrix Analysis and Applications, Volume 41, Issue 1, Page 199-220, January 2020. We prove sharp lower bounds for the smallest singular value of a partial Fourier...

By Xin Xing and Edmond Chow SIAM Journal on Matrix Analysis and Applications, Volume 41, Issue 1, Page 221-243, January 2020. In the construction of rank-structured matrix representations of dense kernel matrices, a heuristic compression...

By Estelle Massart and P.-A. Absil SIAM Journal on Matrix Analysis and Applications, Volume 41, Issue 1, Page 171-198, January 2020. This paper explores the well-known identification of the manifold of rank $p$ positive-semidefinite matrices...

By Florent Bouchard, Bijan Afsari, Jérôme Malick, and Marco Congedo SIAM Journal on Matrix Analysis and Applications, Volume 41, Issue 1, Page 152-170, January 2020. We consider the classical problem of approximate joint diagonalization of matrices, which can be...

By Jarosław Buczyński, Elisa Postinghel, and Filip Rupniewski SIAM Journal on Matrix Analysis and Applications, Volume 41, Issue 1, Page 106-133, January 2020. We address the problem of the additivity of the tensor rank. That is, for...

By Volker Mehrmann and Paul M. Van Dooren SIAM Journal on Matrix Analysis and Applications, Volume 41, Issue 1, Page 134-151, January 2020. We construct optimally robust port-Hamiltonian realizations of a given rational transfer function that represents...

By Sophie Hautphenne and Stefano Massei SIAM Journal on Matrix Analysis and Applications, Volume 41, Issue 1, Page 29-57, January 2020. We present a new algorithm for computing the quasi-stationary distribution of subcritical Galton--Watson...

By Luis García Ramos, René Kehl, and Reinhard Nabben SIAM Journal on Matrix Analysis and Applications, Volume 41, Issue 1, Page 83-105, January 2020. Deflation is a well-known technique to accelerate Krylov subspace methods for solving...

By Xiao Liu, Yuanzhe Xi, Yousef Saad, and Maarten V. de Hoop SIAM Journal on Matrix Analysis and Applications, Volume 41, Issue 1, Page 58-82, January 2020. We propose an iterative solution method for the three-dimensional high-frequency Helmholtz equation that exploits...

By Yu. Nesterov and V. Yu. Protasov SIAM Journal on Matrix Analysis and Applications, Volume 41, Issue 1, Page 1-28, January 2020. The problem of finding the closest stable matrix for a dynamical system has many...

It appears unlikely that conference travel will be back to normal by the spring of 2021. Should I submit to LA21 or wait for more news?
SIAM intends to hold LA21 ...

Update 7/14/20: Today, the Trump Administration rescinded these proposed rules on foreign students studying online, returning to the previous status quo. Thank you to all of the SIAM members who ...

We may not be able to meet in Toronto for this year’s Joint SIAM/CAIMS Annual Meeting (AN20) , but that doesn’t mean we can’t hold the meeting! SIAM and CAIMS are pivoting to virtual with a ...

The SIAM Student Paper Prize is awarded annually to the student author(s) of the most outstanding paper(s) accepted by SIAM journals within the three years preceding the nomination deadline. Starting with the 2018 award, the focus of the prize is to recognize outstanding scholarship by students in SIAM journals.

The Pioneer Prize is awarded every four years at the International Council for Industrial and Applied Mathematics (ICIAM) Congress to one individual for pioneering work introducing applied mathematical methods and scientific computing techniques to an industrial problem area or a new scientific field of applications. Nominations can be submitted via the ICIAM website.

Established in 1967, the prize honors Norbert Wiener, a founder of the field of cybernetics. The prize is awarded every three years by SIAM and the American Mathematical Society (AMS) for an outstanding contribution to applied mathematics. Nominations can be submitted via the AMS website.

The prize recognizes innovative software in scientific computing by researchers in the earlier stages of their career. Starting in 2019, SIAM will award the prize every four years at the SIAM Conference on Computational Science and Engineering.

This joint prize was established in 2002 to honor Sonia Kovalevsky and her work on the theory of differential equations. It is awarded to anyone in the scientific or engineering community whose work highlights the achievements of women in applied and computational mathematics. Nominations can be submitted via the AWM website.

This prize was created in 2013 to emphasize George Pólya’s legacy of communicating mathematics effectively. It joins two long-standing Pólya prizes SIAM has awarded in combinatorics and other fields beginning in 1969.

Through the generosity and inspiration of Gerald and Judith Porter, the Mathematical Association of America (MAA), American Mathematical Society (AMS), and SIAM offer this annual lecture at the Joint Mathematics Meetings. The lecture, first awarded in 2010, is given on a mathematical topic accessible to the broader community.

Named in honor of I. E. Block, a co-founder and the first managing director of SIAM, this lecture is open to the public at the SIAM Annual Meeting. It is intended to encourage public appreciation of applied mathematics and computational science by reaching out to the local community.

Established in 1979 in honor of James H. Wilkinson, the prize is awarded to an individual in their early career for recent contributions to numerical analysis and scientific computing.

Established in 1959, the prize honors John von Neumann, a founder of modern computing. The prize is awarded annually for distinguished contributions to applied mathematics and for the effective communication of these ideas to the community.

The JPBM Communications Award is given annually to reward and encourage communicators who, on a sustained basis, bring mathematical ideas and information to non-mathematical audiences. The prize may be awarded in two categories: For Public Outreach and For Expository and Popular Books. Nominations can be submitted via the AMS website.

The prize was established in 1986 in memory of Richard C. DiPrima, who served SIAM for many years and in 1979–1980 as SIAM President. It aims to recognize an early career researcher in applied mathematics and is based on the doctoral dissertation.

Established in 1987, the prize is awarded to the author or authors of the most outstanding paper on a topic in applicable linear algebra published in English in a peer-reviewed journal.

Established in 2017, the prize is awarded every three years to a post-PhD early career researcher for recent research contributions in the field of applicable linear algebra.

The prize recognizes students for outstanding solutions to real world math problems. It is awarded to two of the teams judged "Outstanding" in the Mathematical Contest in Modeling (MCM) administered annually by the Consortium for Mathematics and Its Applications (COMAP). Registration is accepted via the COMAP website.

The SIAM Outstanding Paper Prize is not currently active. For the 20 years before it was discontinued in 2019, the SIAM Outstanding Paper Prizes brought attention to papers published in SIAM journals. Three awards were made each year to the authors of papers deemed by SIAM journal editors-in-chief worthy of particular attention.

The prize, established in 1985 and originally intended to be awarded periodically, is now awarded annually for contributions to the advancement of applied mathematics on the national or international level.

SIAM Journal on Matrix Analysis and Applications (SIMAX) contains research articles and papers of interest to the numerical linear algebra community. SIMAX also contains papers that are of a theoretical nature but have a possible impact on applications.

Multiscale Modeling & Simulation
SIAM J. on Applied Algebra and Geometry
SIAM J. on Applied Dynamical Systems
SIAM J. on Applied Mathematics
SIAM J. on Computing
SIAM J. on Control and Optimization
SIAM J. on Discrete Mathematics
SIAM J. on Financial Mathematics
SIAM J. on Imaging Sciences
SIAM J. on Mathematical Analysis
SIAM J. on Matrix Analysis and Applications
SIAM J. on Numerical Analysis
SIAM J. on Optimization
SIAM J. on Scientific Computing
SIAM/ASA J. on Uncertainty Quantification
SIAM Review
Theory of Probability & Its Applications

General Opportunities

We know it can be overwhelming to keep track of career opportunities that may be relevant to you as a member of the SIAM community. So, we’ve compiled lists of some of our favorite fellowship, internship, and research opportunities. Check ‘em out!

Fellowships

Looking for financial support to further your research? Fellowships often provide funding plus experiential learning opportunities to young researchers. Learn more about fellowship opportunities.

Internships allow you to network and forge connections for future job possibilities, while also exploring possible areas of interest. Look at this list of companies who offer valuable opportunities.

Our community is founded on igniting groundbreaking developments in applied math and computational science. Take a deeper dive into your area of study with one of these opportunities.