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 Peter Benner and Tim Mitchell SIAM Journal on Matrix Analysis and Applications, Volume 40, Issue 4, Page 1325-1352, January 2019. In this paper, we extend the original criss-cross algorithms for computing the $\varepsilon$-pseudospectral abscissa...

By Austin R. Benson and David F. Gleich SIAM Journal on Matrix Analysis and Applications, Volume 40, Issue 4, Page 1311-1324, January 2019. We present a new framework for computing $Z$-eigenvectors of general tensors based on numerically...

By Vjeran Hari SIAM Journal on Matrix Analysis and Applications, Volume 40, Issue 4, Page 1291-1310, January 2019. The paper considers a Jacobi method for solving the generalized eigenvalue problem $Ax=\lambda Bx$,...

By Leslie Greengard and Shidong Jiang SIAM Review, Volume 61, Issue 4, Page 733-755, January 2019. We present a new integral representation for the unsteady, incompressible Stokes or Navier--Stokes equations, based on a linear combination...

By Jon Cockayne, Chris J. Oates, T. J. Sullivan, and Mark Girolami SIAM Review, Volume 61, Issue 4, Page 756-789, January 2019. Over forty years ago average-case error was proposed in the applied mathematics literature as an alternative criterion with which...

By Gábor Pataki SIAM Review, Volume 61, Issue 4, Page 839-859, January 2019. Semidefinite programs (SDPs)---some of the most useful and versatile optimization problems of the last few decades---are often...

By Catherine F. Higham and Desmond J. Higham SIAM Review, Volume 61, Issue 4, Page 860-891, January 2019. Multilayered artificial neural networks are becoming a pervasive tool in a host of application fields. At the heart of...

By Guo Luo and Thomas Y. Hou SIAM Review, Volume 61, Issue 4, Page 793-835, January 2019. Whether the three-dimensional incompressible Euler equations can develop a singularity in finite time from smooth initial data is one...

By Olga Y. Kushel SIAM Review, Volume 61, Issue 4, Page 643-729, January 2019. Multiplicative and additive $D$-stability, diagonal stability, Schur $D$-stability, and $H$-stability are classical concepts which arise in studying linear dynamical...

By Darinka Dentcheva SIAM Review, Volume 61, Issue 4, Page 837-838, January 2019. The Education section of SIAM Review presents two papers in this issue. In the first paper Gábor Pataki ...

By Misha E. Kilmer SIAM Review, Volume 61, Issue 4, Page 731-731, January 2019. Numerical solution of the Navier--Stokes equations in both two and three dimensions is the subject of the first of...

By Volker H. Schulz SIAM Review, Volume 61, Issue 4, Page 895-906, January 2019. The book reviews section serves to inform readers about current important books from a personal point of view. However,...

By The Editors SIAM Review, Volume 61, Issue 4, Page 791-791, January 2019. The SIGEST article in this issue is “Formation of Finite-Time Singularities in the 3D Axisymmetric Euler Equations: A Numerics...

By J. M. Sanz-Serna SIAM Review, Volume 61, Issue 4, Page 641-641, January 2019. It is a safe bet that most readers use matrices in their work. It is often of interest to...

By Srikara Pranesh
Floating-point arithmetic is fundamental to scientific computing and lies at the heart of almost all numerical computations. The 1985 IEEE standard 754 for floating-point ...

By Jesse L. Barlow SIAM Journal on Matrix Analysis and Applications, Volume 40, Issue 4, Page 1257-1290, January 2019. New block modified Gram--Schmidt (BMGS) methods for the Q-R factorization of a full column...

By Massimiliano Fasi and Nicholas J. Higham SIAM Journal on Matrix Analysis and Applications, Volume 40, Issue 4, Page 1233-1256, January 2019. The most popular algorithms for computing the matrix exponential are those based on the...

By Sebastian Krämer SIAM Journal on Matrix Analysis and Applications, Volume 40, Issue 3, Page 1153-1178, January 2019. Tree tensor networks such as the tensor train (TT) format are a common tool...

By Peter Benner and Tim Mitchell SIAM Journal on Matrix Analysis and Applications, Volume 40, Issue 4, Page 1325-1352, January 2019. In this paper, we extend the original criss-cross algorithms for computing the $\varepsilon$-pseudospectral abscissa...

By Austin R. Benson and David F. Gleich SIAM Journal on Matrix Analysis and Applications, Volume 40, Issue 4, Page 1311-1324, January 2019. We present a new framework for computing $Z$-eigenvectors of general tensors based on numerically...

By Vjeran Hari SIAM Journal on Matrix Analysis and Applications, Volume 40, Issue 4, Page 1291-1310, January 2019. The paper considers a Jacobi method for solving the generalized eigenvalue problem $Ax=\lambda Bx$,...

By Leslie Greengard and Shidong Jiang SIAM Review, Volume 61, Issue 4, Page 733-755, January 2019. We present a new integral representation for the unsteady, incompressible Stokes or Navier--Stokes equations, based on a linear combination...

By Jon Cockayne, Chris J. Oates, T. J. Sullivan, and Mark Girolami SIAM Review, Volume 61, Issue 4, Page 756-789, January 2019. Over forty years ago average-case error was proposed in the applied mathematics literature as an alternative criterion with which...

By Gábor Pataki SIAM Review, Volume 61, Issue 4, Page 839-859, January 2019. Semidefinite programs (SDPs)---some of the most useful and versatile optimization problems of the last few decades---are often...

By Catherine F. Higham and Desmond J. Higham SIAM Review, Volume 61, Issue 4, Page 860-891, January 2019. Multilayered artificial neural networks are becoming a pervasive tool in a host of application fields. At the heart of...

By Guo Luo and Thomas Y. Hou SIAM Review, Volume 61, Issue 4, Page 793-835, January 2019. Whether the three-dimensional incompressible Euler equations can develop a singularity in finite time from smooth initial data is one...

By Olga Y. Kushel SIAM Review, Volume 61, Issue 4, Page 643-729, January 2019. Multiplicative and additive $D$-stability, diagonal stability, Schur $D$-stability, and $H$-stability are classical concepts which arise in studying linear dynamical...

By Darinka Dentcheva SIAM Review, Volume 61, Issue 4, Page 837-838, January 2019. The Education section of SIAM Review presents two papers in this issue. In the first paper Gábor Pataki ...

By Misha E. Kilmer SIAM Review, Volume 61, Issue 4, Page 731-731, January 2019. Numerical solution of the Navier--Stokes equations in both two and three dimensions is the subject of the first of...

By Volker H. Schulz SIAM Review, Volume 61, Issue 4, Page 895-906, January 2019. The book reviews section serves to inform readers about current important books from a personal point of view. However,...

By The Editors SIAM Review, Volume 61, Issue 4, Page 791-791, January 2019. The SIGEST article in this issue is “Formation of Finite-Time Singularities in the 3D Axisymmetric Euler Equations: A Numerics...

By J. M. Sanz-Serna SIAM Review, Volume 61, Issue 4, Page 641-641, January 2019. It is a safe bet that most readers use matrices in their work. It is often of interest to...

By Jesse L. Barlow SIAM Journal on Matrix Analysis and Applications, Volume 40, Issue 4, Page 1257-1290, January 2019. New block modified Gram--Schmidt (BMGS) methods for the Q-R factorization of a full column...

By Massimiliano Fasi and Nicholas J. Higham SIAM Journal on Matrix Analysis and Applications, Volume 40, Issue 4, Page 1233-1256, January 2019. The most popular algorithms for computing the matrix exponential are those based on the...

By Sebastian Krämer SIAM Journal on Matrix Analysis and Applications, Volume 40, Issue 3, Page 1153-1178, January 2019. Tree tensor networks such as the tensor train (TT) format are a common tool...

By Antoine Gautier, Francesco Tudisco, and Matthias Hein SIAM Journal on Matrix Analysis and Applications, Volume 40, Issue 3, Page 1206-1231, January 2019. We introduce the concept of shape partition of a tensor and formulate a general...

By Antoine Gautier, Francesco Tudisco, and Matthias Hein SIAM Journal on Matrix Analysis and Applications, Volume 40, Issue 3, Page 1179-1205, January 2019. The Perron--Frobenius theory for nonnegative matrices has been generalized to order-preserving homogeneous mappings on...

By Xiaozhe Hu and Panayot S. Vassilevski SIAM Journal on Matrix Analysis and Applications, Volume 40, Issue 3, Page 1131-1152, January 2019. Algebraic multigrid (AMG) coarse spaces are commonly constructed so that they exhibit the so-called...

By Mateusz Michałek, Tim Seynnaeve, and Frank Verstraete SIAM Journal on Matrix Analysis and Applications, Volume 40, Issue 3, Page 1125-1130, January 2019. We prove boundedness results for the injectivity regions for projected entangled pair states. Our...

By Ron Estrin, Dominique Orban, and Michael A. Saunders SIAM Journal on Matrix Analysis and Applications, Volume 40, Issue 3, Page 1102-1124, January 2019. We describe LNLQ for solving the least-norm problem min $\|x\|$ subject to $Ax=b$, using...

By Michel Crouzeix and Anne Greenbaum SIAM Journal on Matrix Analysis and Applications, Volume 40, Issue 3, Page 1087-1101, January 2019. We extend the proof in [M. Crouzeix and C. Palencia, SIAM J. Matrix Anal....

By Paola Ferrari, Isabella Furci, Sean Hon, Mohammad Ayman Mursaleen, and Stefano Serra-Capizzano SIAM Journal on Matrix Analysis and Applications, Volume 40, Issue 3, Page 1066-1086, January 2019. Given a Lebesgue integrable function $f$ over $[-\pi,\pi]$, we consider the sequence of matrices...

By Yu Guan and Delin Chu SIAM Journal on Matrix Analysis and Applications, Volume 40, Issue 3, Page 1047-1065, January 2019. In this paper we study the orthogonal low-rank approximation problem of tensors in the...

By Dana Lahat, Christian Jutten, and Helene Shapiro SIAM Journal on Matrix Analysis and Applications, Volume 40, Issue 3, Page 998-1021, January 2019. Let $\mathcal A = \{A_{ij} \}_{i, j \in \mathcal I}$, where $\mathcal I$ is...

By Michiel E. Hochstenbach, Christian Mehl, and Bor Plestenjak SIAM Journal on Matrix Analysis and Applications, Volume 40, Issue 3, Page 1022-1046, January 2019. Generalized eigenvalue problems involving a singular pencil are very challenging to solve, with respect...

By Roy Mitz, Nir Sharon, and Yoel Shkolnisky SIAM Journal on Matrix Analysis and Applications, Volume 40, Issue 3, Page 973-997, January 2019. Rank-one update of the spectrum of a matrix is a fundamental problem in classical...

By Jie Shen, Jie Xu, and Jiang Yang SIAM Review, Volume 61, Issue 3, Page 474-506, January 2019. We propose a new numerical technique to deal with nonlinear terms in gradient flows. By introducing...

By Arjun S. Ramani, Nicole Eikmeier, and David F. Gleich SIAM Review, Volume 61, Issue 3, Page 549-595, January 2019. Common models for random graphs, such as Erdös--Rényi and Kronecker graphs, correspond to generating random adjacency matrices where each...

By Johan S. H. van Leeuwaarden, Britt W. J. Mathijsen, and Bert Zwart SIAM Review, Volume 61, Issue 3, Page 403-440, January 2019. Multiserver queueing systems describe situations in which users require service from multiple parallel servers. Examples include check-in lines...

By Ben Adcock and Daan Huybrechs SIAM Review, Volume 61, Issue 3, Page 443-473, January 2019. Functions of one or more variables are usually approximated with a basis: a complete, linearly independent system of functions...

By T. J. Dodwell, C. Ketelsen, R. Scheichl, and A. L. Teckentrup SIAM Review, Volume 61, Issue 3, Page 509-545, January 2019. In this paper we address the problem of the prohibitively large computational cost of existing Markov chain Monte Carlo...

By Roger Cropp and John Norbury SIAM Review, Volume 61, Issue 3, Page 596-622, January 2019. Obligate mutualist interactions appear to be ubiquitous in nature but cannot be described by the simple models that have...

By Daan Camps, Karl Meerbergen, and Raf Vandebril SIAM Journal on Matrix Analysis and Applications, Volume 40, Issue 3, Page 943-972, January 2019. We propose a rational QZ method for the solution of the dense, unsymmetric generalized...

By The Editors SIAM Review, Volume 61, Issue 3, Page 507-507, January 2019. In this section we present “Multilevel Markov Chain Monte Carlo,” by T. J. Dodwell, C. Ketelsen, R. Scheichl, and...

By Volker H. Schulz SIAM Review, Volume 61, Issue 3, Page 625-640, January 2019. This time, the Book Reviews section has a large portion of books devoted to system dynamics and applications. The...

By Misha E. Kilmer SIAM Review, Volume 61, Issue 3, Page 441-441, January 2019. The issue of accurate function approximation is an important topic in numerical analysis. The first Research Spotlights article,...

By J. M. Sanz-Serna SIAM Review, Volume 61, Issue 3, Page 401-401, January 2019. Johan S. H. van Leeuwaarden, Britt W. J. Mathijsen, and Bert Zwart are the authors of the Survey and...

By Darinka Dentcheva SIAM Review, Volume 61, Issue 3, Page 547-548, January 2019. This issue of SIAM Review presents two papers in the Education section. The first is “Coin-Flipping, Ball-Dropping, and Grass-Hopping...

By Zhonggang Zeng SIAM Journal on Matrix Analysis and Applications, Volume 40, Issue 3, Page 918-942, January 2019. Solving a singular linear system for an individual vector solution is an ill-posed problem...

By Mikael Sørensen and Lieven De Lathauwer SIAM Journal on Matrix Analysis and Applications, Volume 40, Issue 3, Page 888-917, January 2019. Tensor decompositions play an important role in a variety of applications,...

By J. Pestana SIAM Journal on Matrix Analysis and Applications, Volume 40, Issue 3, Page 870-887, January 2019. When solving linear systems with nonsymmetric Toeplitz or multilevel Toeplitz matrices using Krylov subspace...

By Wim Michiels and Bin Zhou SIAM Journal on Matrix Analysis and Applications, Volume 40, Issue 3, Page 845-869, January 2019. A delay Lyapunov matrix corresponding to an exponentially stable system of linear time-invariant delay...

By I. Ben Gharbia and J. Ch. Gilbert SIAM Journal on Matrix Analysis and Applications, Volume 40, Issue 2, Page 800-813, January 2019. The paper “An Algorithmic Characterization of P-Matricity” [SIAM J. Matrix Anal. Appl., 34...

By Florian Feppon and Pierre F. J. Lermusiaux SIAM Journal on Matrix Analysis and Applications, Volume 40, Issue 2, Page 814-844, January 2019. A generalization of the concepts of extrinsic curvature and Weingarten endomorphism is introduced...

By Bahar Arslan, Vanni Noferini, and Françoise Tisseur SIAM Journal on Matrix Analysis and Applications, Volume 40, Issue 2, Page 774-799, January 2019. We study the structured condition number of differentiable maps between smooth matrix manifolds, extending...

By Carlos Beltrán, Paul Breiding, and Nick Vannieuwenhoven SIAM Journal on Matrix Analysis and Applications, Volume 40, Issue 2, Page 739-773, January 2019. We prove the existence of an open set of $n_1\times n_2 \times n_3$ tensors...

By Luis M. Anguas, Froilán M. Dopico, Richard Hollister, and D. Steven Mackey SIAM Journal on Matrix Analysis and Applications, Volume 40, Issue 2, Page 720-738, January 2019. The structural data of any rational matrix $R(\lambda)$, i.e., the structural indices of its...

By Evan S. Gawlik SIAM Journal on Matrix Analysis and Applications, Volume 40, Issue 2, Page 696-719, January 2019. We construct a family of iterations for computing the principal square root of a...

By Rafikul Alam and Sk. Safique Ahmad SIAM Journal on Matrix Analysis and Applications, Volume 40, Issue 2, Page 672-695, January 2019. Let $P : \Omega \subset {\mathbb C} \rightarrow {\mathbb C}^{n\times n}$ be...

By Gabriel Okša, Yusaku Yamamoto, Martin Bečka, and Marián Vajteršic SIAM Journal on Matrix Analysis and Applications, Volume 40, Issue 2, Page 639-671, January 2019. We present a proof of the global and asymptotic quadratic convergence of the serial...

By Christopher Lourenco, Adolfo R. Escobedo, Erick Moreno-Centeno, and Timothy A. Davis SIAM Journal on Matrix Analysis and Applications, Volume 40, Issue 2, Page 609-638, January 2019. The roundoff-error-free (REF) LU factorization, along with the REF forward and backward substitution algorithms,...

By Giulia Sacchi and Valeria Simoncini SIAM Journal on Matrix Analysis and Applications, Volume 40, Issue 2, Page 542-563, January 2019. The Generalized Minimal RESidual (gmres) method is a well-established strategy for iteratively solving a...

By Ben S. Southworth SIAM Journal on Matrix Analysis and Applications, Volume 40, Issue 2, Page 564-608, January 2019. Parareal and multigrid reduction in time (MGRiT) are two of the most popular parallel-in-time...

By Dan Wilson and Bard Ermentrout SIAM Review, Volume 61, Issue 2, Page 277-315, January 2019. While phase reduction is a tremendously useful tool for understanding the dynamics of weakly perturbed limit cycle oscillators,...

By Bernhard Beckermann and Alex Townsend SIAM Review, Volume 61, Issue 2, Page 319-344, January 2019. Matrices with displacement structure, such as Pick, Vandermonde, and Hankel matrices, appear in a diverse range of applications. In...

By Samuel Awoniyi and Ira Wheaton SIAM Review, Volume 61, Issue 2, Page 347-360, January 2019. This education article presents a case for first courses on Markov chain modeling to include the topic “sojourn time...

By Guodong Shi, Claudio Altafini, and John S. Baras SIAM Review, Volume 61, Issue 2, Page 229-257, January 2019. A signed network is a network in which each link is associated with a positive or negative sign....

By Richard D. Neidinger SIAM Review, Volume 61, Issue 2, Page 361-381, January 2019. Techniques of univariate Newton interpolating polynomials are extended to multivariate data points by different generalizations and practical algorithms. ...

By Beate Ehrhardt and Patrick J. Wolfe SIAM Review, Volume 61, Issue 2, Page 261-276, January 2019. We characterize the large-sample properties of network modularity in the presence of covariates, under a natural and flexible null...

By Misha E. Kilmer SIAM Review, Volume 61, Issue 2, Page 259-259, January 2019. The paper “Network Modularity in the Presence of Covariates," by Beate Ehrhardt and Patrick J. Wolfe, is the first...

By Darinka Dentcheva SIAM Review, Volume 61, Issue 2, Page 345-346, January 2019. This issue of SIAM Review contains two papers in the Education section. The first paper is “Case for First...

By J. M. Sanz-Serna SIAM Review, Volume 61, Issue 2, Page 227-227, January 2019. ``Dynamics over Signed Networks,” by Guodong Shi, Claudio Altafini, and John S. Baras, is the Survey and Review article...

By Volker H. Schulz SIAM Review, Volume 61, Issue 2, Page 385-400, January 2019. Sometimes, people confuse artificial neural networks (ANNs) with real biological brains, at least metaphorically. The section starts with a...

By The Editors SIAM Review, Volume 61, Issue 2, Page 317-317, January 2019. The SIGEST article in this issue is “Bounds on the Singular Values of Matrices with Displacement Structure,” by Bernhard...

By Sabine Le Borne SIAM Journal on Matrix Analysis and Applications, Volume 40, Issue 2, Page 517-541, January 2019. Radial basis function (RBF) interpolation is a powerful, meshfree tool for function approximation but...

By Jiawang Nie and Ke Ye SIAM Journal on Matrix Analysis and Applications, Volume 40, Issue 2, Page 486-516, January 2019. Hankel tensors are generalizations of Hankel matrices. This article studies both the computational and...

By Liron Mor-Yosef and Haim Avron SIAM Journal on Matrix Analysis and Applications, Volume 40, Issue 2, Page 454-485, January 2019. Principal component regression (PCR) is a useful method for regularizing least squares approximations. Although...

By Itziar Baragan͂a and Alicia Roca SIAM Journal on Matrix Analysis and Applications, Volume 40, Issue 2, Page 440-453, January 2019. We solve the problem of determining the Weierstrass structure of a regular matrix pencil...

By Max Pfeffer, Anna Seigal, and Bernd Sturmfels SIAM Journal on Matrix Analysis and Applications, Volume 40, Issue 2, Page 394-416, January 2019. Matrix congruence extends naturally to the setting of tensors. We apply methods from tensor...

By Lek-Heng Lim, Ken Sze-Wai Wong, and Ke Ye SIAM Journal on Matrix Analysis and Applications, Volume 40, Issue 2, Page 371-393, January 2019. The affine Grassmannian is a noncompact smooth manifold that parameterizes all affine subspaces of...

By Emmanuel Agullo, Luc Giraud, and Louis Poirel SIAM Journal on Matrix Analysis and Applications, Volume 40, Issue 2, Page 417-439, January 2019. The solution of large sparse linear systems is one of the most time consuming...

By Marija Dodig and Marko Stošić SIAM Journal on Matrix Analysis and Applications, Volume 40, Issue 1, Page 347-369, January 2019. In this paper we resolve a classical, long-standing open general matrix pencil completion problem...

By Petros Drineas and Ilse C. F. Ipsen SIAM Journal on Matrix Analysis and Applications, Volume 40, Issue 1, Page 299-319, January 2019. Low-rank approximations to a real matrix $\mathbf{A}$ can be computed from $\mathbf{Z}\mathbf{Z}^T\mathbf{A}$, where $\mathbf{Z}$...

By James Hook, Jennifer Pestana, Françoise Tisseur, and Jonathan Hogg SIAM Journal on Matrix Analysis and Applications, Volume 40, Issue 1, Page 320-346, January 2019. A Hungarian scaling is a diagonal scaling of a matrix that is typically applied...

By Parsiad Azimzadeh and Erhan Bayraktar SIAM Journal on Matrix Analysis and Applications, Volume 40, Issue 1, Page 276-298, January 2019. We introduce high order Bellman equations, extending classical Bellman equations to the tensor setting....

By Ron Estrin, Dominique Orban, and Michael Saunders SIAM Journal on Matrix Analysis and Applications, Volume 40, Issue 1, Page 235-253, January 2019. For positive definite and semidefinite consistent $Ax_\star=b$, we use the Gauss--Radau approach of Golub...

By Ron Estrin, Dominique Orban, and Michael A. Saunders SIAM Journal on Matrix Analysis and Applications, Volume 40, Issue 1, Page 254-275, January 2019. We propose an iterative method named LSLQ for solving linear least-squares problems of any...

By Mustafa Ç Pinar SIAM Journal on Matrix Analysis and Applications, Volume 40, Issue 1, Page 194-209, January 2019. The problem of exact recovery of an individual sparse vector using the Basis Pursuit...

By Jared L. Aurentz, Anthony P. Austin, Michele Benzi, and Vassilis Kalantzis SIAM Journal on Matrix Analysis and Applications, Volume 40, Issue 1, Page 210-234, January 2019. Generalized matrix functions (GMFs) extend the concept of a matrix function to rectangular matrices...

By Martin J. Gander and Hui Zhang SIAM Review, Volume 61, Issue 1, Page 3-76, January 2019. Solving time-harmonic wave propagation problems by iterative methods is a difficult task, and over the last two decades an...

By Eddie Nijholt, Bob Rink, and Jan Sanders SIAM Review, Volume 61, Issue 1, Page 121-155, January 2019. Many systems in science and technology are networks: they consist of nodes with connections between them. Examples include electronic...

By Gjerrit Meinsma SIAM Review, Volume 61, Issue 1, Page 159-184, January 2019. A complete theory of dimensional and scaling analysis is presented and its power is demonstrated through a series of...

By Simone Carlo Surace, Anna Kutschireiter, and Jean-Pascal Pfister SIAM Review, Volume 61, Issue 1, Page 79-91, January 2019. Particle filters are a popular and flexible class of numerical algorithms to solve a large class of nonlinear filtering...

By Peter G. Fennell and James P. Gleeson SIAM Review, Volume 61, Issue 1, Page 92-118, January 2019. Multistate dynamical processes on networks, where nodes can occupy one of a multitude of discrete states, are gaining widespread...

By Silviu Filip, Aurya Javeed, and Lloyd N. Trefethen SIAM Review, Volume 61, Issue 1, Page 185-205, January 2019. The usual way in which mathematicians work with randomness is by a rigorous formulation of the idea of Brownian...

By Darinka Dentcheva SIAM Review, Volume 61, Issue 1, Page 157-158, January 2019. In this issue, the Education section of SIAM Review presents two papers. The first is “Dimensional and Scaling Analysis,”...

By Misha E. Kilmer SIAM Review, Volume 61, Issue 1, Page 77-77, January 2019. Short and to the point, “How to Avoid the Curse of Dimensionality: Scalability of Particle Filters with and...

By Volker H. Schulz SIAM Review, Volume 61, Issue 1, Page 209-225, January 2019. This time, the Book Reviews section has a large portion of reviews on books devoted to applications---in particular medical...

By J. M. Sanz-Serna SIAM Review, Volume 61, Issue 1, Page 1-1, January 2019. The Survey and Review article in this issue is “A Class of Iterative Solvers for the Helmholtz Equation: Factorizations,...

By The Editors SIAM Review, Volume 61, Issue 1, Page 119-119, January 2019. Over the last fifteen years, SIAM Review has published a range of articles in the general area of network...

By Diego Armentano and Carlos Beltrán SIAM Journal on Matrix Analysis and Applications, Volume 40, Issue 1, Page 175-193, January 2019. We compute the exact expected value of the squared condition number for the polynomial...

By Jürgen Dölz, Helmut Harbrecht, and Michael D. Multerer SIAM Journal on Matrix Analysis and Applications, Volume 40, Issue 1, Page 147-174, January 2019. The multiplication of matrices is an important arithmetic operation in computational mathematics. In the...

By Yvan Notay SIAM Journal on Matrix Analysis and Applications, Volume 40, Issue 1, Page 122-146, January 2019. We consider the iterative solution of linear systems with a symmetric saddle point system...

By Ivan Dokmanić and Rémi Gribonval SIAM Journal on Matrix Analysis and Applications, Volume 40, Issue 1, Page 92-121, January 2019. In many applications it is useful to replace the Moore--Penrose pseudoinverse (MPP) by a...

By Hussam Al Daas and Laura Grigori SIAM Journal on Matrix Analysis and Applications, Volume 40, Issue 1, Page 66-91, January 2019. In this paper we present a class of robust and fully algebraic two-level preconditioners...

By Katherine Fitch SIAM Journal on Matrix Analysis and Applications, Volume 40, Issue 1, Page 49-65, January 2019. This work presents a new method for symmetrization of directed graphs that constructs an...

By Arvind K. Saibaba SIAM Journal on Matrix Analysis and Applications, Volume 40, Issue 1, Page 23-48, January 2019. This paper analyzes the randomized subspace iteration for the computation of low-rank approximations. We...

By Eleonora Andreotti, Dominik Edelmann, Nicola Guglielmi, and Christian Lubich SIAM Journal on Matrix Analysis and Applications, Volume 40, Issue 1, Page 1-22, January 2019. A novel algorithmic approach is presented for the problem of partitioning a connected undirected...

By Srikara Pranesh
Floating-point arithmetic is fundamental to scientific computing and lies at the heart of almost all numerical computations. The 1985 IEEE standard 754 for floating-point ...

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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.