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 Jiang Hu, Andre Milzarek, Zaiwen Wen, and Yaxiang Yuan SIAM Journal on Matrix Analysis and Applications, Volume 39, Issue 3, Page 1181-1207, January 2018. Optimization on Riemannian manifolds widely arises in eigenvalue computation, density functional theory, Bose--Einstein condensates,...

By Zlatko Drmač and Arvind Krishna Saibaba SIAM Journal on Matrix Analysis and Applications, Volume 39, Issue 3, Page 1152-1180, January 2018. New contributions are offered to the theory and numerical implementation of the discrete empirical...

By Fernando De Terán SIAM Journal on Matrix Analysis and Applications, Volume 39, Issue 3, Page 1116-1134, January 2018. The sets of $n\times n$ $\top$-palindromic, $\top$-antipalindromic, $\top$-even, and $\top$-odd matrix pencils with rank...

By Satoru Iwata and Mizuyo Takamatsu SIAM Journal on Matrix Analysis and Applications, Volume 39, Issue 3, Page 1135-1151, January 2018. This paper presents an algorithm for transforming a matrix pencil $A(s)$ into another matrix...

By Ariel Jaffe, Roi Weiss, and Boaz Nadler SIAM Journal on Matrix Analysis and Applications, Volume 39, Issue 3, Page 1071-1094, January 2018. Real eigenpairs of symmetric tensors play an important role in multiple applications. In this...

By Yu Guan, Moody T. Chu, and Delin Chu SIAM Journal on Matrix Analysis and Applications, Volume 39, Issue 3, Page 1095-1115, January 2018. This paper revisits the problem of finding the best rank-1 approximation to a symmetric...

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.

By Jiang Hu, Andre Milzarek, Zaiwen Wen, and Yaxiang Yuan SIAM Journal on Matrix Analysis and Applications, Volume 39, Issue 3, Page 1181-1207, January 2018. Optimization on Riemannian manifolds widely arises in eigenvalue computation, density functional theory, Bose--Einstein condensates,...

By Zlatko Drmač and Arvind Krishna Saibaba SIAM Journal on Matrix Analysis and Applications, Volume 39, Issue 3, Page 1152-1180, January 2018. New contributions are offered to the theory and numerical implementation of the discrete empirical...

By Fernando De Terán SIAM Journal on Matrix Analysis and Applications, Volume 39, Issue 3, Page 1116-1134, January 2018. The sets of $n\times n$ $\top$-palindromic, $\top$-antipalindromic, $\top$-even, and $\top$-odd matrix pencils with rank...

By Satoru Iwata and Mizuyo Takamatsu SIAM Journal on Matrix Analysis and Applications, Volume 39, Issue 3, Page 1135-1151, January 2018. This paper presents an algorithm for transforming a matrix pencil $A(s)$ into another matrix...

By Ariel Jaffe, Roi Weiss, and Boaz Nadler SIAM Journal on Matrix Analysis and Applications, Volume 39, Issue 3, Page 1071-1094, January 2018. Real eigenpairs of symmetric tensors play an important role in multiple applications. In this...

By Yu Guan, Moody T. Chu, and Delin Chu SIAM Journal on Matrix Analysis and Applications, Volume 39, Issue 3, Page 1095-1115, January 2018. This paper revisits the problem of finding the best rank-1 approximation to a symmetric...

By Klaus Neymeyr and Mathias Sawall SIAM Journal on Matrix Analysis and Applications, Volume 39, Issue 2, Page 1049-1069, January 2018. The nonnegative matrix factorization (NMF) problem $D=XY^T$ for a given nonnegative matrix $D$ and...

By Peter Benner, Pawan Goyal, and Serkan Gugercin SIAM Journal on Matrix Analysis and Applications, Volume 39, Issue 2, Page 983-1032, January 2018. We investigate the optimal model reduction problem for large-scale quadratic-bilinear (QB) control systems. Our...

By Keiichi Morikuni and Miroslav Rozložník SIAM Journal on Matrix Analysis and Applications, Volume 39, Issue 2, Page 1033-1048, January 2018. In this contribution, we study the numerical behavior of the generalized minimal residual (GMRES)...

By Serge Gratton and David Titley-Peloquin SIAM Journal on Matrix Analysis and Applications, Volume 39, Issue 2, Page 922-931, January 2018. We derive improved error bounds for small-sample statistical estimation of the matrix Frobenius norm....

By Fatemeh Panjeh Ali Beik and Michele Benzi SIAM Journal on Matrix Analysis and Applications, Volume 39, Issue 2, Page 902-921, January 2018. We consider the iterative solution of a class of linear systems with double saddle...

By Daniel Drzisga, Lorenz John, Ulrich Rüde, Barbara Wohlmuth, and Walter Zulehner SIAM Journal on Matrix Analysis and Applications, Volume 39, Issue 2, Page 932-960, January 2018. We discuss several Uzawa-type iterations as smoothers in the context of multigrid schemes for...

By Daniel Kressner, Ding Lu, and Bart Vandereycken SIAM Journal on Matrix Analysis and Applications, Volume 39, Issue 2, Page 961-982, January 2018. This paper is concerned with subspace acceleration techniques for computing the Crawford number, that...

By Casey Battaglino, Grey Ballard, and Tamara G. Kolda SIAM Journal on Matrix Analysis and Applications, Volume 39, Issue 2, Page 876-901, January 2018. The CANDECOMP/PARAFAC (CP) decomposition is a leading method for the analysis of multiway data....

By Junjun Pan and Michael K. Ng SIAM Journal on Matrix Analysis and Applications, Volume 39, Issue 2, Page 856-875, January 2018. In this paper, we study orthogonal nonnegative matrix factorization. We demonstrate the coefficient matrix...

By Xin Xing and Edmond Chow SIAM Journal on Matrix Analysis and Applications, Volume 39, Issue 2, Page 829-855, January 2018. Given a symmetric positive definite (s.p.d.) matrix, two methods are proposed for directly constructing...

By Jeffrey Uhlmann SIAM Journal on Matrix Analysis and Applications, Volume 39, Issue 2, Page 781-800, January 2018. A new generalized matrix inverse is derived which is consistent with respect to arbitrary...

By Evan S. Gawlik and Melvin Leok SIAM Journal on Matrix Analysis and Applications, Volume 39, Issue 2, Page 801-828, January 2018. We derive a family of high-order, structure-preserving approximations of the Riemannian exponential map on...

By Trevor Caldwell, Anne Greenbaum, and Kenan Li SIAM Journal on Matrix Analysis and Applications, Volume 39, Issue 2, Page 769-780, January 2018. In [SIAM J. Matrix Anal. Appl., 38 (2017), pp. 649--655], Crouzeix and Palencia show...

By D. Calvetti, F. Pitolli, E. Somersalo, and B. Vantaggi SIAM Review, Volume 60, Issue 2, Page 429-461, January 2018. The solution of linear inverse problems when the unknown parameters outnumber data requires addressing the problem of a nontrivial...

By Bailey K. Fosdick, Daniel B. Larremore, Joel Nishimura, and Johan Ugander SIAM Review, Volume 60, Issue 2, Page 315-355, January 2018. Random graph null models have found widespread application in diverse research communities analyzing network datasets, including social, information, and...

By Zhihan Gao SIAM Review, Volume 60, Issue 2, Page 409-426, January 2018. We study the metric $s$--$t$ path traveling salesman problem (TSP). An, Kleinberg, and Shmoys [Proceedings of the 44th ACM...

By Léon Bottou, Frank E. Curtis, and Jorge Nocedal SIAM Review, Volume 60, Issue 2, Page 223-311, January 2018. This paper provides a review and commentary on the past, present, and future of numerical optimization algorithms in the...

By Sanghyeon Yu and Habib Ammari SIAM Review, Volume 60, Issue 2, Page 356-385, January 2018. When metallic (or plasmonic) nanospheres are nearly touching, strong concentration of light can occur in the narrow gap regions....

By Nawaf Bou-Rabee SIAM Review, Volume 60, Issue 2, Page 386-406, January 2018. The numerical solution of stochastic partial differential equations (SPDEs) presents challenges not encountered in the simulation of PDEs or...

SIAM Review, Volume 60, Issue 2, Page 407-407, January 2018. The SIGEST article in this issue, On the Metric $s$-$t$ Path Traveling Salesman Problem, by Zhihan Gao, first appeared...

By J. M. Sanz-Serna SIAM Review, Volume 60, Issue 2, Page 221-221, January 2018. Recent spectacular success stories in machine learning are underpinned by applied mathematics techniques, and therefore many SIAM Review readers...

By Darinka Dentcheva SIAM Review, Volume 60, Issue 2, Page 427-428, January 2018. The Education section of this issue presents the article “Bayes Meets Krylov: Statistically Inspired Preconditioners for CGLS,” by D....

By Volker Schulz SIAM Review, Volume 60, Issue 2, Page 465-487, January 2018. The book reviews collected in this issue were still assembled by my predecessor, David Watkins, to whom I'm indebted...

By Misha E. Kilmer SIAM Review, Volume 60, Issue 2, Page 313-313, January 2018. This issue of SIAM Review features three articles in the Research Spotlights section. All three articles use novel...

By Bernhard Beckermann, Clara Mertens, and Raf Vandebril SIAM Journal on Matrix Analysis and Applications, Volume 39, Issue 2, Page 737-768, January 2018. Matrices whose adjoint is a low-rank perturbation of a rational function of the matrix...

By Daniel Ruiz, Annick Sartenaer, and Charlotte Tannier SIAM Journal on Matrix Analysis and Applications, Volume 39, Issue 2, Page 712-736, January 2018. Efficiently solving saddle point systems like Karush--Kuhn--Tucker (KKT) systems is crucial for many algorithms...

By Meiyue Shao, Felipe H. da Jornada, Lin Lin, Chao Yang, Jack Deslippe, and Steven G. Louie SIAM Journal on Matrix Analysis and Applications, Volume 39, Issue 2, Page 683-711, January 2018. We present a new structure preserving Lanczos algorithm for approximating the optical absorption spectrum...

By Sirani M. Perera and Jianhua Liu SIAM Journal on Matrix Analysis and Applications, Volume 39, Issue 2, Page 664-682, January 2018. This paper presents the lowest multiplication complexity, self-recursive, radix-2 DCT II/III algorithms for any...

By Mehdi S. Mousavi and Hristo S. Sendov SIAM Journal on Matrix Analysis and Applications, Volume 39, Issue 2, Page 632-663, January 2018. We propose and investigate a family of maps from the space of $n \times...

By Lei-Hong Zhang, Chungen Shen, Wei Hong Yang, and Joaquim J. Júdice SIAM Journal on Matrix Analysis and Applications, Volume 39, Issue 2, Page 611-631, January 2018. In this paper, we are concerned with an efficient algorithm for solving the extreme...

By Rafikul Alam and Namita Behera SIAM Journal on Matrix Analysis and Applications, Volume 39, Issue 2, Page 587-610, January 2018. We introduce generalized Fiedler (GF) pencils for an $n\times n$ rational matrix function $G(\lambda)$...

By Petros Drineas, Ilse C. F. Ipsen, Eugenia-Maria Kontopoulou, and Malik Magdon-Ismail SIAM Journal on Matrix Analysis and Applications, Volume 39, Issue 2, Page 567-586, January 2018. This paper is concerned with approximating the dominant left singular vector space of a...

By Florian Feppon and Pierre F. J. Lermusiaux SIAM Journal on Matrix Analysis and Applications, Volume 39, Issue 1, Page 510-538, January 2018. Any model order reduced dynamical system that evolves a modal decomposition to approximate the...

By Bernhard Beckermann, Daniel Kressner, and Marcel Schweitzer SIAM Journal on Matrix Analysis and Applications, Volume 39, Issue 1, Page 539-565, January 2018. We consider the task of updating a matrix function $f(A)$ when the matrix $A\in\mathbb{C}^{n...

By Howard C. Elman and Tengfei Su SIAM Journal on Matrix Analysis and Applications, Volume 39, Issue 1, Page 492-509, January 2018. We study a multigrid method for solving large linear systems of equations with tensor...

By Massimiliano Fasi and Nicholas J. Higham SIAM Journal on Matrix Analysis and Applications, Volume 39, Issue 1, Page 472-491, January 2018. Two algorithms are developed for computing the matrix logarithm in floating point arithmetic of...

By Valentin Khrulkov and Ivan Oseledets SIAM Journal on Matrix Analysis and Applications, Volume 39, Issue 1, Page 451-471, January 2018. The conventional ways to solve optimization problems on low-rank matrix sets which appear in...

By Zhening Li, Yuji Nakatsukasa, Tasuku Soma, and André Uschmajew SIAM Journal on Matrix Analysis and Applications, Volume 39, Issue 1, Page 400-425, January 2018. As is well known, the smallest possible ratio between the spectral norm and the...

By Christer Glader, Mikael Kurula, and Mikael Lindström SIAM Journal on Matrix Analysis and Applications, Volume 39, Issue 1, Page 346-364, January 2018. Crouzeix stated the following conjecture in [Integral Equations Operator Theory, 48 (2004), pp. 461-477]:...

By Michael Stewart SIAM Journal on Matrix Analysis and Applications, Volume 39, Issue 1, Page 365-399, January 2018. This paper describes a method that can be used either to compute exactly or...

By Thomas Ransford and Felix L. Schwenninger SIAM Journal on Matrix Analysis and Applications, Volume 39, Issue 1, Page 342-345, January 2018. Crouzeix and Palencia recently showed that the numerical range of a Hilbert-space operator is...

By Peter Grindrod, Desmond J. Higham, and Vanni Noferini SIAM Journal on Matrix Analysis and Applications, Volume 39, Issue 1, Page 310-341, January 2018. We introduce and study a new network centrality measure based on the concept of...

By Luis García Ramos and Reinhard Nabben SIAM Journal on Matrix Analysis and Applications, Volume 39, Issue 1, Page 262-286, January 2018. The deflation technique for accelerating Krylov subspace iterative methods for the solution of linear...

By Paul Breiding and Nick Vannieuwenhoven SIAM Journal on Matrix Analysis and Applications, Volume 39, Issue 1, Page 287-309, January 2018. The join set of a finite collection of smooth embedded submanifolds of a mutual...

By Ralf Zimmermann, Benjamin Peherstorfer, and Karen Willcox SIAM Journal on Matrix Analysis and Applications, Volume 39, Issue 1, Page 234-261, January 2018. In many scientific applications, including model reduction and image processing, subspaces are used as...

By Misha E. Kilmer SIAM Review, Volume 60, Issue 1, Page 93-93, January 2018. The first of the two papers appearing in this issue's Research Spotlights section is “A Gillespie Algorithm for Non-Markovian...

By Darinka Dentcheva SIAM Review, Volume 60, Issue 1, Page 179-180, January 2018. The Education section of this issue focuses on fair games. The article, “Making the Rules of Sports Fairer,” by...

SIAM Review, Volume 60, Issue 1, Page 137-137, January 2018. The SIGEST article in this issue, “Second-Order Necessary Conditions for Stochastic Optimal Control Problems,” by Haisen Zhang and Xu...

By J. M. Sanz-Serna SIAM Review, Volume 60, Issue 1, Page 1-1, January 2018. The first Survey and Review paper in this issue, “Inverse, Shifted Inverse, and Rayleigh Quotient Iteration as Newton's Methods,”...

By Volker H. Schulz SIAM Review, Volume 60, Issue 1, Page 205-220, January 2018. For decades, the Book Reviews section of SIAM Review has been publishing personal assessments and recommendations on books which...

By Naoki Masuda and Luis E. C. Rocha SIAM Review, Volume 60, Issue 1, Page 95-115, January 2018. The Gillespie algorithm provides statistically exact methods for simulating stochastic dynamics modeled as interacting sequences of discrete events including...

By Richard A. Tapia, J. E. Dennis, and Jan P. Schäfermeyer SIAM Review, Volume 60, Issue 1, Page 3-55, January 2018. The $l_2$ normalized inverse, shifted inverse, and Rayleigh quotient iterations are classic algorithms for approximating an eigenvector of...

By Steven J. Brams and Mehmet S. Ismail SIAM Review, Volume 60, Issue 1, Page 181-202, January 2018. The rules of many sports are not fair---they do not ensure that equally skilled competitors have the same probability...

By Andreas Bartel and Michael Günther SIAM Review, Volume 60, Issue 1, Page 56-91, January 2018. Modeling with partial differential-algebraic equations is a natural and universal approach valid for various applications with coupled subsystems. This...

By Haisen Zhang and Xu Zhang SIAM Review, Volume 60, Issue 1, Page 139-178, January 2018. The main purpose of this paper is to present some of our recent results about the second-order necessary conditions...

By Mike R. Jeffrey SIAM Review, Volume 60, Issue 1, Page 116-136, January 2018. Transitions between steady dynamical regimes in diverse applications are often modeled using discontinuities, but doing so introduces problems of...

By Vu Hoang Linh, Ngo Thi Thanh Nga, and Do Duc Thuan SIAM Journal on Matrix Analysis and Applications, Volume 39, Issue 1, Page 204-233, January 2018. In this paper, solvability, stability, and robust stability of linear time-varying singular systems of...

By Massimiliano Fasi and Bruno Iannazzo SIAM Journal on Matrix Analysis and Applications, Volume 39, Issue 1, Page 178-203, January 2018. We investigate different approaches for computing the action of the weighted geometric mean of...

By Yuji Nakatsukasa, Leo Taslaman, Françoise Tisseur, and Ion Zaballa SIAM Journal on Matrix Analysis and Applications, Volume 39, Issue 1, Page 148-177, January 2018. A square matrix can be reduced to simpler form via similarity transformations. Here “simpler...

By Andrea Franceschini, Victor Antonio Paludetto Magri, Massimiliano Ferronato, and Carlo Janna SIAM Journal on Matrix Analysis and Applications, Volume 39, Issue 1, Page 123-147, January 2018. The use of factorized sparse approximate inverse (FSAI) preconditioners in a standard multilevel framework...

By Simon Foucart SIAM Journal on Matrix Analysis and Applications, Volume 39, Issue 1, Page 99-103, January 2018. We propose a simple proof of a generalized Mirsky inequality comparing the differences of...

By Anna Ma, Deanna Needell, and Aaditya Ramdas SIAM Journal on Matrix Analysis and Applications, Volume 39, Issue 1, Page 104-122, January 2018. Stochastic iterative algorithms such as the Kaczmarz and Gauss--Seidel methods have gained recent attention...

By Balázs Gerencsér, Vladimir V. Gusev, and Raphaël M. Jungers SIAM Journal on Matrix Analysis and Applications, Volume 39, Issue 1, Page 83-98, January 2018. A set of nonnegative matrices $\mathcal{M}=\{M_1, M_2, \ldots, M_k\}$ is called primitive if there...

By Fatih Kangal, Karl Meerbergen, Emre Mengi, and Wim Michiels SIAM Journal on Matrix Analysis and Applications, Volume 39, Issue 1, Page 48-82, January 2018. We consider the minimization or maximization of the $J$th largest eigenvalue of an analytic...

By Daniel Kressner and Robert Luce SIAM Journal on Matrix Analysis and Applications, Volume 39, Issue 1, Page 23-47, January 2018. The computation of the matrix exponential is a ubiquitous operation in numerical mathematics, and...

By Jianze Li, Konstantin Usevich, and Pierre Comon SIAM Journal on Matrix Analysis and Applications, Volume 39, Issue 1, Page 1-22, January 2018. In this paper, we consider a family of Jacobi-type algorithms for a simultaneous orthogonal...

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.

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.

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

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 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.

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.

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 will be awarded for the first time to a post-PhD early career researcher for recent research contributions in the field of applicable linear algebra.

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.

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.

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.

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.

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.

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 SIAM Outstanding Paper Prizes bring attention to papers published in SIAM journals. Three awards are 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.

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!

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.

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