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 M. Christandl, F. Gesmundo, M. Michałek, and J. Zuiddam SIAM Journal on Matrix Analysis and Applications, Volume 42, Issue 2, Page 503-527, January 2021. Whereas matrix rank is additive under direct sum, in 1981 Schönhage showed that one...

By Tim Mitchell SIAM Journal on Matrix Analysis and Applications, Volume 42, Issue 2, Page 578-607, January 2021. We propose a new approach to computing global minimizers of singular value functions in...

By Antoni Musolas, Steven T. Smith, and Youssef Marzouk SIAM Journal on Matrix Analysis and Applications, Volume 42, Issue 2, Page 528-556, January 2021. Statistical modeling of spatiotemporal phenomena often requires selecting a covariance matrix from a covariance...

By Stefan Steinerberger SIAM Journal on Matrix Analysis and Applications, Volume 42, Issue 2, Page 608-615, January 2021. Randomized Kaczmarz is a simple iterative method for finding solutions of linear systems $Ax...

By Larry Allen and Robert C. Kirby SIAM Journal on Matrix Analysis and Applications, Volume 42, Issue 2, Page 557-577, January 2021. Bernstein polynomials, long a staple of approximation theory and computational geometry, have also increasingly...

By Ignat Domanov and Lieven De Lathauwer SIAM Journal on Matrix Analysis and Applications, Volume 42, Issue 2, Page 449-474, January 2021. Decompositions of higher-order tensors into sums of simple terms are ubiquitous. We show...

By L. Robert Hocking and Chen Greif SIAM Journal on Matrix Analysis and Applications, Volume 42, Issue 2, Page 475-502, January 2021. We derive optimal complex relaxation parameters minimizing smoothing factors associated with multigrid using...

Congratulations to the following three members of the SIAM community who will receive awards at the virtual SIAM Conference on Applied Linear Algebra (LA21). Additional information about each ...

Mathematics and statistics play a vital part in everyday life. Mathematical and statistical techniques are used to help solve real-world problems, focusing on topics such as disease spread, ...

By Field Van Zee , Robert van de Geijn , Maggie Myers , Devangi Parikh , and Devin Matthews
The Basic Linear Algebra Subprograms (BLAS) have profoundly impacted scientific software ...

By Jan Blechta SIAM Journal on Matrix Analysis and Applications, Volume 42, Issue 1, Page 436-447, January 2021. Suppose that a linear bounded operator $B$ on a Hilbert space exhibits at least...

By Mark A. Iwen, Deanna Needell, Elizaveta Rebrova, and Ali Zare SIAM Journal on Matrix Analysis and Applications, Volume 42, Issue 1, Page 376-416, January 2021. In this paper new general modewise Johnson--Lindenstrauss (JL) subspace embeddings are proposed that can...

By Massimiliano Fasi and Nicholas J. Higham SIAM Journal on Matrix Analysis and Applications, Volume 42, Issue 1, Page 417-435, January 2021. We propose a two-parameter family of nonsymmetric dense $n\times n$ matrices $A(\alpha,\beta)$ for which...

By Keaton Hamm and Longxiu Huang SIAM Journal on Matrix Analysis and Applications, Volume 42, Issue 1, Page 351-375, January 2021. The CUR decomposition is a factorization of a low-rank matrix obtained by selecting certain...

By Michael S. Floater, Carla Manni, Espen Sande, and Hendrik Speleers SIAM Journal on Matrix Analysis and Applications, Volume 42, Issue 1, Page 330-350, January 2021. We relate the problem of best low-rank approximation in the spectral norm for a...

By Liqun Qi, Yannan Chen, Mayank Bakshi, and Xinzhen Zhang SIAM Journal on Matrix Analysis and Applications, Volume 42, Issue 1, Page 299-329, January 2021. Motivated by the Tucker decomposition, in this paper we introduce a new tensor decomposition...

By Éric Cancès, Gaspard Kemlin, and Antoine Levitt SIAM Journal on Matrix Analysis and Applications, Volume 42, Issue 1, Page 243-274, January 2021. This article is concerned with the numerical solution of subspace optimization problems, consisting of...

By Tianyi Shi and Alex Townsend SIAM Journal on Matrix Analysis and Applications, Volume 42, Issue 1, Page 275-298, January 2021. Tensors are often compressed by expressing them in data-sparse tensor formats, where storage costs...

By M. Christandl, F. Gesmundo, M. Michałek, and J. Zuiddam SIAM Journal on Matrix Analysis and Applications, Volume 42, Issue 2, Page 503-527, January 2021. Whereas matrix rank is additive under direct sum, in 1981 Schönhage showed that one...

By Tim Mitchell SIAM Journal on Matrix Analysis and Applications, Volume 42, Issue 2, Page 578-607, January 2021. We propose a new approach to computing global minimizers of singular value functions in...

By Antoni Musolas, Steven T. Smith, and Youssef Marzouk SIAM Journal on Matrix Analysis and Applications, Volume 42, Issue 2, Page 528-556, January 2021. Statistical modeling of spatiotemporal phenomena often requires selecting a covariance matrix from a covariance...

By Stefan Steinerberger SIAM Journal on Matrix Analysis and Applications, Volume 42, Issue 2, Page 608-615, January 2021. Randomized Kaczmarz is a simple iterative method for finding solutions of linear systems $Ax...

By Larry Allen and Robert C. Kirby SIAM Journal on Matrix Analysis and Applications, Volume 42, Issue 2, Page 557-577, January 2021. Bernstein polynomials, long a staple of approximation theory and computational geometry, have also increasingly...

By Ignat Domanov and Lieven De Lathauwer SIAM Journal on Matrix Analysis and Applications, Volume 42, Issue 2, Page 449-474, January 2021. Decompositions of higher-order tensors into sums of simple terms are ubiquitous. We show...

By L. Robert Hocking and Chen Greif SIAM Journal on Matrix Analysis and Applications, Volume 42, Issue 2, Page 475-502, January 2021. We derive optimal complex relaxation parameters minimizing smoothing factors associated with multigrid using...

By Jan Blechta SIAM Journal on Matrix Analysis and Applications, Volume 42, Issue 1, Page 436-447, January 2021. Suppose that a linear bounded operator $B$ on a Hilbert space exhibits at least...

By Mark A. Iwen, Deanna Needell, Elizaveta Rebrova, and Ali Zare SIAM Journal on Matrix Analysis and Applications, Volume 42, Issue 1, Page 376-416, January 2021. In this paper new general modewise Johnson--Lindenstrauss (JL) subspace embeddings are proposed that can...

By Massimiliano Fasi and Nicholas J. Higham SIAM Journal on Matrix Analysis and Applications, Volume 42, Issue 1, Page 417-435, January 2021. We propose a two-parameter family of nonsymmetric dense $n\times n$ matrices $A(\alpha,\beta)$ for which...

By Keaton Hamm and Longxiu Huang SIAM Journal on Matrix Analysis and Applications, Volume 42, Issue 1, Page 351-375, January 2021. The CUR decomposition is a factorization of a low-rank matrix obtained by selecting certain...

By Michael S. Floater, Carla Manni, Espen Sande, and Hendrik Speleers SIAM Journal on Matrix Analysis and Applications, Volume 42, Issue 1, Page 330-350, January 2021. We relate the problem of best low-rank approximation in the spectral norm for a...

By Liqun Qi, Yannan Chen, Mayank Bakshi, and Xinzhen Zhang SIAM Journal on Matrix Analysis and Applications, Volume 42, Issue 1, Page 299-329, January 2021. Motivated by the Tucker decomposition, in this paper we introduce a new tensor decomposition...

By Éric Cancès, Gaspard Kemlin, and Antoine Levitt SIAM Journal on Matrix Analysis and Applications, Volume 42, Issue 1, Page 243-274, January 2021. This article is concerned with the numerical solution of subspace optimization problems, consisting of...

By Tianyi Shi and Alex Townsend SIAM Journal on Matrix Analysis and Applications, Volume 42, Issue 1, Page 275-298, January 2021. Tensors are often compressed by expressing them in data-sparse tensor formats, where storage costs...

By Gregory Berkolaiko and Advait Parulekar SIAM Journal on Matrix Analysis and Applications, Volume 42, Issue 1, Page 224-242, January 2021. A simple iterative scheme is proposed for locating the parameter values for which a...

By Zvonimir Bujanovic and Daniel Kressner SIAM Journal on Matrix Analysis and Applications, Volume 42, Issue 1, Page 202-223, January 2021. A few matrix-vector multiplications with random vectors are often sufficient to obtain reasonably good...

By Lu Lu, Xuhui Meng, Zhiping Mao, and George Em Karniadakis SIAM Review, Volume 63, Issue 1, Page 208-228, January 2021. Deep learning has achieved remarkable success in diverse applications; however, its use in solving partial differential equations (PDEs) has...

By Nicholas A. Battista SIAM Review, Volume 63, Issue 1, Page 181-207, January 2021. While students may find spline interpolation quite digestible based on their familiarity with the continuity of a function and...

By Bengt Fornberg SIAM Review, Volume 63, Issue 1, Page 167-180, January 2021. The trapezoidal rule uses function values at equispaced nodes. It is very accurate for integrals over periodic intervals, but...

By Michelle Feng and Mason A. Porter SIAM Review, Volume 63, Issue 1, Page 67-99, January 2021. A crucial step in the analysis of persistent homology is the transformation of data into an appropriate topological object...

By Juan Kuntz, Philipp Thomas, Guy-Bart Stan, and Mauricio Barahona SIAM Review, Volume 63, Issue 1, Page 3-64, January 2021. Computing the stationary distributions of a continuous-time Markov chain (CTMC) involves solving a set of linear equations. In most...

By Nour Riman, Jonathan D. Victor, Sebastian D. Boie, and Bard Ermentrout SIAM Review, Volume 63, Issue 1, Page 100-120, January 2021. Animals use stereo sampling of odor concentration to localize sources and follow odor trails. We analyze the dynamics of...

By Xavier Allamigeon, Pascal Benchimol, Stéphane Gaubert, and Michael Joswig SIAM Review, Volume 63, Issue 1, Page 123-164, January 2021. Tropical geometry has been recently used to obtain new complexity results in convex optimization and game theory. In this...

By Misha E. Kilmer SIAM Review, Volume 63, Issue 1, Page 65-65, January 2021. We have two Research Spotlights papers in the lineup this issue. The first of these, “Persistent Homology of...

By Darinka Dentcheva SIAM Review, Volume 63, Issue 1, Page 165-166, January 2021. This issue of SIAM Review presents three papers in the Education section. The first paper, “Improving the Accuracy of...

By J. M. Sanz-Serna SIAM Review, Volume 63, Issue 1, Page 1-1, January 2021. The use of probabilistic ideas by applied mathematicians has seen a continued increase in recent decades. Probability now...

By The Editors SIAM Review, Volume 63, Issue 1, Page 121-121, January 2021. The SIGEST article in this issue is “What Tropical Geometry Tells Us about the Complexity of Linear Programming,” by...

By Volker H. Schulz SIAM Review, Volume 63, Issue 1, Page 231-245, January 2021. The section opens with a review well written by a giant in the field of numerical solution of partial...

By Chao Chen, Severin Reiz, Chenhan D. Yu, Hans-Joachim Bungartz, and George Biros SIAM Journal on Matrix Analysis and Applications, Volume 42, Issue 1, Page 165-184, January 2021. We introduce a fast algorithm for entrywise evaluation of the Gauss--Newton Hessian (GNH) matrix...

By Desmond J. Higham, Nicholas J. Higham, and Srikara Pranesh SIAM Journal on Matrix Analysis and Applications, Volume 42, Issue 1, Page 185-201, January 2021. We identify a class of random, dense, $n\times n$ matrices for which LU factorization...

By Robert Krone and Kaie Kubjas SIAM Journal on Matrix Analysis and Applications, Volume 42, Issue 1, Page 134-164, January 2021. Nonnegative matrix factorizations are often encountered in data mining applications where they are used...

By Petko H. Petkov SIAM Journal on Matrix Analysis and Applications, Volume 42, Issue 1, Page 108-133, January 2021. This paper presents a unified scheme for perturbation analysis of the Schur decomposition $A...

By Stefan Güttel and Marcel Schweitzer SIAM Journal on Matrix Analysis and Applications, Volume 42, Issue 1, Page 83-107, January 2021. Given a limited amount of memory and a target accuracy, we propose and compare...

By Guangjing Song, Weiyang Ding, and Michael K. Ng SIAM Journal on Matrix Analysis and Applications, Volume 42, Issue 1, Page 58-82, January 2021. Quaternion matrices are employed successfully in many color image processing applications. In particular, a...

By Simon Barthelmé and Konstantin Usevich SIAM Journal on Matrix Analysis and Applications, Volume 42, Issue 1, Page 17-57, January 2021. Kernel matrices are of central importance to many applied fields. In this manuscript, we...

By Volker Mehrmann and Paul Van Dooren SIAM Journal on Matrix Analysis and Applications, Volume 42, Issue 1, Page 1-16, January 2021. When computing the eigenstructure of matrix pencils associated with the passivity analysis of perturbed...

Congratulations to the following three members of the SIAM community who will receive awards at the virtual SIAM Conference on Applied Linear Algebra (LA21). Additional information about each ...

Mathematics and statistics play a vital part in everyday life. Mathematical and statistical techniques are used to help solve real-world problems, focusing on topics such as disease spread, ...

By Field Van Zee , Robert van de Geijn , Maggie Myers , Devangi Parikh , and Devin Matthews
The Basic Linear Algebra Subprograms (BLAS) have profoundly impacted scientific software ...

SIAM is excited to welcome you to the platform for our 2021 virtual conferences. Below is an overview of the features available; note that these will vary slightly depending on the specific ...

By Vrushali A. Bokil
The SIAM Conference on Computational Science and Engineering (CSE21) will take place virtually March 1 - 5, 2021 . For students, postdoctoral scholars, and other job ...

The Joint Mathematics Meetings (JMM) 2021 is happening virtually January 6–9, 2021. As a participant in JMM 2021, SIAM sponsors an invited speaker and several minisymposia. Below is a list of the ...

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 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.

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.

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.

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.

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.

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 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.

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.

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.

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.