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 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 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 Per-Gunnar Martinsson
The management and analysis of large complex datasets give rise to mathematical and algorithmic challenges that have intrigued applied mathematicians in recent years. ...

Congratulations to these four SIAM members who were recently awarded the SIAM Activity Group on Life Sciences Early Career Prize, SIAM Activity Group on Linear Algebra Best Paper Prize, SIAM ...

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 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, 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 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.

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 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.

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 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.

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 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 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.