SIAM Journal on Matrix Analysis and Applications

Article	Citations
An Analysis of the Rayleigh–Ritz and Refined Rayleigh–Ritz Methods for Regular Nonlinear Eigenvalue Problems	57
Adaptive Randomized Pivoting for Column Subset Selection, DEIM, and Low-Rank Approximation	54
Generalized Perron Roots and Solvability of the Absolute Value Equation	49
Generalized Matrix Nearness Problems	32
Reorthogonalized Pythagorean Variants of Block Classical Gram–Schmidt	28
Contour Integration for Eigenvector Nonlinearities	24
Revisiting the Matrix Polynomial Greatest Common Divisor	21
Diagonal Scalings for the Eigenstructure of Arbitrary Pencils	21
Unified SMW-Like Identities of Low-Rank Updates for Generalized Inverses and Pseudoinverses	20
Analysis of the Truncated Conjugate Gradient Method for Linear Matrix Equations	19
Commutator Calculus and Symbolic Differentiation of Matrix Functions	19
Perfect State Transfer Between Real Pure States	18
Multilinear Analysis of Quaternion Arrays: Theory and Computation	17
Computing Asymptotic Eigenvectors and Eigenvalues of Perturbed Symmetric Matrices	16
Computing the Riemannian Logarithm on the Stiefel Manifold: Metrics, Methods, and Performance	16
Efficient Vectors for Block Perturbed Consistent Matrices	15
A Fast Iterative Algorithm for Near-Diagonal Eigenvalue Problems	15
$(L_r,L_r,1)$-Decompositions, Sparse Component Analysis, and the Blind Separation of Sums of Exponentials	14
A Bootstrap Multigrid Eigensolver	14
Probabilistic Rounding Error Analysis of Householder QR Factorization	13
Global Convergence of Hessenberg Shifted QR III: Approximate Ritz Values via Shifted Inverse Iteration	13
Nesting Approximate Inverses for Improved Preconditioning and Algebraic Multigrid Smoothing	13
Sensitivity of Matrix Function Based Network Communicability Measures: Computational Methods and A Priori Bounds	13
New Convergence Analysis of GMRES with Weighted Norms, Preconditioning, and Deflation, Leading to a New Deflation Space	13
A Newton Method for Solving Locally Definite Multiparameter Eigenvalue Problems by Multi-index	13

A Riemannian Optimization Method to Compute the Nearest Singular Pencil	11
Randomized Nyström Preconditioning	11
Singular Value Decomposition of Dual Matrices and its Application to Traveling Wave Identification in the Brain	11
Extreme Ratio Between Spectral and Frobenius Norms of Nonnegative Tensors	11
Refinement of Hottopixx Method for Nonnegative Matrix Factorization Under Noisy Separability	10
Solving Singular Generalized Eigenvalue Problems. Part II: Projection and Augmentation	10
Root-Max Problems, Hybrid Expansion-Contraction, and Quadratically Convergent Optimization of Passive Systems	10
Krylov-Aware Stochastic Trace Estimation	10
Analyzing the Influence of Agents in Trust Networks: Applying Nonsmooth Eigensensitivity Theory to a Graph Centrality Problem	10
Matrix Pencils with Coefficients that have Positive Semidefinite Hermitian Parts	9
Preconditioning Low Rank Generalized Minimal Residual Method (GMRES) for Implicit Discretizations of Matrix Differential Equations	9
Efficient Scaling and Squaring Method for the Matrix Exponential	9
Decomposition of a Tensor into Multilinear Rank-\({(M_{{r}},N_{{r}},\cdot )}\) Terms	9
Surrogate-Based Autotuning for Randomized Sketching Algorithms in Regression Problems	8
Analytical Singular Value Decomposition for a Class of Stoichiometry Matrices	8
Spectral Transformation for the Dense Symmetric Semidefinite Generalized Eigenvalue Problem	8
EPIC: A Provable Accelerated Eigensolver Based on Preconditioning and Implicit Convexity	8
On Semidefinite Programming Characterizations of the Numerical Radius and Its Dual Norm	8
Multichannel Frequency Estimation with Constant Amplitude via Convex Structured Low-Rank Approximation	7
High Curvature Means Low Rank: On the Sectional Curvature of Grassmann and Stiefel Manifolds and the Underlying Matrix Trace Inequalities	7
A Columnwise Update Algorithm for Sparse Stochastic Matrix Factorization	7
Block Preconditioners for the Marker-and-Cell Discretization of the Stokes–Darcy Equations	7
Deflation for the Off-Diagonal Block in Symmetric Saddle Point Systems	7
On the Condition Number of the Shifted Real Ginibre Ensemble	7
Stochastic Rounding Implicitly Regularizes Tall-and-Thin Matrices	7
A Block Householder–Based Algorithm for the QR Decomposition of Hierarchical Matrices	7
Hutchinson’s Estimator is Bad at Kronecker-Trace-Estimation	7
Five-Precision GMRES-Based Iterative Refinement	7
Johnson–Lindenstrauss Embeddings with Kronecker Structure	7
Multilevel Tau Preconditioners for Symmetrized Multilevel Toeplitz Systems with Applications to Solving Space Fractional Diffusion Equations	6
Measuring Segregation via Analysis on Graphs	6
Sketching with Kerdock's Crayons: Fast Sparsifying Transforms for Arbitrary Linear Maps	6
Optimal Backward Error of a Total Least Squares and Its Randomized Algorithms	6
Tree Quasi-separable Matrices: A Simultaneous Generalization of Sequentially and Hierarchically Semiseparable Representations	6
Multilinear Singular Value Decomposition–Based Completion with Fibers Observed in a Single Mode	6
A Stable Matrix Version of the 2D Fast Multipole Method	6
Higher-Order Self-Consistent Field: Efficient Decoupling Algorithms for Finding the Best Rank-One Approximation of Higher-Order Tensors	6
Linear Asymptotic Convergence of Anderson Acceleration: Fixed-Point Analysis	6
Fitting Multilevel Factor Models	6
Analysis on Aggregation and Block Smoothers in Multigrid Methods for Block Toeplitz Linear Systems	6
Asymptotic Spectral Properties of the Hilbert \(L\) -Matrix	6
Krylov Subspace Approach to Core Problems within Multilinear Approximation Problems: A Unifying Framework	6
On the Backward Stability of S-Step GMRES	6
Entrywise Tensor-Train Approximation of Large Tensors via Random Embeddings	6
Parameterized Interpolation of Passive Systems	6
Avoiding Discretization Issues for Nonlinear Eigenvalue Problems	6
Backpropagation through Back Substitution with a Backslash	6
A Comparison of Mixed Precision Iterative Refinement Approaches for Least-Squares Problems	5
Parametric Kernel Low-Rank Approximations Using Tensor Train Decomposition	5
Erratum for “Eigenstructure Perturbations for a Class of Hamiltonian Matrices and Solutions of Related Riccati Inequalities”	5

Solving the Cubic Regularization Model by a Nested Restarting Lanczos Method	5
Variational Characterization and Rayleigh Quotient Iteration of 2D Eigenvalue Problem with Applications	5
Efficient CP Rounding Using Alternating Least Squares with QR Decomposition	5
A Numerically Stable Communication-Avoiding \({s}\)-Step GMRES Algorithm	5
Structure-Preserving Doubling Algorithms That Avoid Breakdowns for Algebraic Riccati-Type Matrix Equations	5
Algebraic Bounds for the Independence and Chromatic Number of Graph Powers	5
Assigning Stationary Distributions to Sparse Stochastic Matrices	5
Randomized Block Adaptive Linear System Solvers	5
An Efficient Algorithm for Integer Lattice Reduction	5
Convergence Properties of Nonlinear GMRES Applied to Linear Systems	5
A Theory of Quantum Subspace Diagonalization	5
GMRES with Randomized Sketching and Deflated Restarting	4
Global Convergence of Hessenberg Shifted QR II: Finite Arithmetic	4
Row or Column Completion of Polynomial Matrices of Given Degree	4
Riemannian Preconditioned Coordinate Descent for Low Multilinear Rank Approximation	4
Reorthogonalized Block Classical Gram–Schmidt Using Two Cholesky-Based TSQR Algorithms	4
Decomposing Tensors via Rank-One Approximations	4
Properties of the Solution Set of Absolute Value Equations and the Related Matrix Classes	4
Stable and Efficient Computation of Generalized Polar Decompositions	4
Probabilistic Rounding Error Analysis of Modified Gram–Schmidt	4
Optimal Matrix-Mimetic Tensor Algebras via Variable Projection	4
On the Robustness of the Successive Projection Algorithm	4
On Best Low Rank Approximation of Positive Definite Tensors	4
Improved Variants of the Hutch++ Algorithm for Trace Estimation	4
A Note on the Randomized Kaczmarz Algorithm for Solving Doubly Noisy Linear Systems	4
Posterior Covariance Structures in Gaussian Processes	4
On Adaptive Stochastic Heavy Ball Momentum for Solving Linear Systems	4
A Structure Preserving Shift-Invert Infinite Arnoldi Algorithm for a Class of Delay Eigenvalue Problems with Hamiltonian Symmetry	4
Higher-Order QR with Tournament Pivoting for Tensor Compression	3
Maximal Rank of ${m}\times{n}\times 2$ Tensors over Arbitrary Fields	3
Variational Characterization of Monotone Nonlinear Eigenvector Problems and Geometry of Self-Consistent Field Iteration	3
Block \(\boldsymbol{\omega }\)-Circulant Preconditioners for Parabolic Optimal Control Problems	3
Simultaneous Diagonalization via Congruence of Hermitian Matrices: Some Equivalent Conditions and a Numerical Solution	3
Sharp Majorization-Type Cluster Robust Bounds for Block Filters and Eigensolvers	3
A Block Minimum Residual Norm Subspace Solver with Partial Convergence Management for Sequences of Linear Systems	3
PinT Preconditioner for Forward-Backward Evolutionary Equations	3
Large-Scale Minimization of the Pseudospectral Abscissa	3
Spectrum Consistent Coarsening Approximates Edge Weights	3
Adaptive Rational Krylov Methods for Exponential Runge–Kutta Integrators	3
A Fast Algorithm for Computing Macaulay Null Spaces of Bivariate Polynomial Systems	3
Robustness of Frames and Totally Nonsingular Matrices	3
On Compatible Transfer Operators in Nonsymmetric Algebraic Multigrid	3
Near Instance Optimality of the Lanczos Method for Stieltjes and Related Matrix Functions	3
Random Walks, Conductance, and Resistance for the Connection Graph Laplacian	3
Interior Eigensolver Based on Rational Filter with Composite Rule	3
Cholesky-like Preconditioner for Hodge Laplacians via Heavy Collapsible Subcomplex	3
One-Dimensional Tensor Network Recovery	3
The Rank-1 Completion Problem for Cubic Tensors	3
An Apocalypse-Free First-Order Low-Rank Optimization Algorithm with at Most One Rank Reduction Attempt per Iteration	3
Regenerative Ulam–von Neumann Algorithm: An Innovative Markov Chain Monte Carlo Method for Matrix Inversion	3
Unimodular Completions and Orthogonal Complements of Matrices over Univariate Ore Extensions	3
Eigenstructure Perturbations for a Class of Hamiltonian Matrices and Solutions of Related Riccati Inequalities	3
Finding the Least Element of a Nonnegative Solution Set of a Class of Polynomial Inequalities	3
A Subspace-Conjugate Gradient Method for Linear Matrix Equations	3
Smoothing Analysis of Two Robust Multigrid Methods for Elliptic Optimal Control Problems	3
Nearly Optimal Block-Jacobi Preconditioning	3
Computing the Square Root of a Low-Rank Perturbation of the Scaled Identity Matrix	3
Partial Identifiability for Nonnegative Matrix Factorization	3
On Pairs of Spectrum Maximizing Products with Distinct Factor Multiplicities	3
Robust Recovery of Low-Rank Matrices and Low-Tubal-Rank Tensors from Noisy Sketches	3
Parallel Transport on Matrix Manifolds and Exponential Action	3
Primitivity and Hurwitz Primitivity of Nonnegative Matrix Tuples: A Unified Approach	3
Verified Error Bounds for Matrix Decompositions	3
A Complex-Projected Rayleigh Quotient Iteration for Targeting Interior Eigenvalues	3
Computing Accurate Eigenvalues using a Mixed-Precision Jacobi Algorithm	3
Spurious Valleys, NP-Hardness, and Tractability of Sparse Matrix Factorization with Fixed Support	3
A Predictor-Corrector Strategy for Adaptivity in Dynamical Low-Rank Approximations	2
Projectively and Weakly Simultaneously Diagonalizable Matrices and their Applications	2
Weighted Enumeration of Nonbacktracking Walks on Weighted Graphs	2
Stochastic Algebraic Riccati Equations Are Almost as Easy as Deterministic Ones Theoretically	2
Spectral Analysis of Preconditioned Matrices Arising from Stage-Parallel Implicit Runge–Kutta Methods of Arbitrarily High Order	2
More on Tensors with Different Rank and Symmetric Rank	2
Lipschitz Analysis of Generalized Phase Retrievable Matrix Frames	2
A Class of Sparse Johnson–Lindenstrauss Transforms and Analysis of their Extreme Singular Values	2
On Characteristic Invariants of Matrix Pencils and Linear Relations	2
Matrix Completion and Decomposition in Phase-Bounded Cones	2
Uniformization Stable Markov Models and Their Jordan Algebraic Structure	2
Speeding Up Krylov Subspace Methods for Computing \(\boldsymbol{{f}(A){b}}\) via Randomization	2
Coseparable Nonnegative Matrix Factorization	2
Bures–Wasserstein Minimizing Geodesics between Covariance Matrices of Different Ranks	2

An Escape Time Formulation for Subgraph Detection and Partitioning of Directed Graphs	2
Matrix Perturbation Analysis of Methods for Extracting Singular Values from Approximate Singular Subspaces	2
A Higher-Order Generalized Singular Value Decomposition for Rank-Deficient Matrices	2
GPMR: An Iterative Method for Unsymmetric Partitioned Linear Systems	2
A Geometric Approach to Approximating the Limit Set of Eigenvalues for Banded Toeplitz Matrices	2
A New Interpretation of the Weighted Pseudoinverse and Its Applications	2
Efficient Preconditioners for Interior Point Methods via a New Schur Complement-Based Strategy	2
Generalized Orthogonal Procrustes Problem under Arbitrary Adversaries	2
Solving the Parametric Eigenvalue Problem by Taylor Series and Chebyshev Expansion	2
Permutation-Invariant Log-Euclidean Geometries on Full-Rank Correlation Matrices	2
On the Weak Infinite Zero Structures and Relative Degrees for Linear Time-Delay Systems	2
Infinite GMRES for Parameterized Linear Systems	2
Mixed Precision Sketching for Least-Squares Problems and its Application in GMRES-Based Iterative Refinement	2
Coseparable Nonnegative Tensor Factorization with t-CUR Decomposition	2
Factorization of Singular Matrix Polynomials and Matrices with Circular Higher Rank Numerical Ranges	2
Block-Diagonalization of Quaternion Circulant Matrices with Applications	2
Balance with Memory in Signed Networks via Mittag-Leffler Matrix Functions	2
Monte Carlo Methods for Estimating the Diagonal of a Real Symmetric Matrix	2
Constraint-Satisfying Krylov Solvers for Structure-Preserving Discretizations	2
Structured Matrix Approximations via Tensor Decompositions	2
Solving Singular Generalized Eigenvalue Problems. Part III: Structure Preservation	2
Convergence of Gradient-Based Block Coordinate Descent Algorithms for Nonorthogonal Joint Approximate Diagonalization of Matrices	2
The Ultimate Upper Bound on the Injectivity Radius of the Stiefel Manifold	2
Estimating the Matrix p \(\boldsymbol{ \rightarrow }\) q Norm	2
XTrace: Making the Most of Every Sample in Stochastic Trace Estimation	2
Structure Preserving Quaternion Biconjugate Gradient Method	2
Matrix-Analytic Methods for Solving Poisson’s Equation with Applications to Markov Chains of GI/G/1-Type	2
Partial Degeneration of Tensors	2
Krylov Subspace Recycling with Randomized Sketching for Matrix Functions	2
On Spectral and Nuclear Norms of Order Three Tensors with One Fixed Dimension	2
An Augmented Matrix-Based CJ-FEAST SVDsolver for Computing a Partial Singular Value Decomposition with the Singular Values in a Given Interval	2
Marginal-Constrained Modified Wasserstein Barycenters for Gaussian Distributions and Gaussian Mixtures	2
Dominant Z-Eigenpairs of Tensor Kronecker Products Decouple	2
Low-Rank Plus Diagonal Approximations for Riccati-Like Matrix Differential Equations	2
Randomized Low-Rank Runge–Kutta Methods	2
Theoretically and Computationally Convenient Geometries on Full-Rank Correlation Matrices	2