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	40
Reorthogonalized Pythagorean Variants of Block Classical Gram–Schmidt	31
Generalized Perron Roots and Solvability of the Absolute Value Equation	24
Generalized Matrix Nearness Problems	22
Arbitrary Precision Algorithms for Computing the Matrix Cosine and its Fréchet Derivative	21
Diagonal Scalings for the Eigenstructure of Arbitrary Pencils	17
Contour Integration for Eigenvector Nonlinearities	17
Revisiting the Matrix Polynomial Greatest Common Divisor	16
Computing the Riemannian Logarithm on the Stiefel Manifold: Metrics, Methods, and Performance	15
Analysis of the Truncated Conjugate Gradient Method for Linear Matrix Equations	14
Efficient Vectors for Block Perturbed Consistent Matrices	13
Nesting Approximate Inverses for Improved Preconditioning and Algebraic Multigrid Smoothing	12
Global Convergence of Hessenberg Shifted QR III: Approximate Ritz Values via Shifted Inverse Iteration	11
Probabilistic Rounding Error Analysis of Householder QR Factorization	11
A Riemannian Optimization Method to Compute the Nearest Singular Pencil	11
A Newton Method for Solving Locally Definite Multiparameter Eigenvalue Problems by Multi-index	11
A Fast Iterative Algorithm for Near-Diagonal Eigenvalue Problems	10
$(L_r,L_r,1)$-Decompositions, Sparse Component Analysis, and the Blind Separation of Sums of Exponentials	10
A Bootstrap Multigrid Eigensolver	10
Singular Value Decomposition of Dual Matrices and its Application to Traveling Wave Identification in the Brain	10
New Convergence Analysis of GMRES with Weighted Norms, Preconditioning, and Deflation, Leading to a New Deflation Space	10
Sensitivity of Matrix Function Based Network Communicability Measures: Computational Methods and A Priori Bounds	10
Sharp Estimation of Convergence Rate for Self-Consistent Field Iteration to Solve Eigenvector-Dependent Nonlinear Eigenvalue Problems	10
Analyzing the Influence of Agents in Trust Networks: Applying Nonsmooth Eigensensitivity Theory to a Graph Centrality Problem	9
Extreme Ratio Between Spectral and Frobenius Norms of Nonnegative Tensors	9

Mixed Precision Recursive Block Diagonalization for Bivariate Functions of Matrices	9
Krylov-Aware Stochastic Trace Estimation	9
EPIC: A Provable Accelerated Eigensolver Based on Preconditioning and Implicit Convexity	8
Randomized Nyström Preconditioning	8
Efficient Scaling and Squaring Method for the Matrix Exponential	8
Refinement of Hottopixx Method for Nonnegative Matrix Factorization Under Noisy Separability	7
Matrix Pencils with Coefficients that have Positive Semidefinite Hermitian Parts	7
Multidimensional Total Least Squares Problem with Linear Equality Constraints	7
Solving Singular Generalized Eigenvalue Problems. Part II: Projection and Augmentation	7
Root-Max Problems, Hybrid Expansion-Contraction, and Quadratically Convergent Optimization of Passive Systems	7
A Sampling Algorithm to Compute the Set of Feasible Solutions for NonNegative Matrix Factorization with an Arbitrary Rank	7
High Curvature Means Low Rank: On the Sectional Curvature of Grassmann and Stiefel Manifolds and the Underlying Matrix Trace Inequalities	6
Five-Precision GMRES-Based Iterative Refinement	6
Decomposition of a Tensor into Multilinear Rank-\({(M_{{r}},N_{{r}},\cdot )}\) Terms	6
On the Condition Number of the Shifted Real Ginibre Ensemble	6
Analytical Singular Value Decomposition for a Class of Stoichiometry Matrices	6
Spectral Transformation for the Dense Symmetric Semidefinite Generalized Eigenvalue Problem	6
Deflation for the Off-Diagonal Block in Symmetric Saddle Point Systems	6
Surrogate-Based Autotuning for Randomized Sketching Algorithms in Regression Problems	6
Twice Is Enough for Dangerous Eigenvalues	5
Multichannel Frequency Estimation with Constant Amplitude via Convex Structured Low-Rank Approximation	5
Stochastic Rounding Implicitly Regularizes Tall-and-Thin Matrices	5
Block Preconditioners for the Marker-and-Cell Discretization of the Stokes–Darcy Equations	5
Higher-Order Self-Consistent Field: Efficient Decoupling Algorithms for Finding the Best Rank-One Approximation of Higher-Order Tensors	5
Measuring Segregation via Analysis on Graphs	5
Theoretical and Computable Optimal Subspace Expansions for Matrix Eigenvalue Problems	5
A Columnwise Update Algorithm for Sparse Stochastic Matrix Factorization	5
Approximate Generalized Inverses with Iterative Refinement for $\epsilon$-Accurate Preconditioning of Singular Systems	5
Sketching with Kerdock's Crayons: Fast Sparsifying Transforms for Arbitrary Linear Maps	5
Hierarchical Orthogonal Factorization: Sparse Square Matrices	5
On Semidefinite Programming Characterizations of the Numerical Radius and Its Dual Norm	5
Johnson–Lindenstrauss Embeddings with Kronecker Structure	5
A Block Householder–Based Algorithm for the QR Decomposition of Hierarchical Matrices	5
Avoiding Discretization Issues for Nonlinear Eigenvalue Problems	5
Parameterized Interpolation of Passive Systems	5
Entrywise Tensor-Train Approximation of Large Tensors via Random Embeddings	4
Backpropagation through Back Substitution with a Backslash	4
Analysis on Aggregation and Block Smoothers in Multigrid Methods for Block Toeplitz Linear Systems	4
Parametric Kernel Low-Rank Approximations Using Tensor Train Decomposition	4
Tree Quasi-separable Matrices: A Simultaneous Generalization of Sequentially and Hierarchically Semiseparable Representations	4
Multilevel Tau Preconditioners for Symmetrized Multilevel Toeplitz Systems with Applications to Solving Space Fractional Diffusion Equations	4
Multilinear Singular Value Decomposition–Based Completion with Fibers Observed in a Single Mode	4
Asymptotic Spectral Properties of the Hilbert \(L\) -Matrix	4
Krylov Subspace Approach to Core Problems within Multilinear Approximation Problems: A Unifying Framework	4
Linear Asymptotic Convergence of Anderson Acceleration: Fixed-Point Analysis	4
A Stable Matrix Version of the 2D Fast Multipole Method	4
On Best Low Rank Approximation of Positive Definite Tensors	3
Riemannian Preconditioned Coordinate Descent for Low Multilinear Rank Approximation	3
An Efficient Algorithm for Integer Lattice Reduction	3
A Measure Concentration Effect for Matrices of High, Higher, and Even Higher Dimension	3

Solving the Cubic Regularization Model by a Nested Restarting Lanczos Method	3
A Comparison of Mixed Precision Iterative Refinement Approaches for Least-Squares Problems	3
Posterior Covariance Structures in Gaussian Processes	3
Geometric Inexact Newton Method for Generalized Singular Values of Grassmann Matrix Pair	3
Improved Variants of the Hutch++ Algorithm for Trace Estimation	3
A Structure Preserving Shift-Invert Infinite Arnoldi Algorithm for a Class of Delay Eigenvalue Problems with Hamiltonian Symmetry	3
Reorthogonalized Block Classical Gram–Schmidt Using Two Cholesky-Based TSQR Algorithms	3
Randomized Block Adaptive Linear System Solvers	3
A Numerically Stable Communication-Avoiding \({s}\)-Step GMRES Algorithm	3
GMRES with Randomized Sketching and Deflated Restarting	3
Structure-Preserving Doubling Algorithms That Avoid Breakdowns for Algebraic Riccati-Type Matrix Equations	3
Stable and Efficient Computation of Generalized Polar Decompositions	3
A Theory of Quantum Subspace Diagonalization	3
Properties of the Solution Set of Absolute Value Equations and the Related Matrix Classes	3
Guarantees for Existence of a Best Canonical Polyadic Approximation of a Noisy Low-Rank Tensor	3
A Note on the Randomized Kaczmarz Algorithm for Solving Doubly Noisy Linear Systems	3
Global Convergence of Hessenberg Shifted QR II: Finite Arithmetic	3
Variational Characterization and Rayleigh Quotient Iteration of 2D Eigenvalue Problem with Applications	3
Probabilistic Rounding Error Analysis of Modified Gram–Schmidt	3
Assigning Stationary Distributions to Sparse Stochastic Matrices	3
Row or Column Completion of Polynomial Matrices of Given Degree	3
Cholesky-like Preconditioner for Hodge Laplacians via Heavy Collapsible Subcomplex	2
Block-Diagonalization of Quaternion Circulant Matrices with Applications	2
A New Interpretation of the Weighted Pseudoinverse and Its Applications	2
Sharp Majorization-Type Cluster Robust Bounds for Block Filters and Eigensolvers	2
Structure Preserving Quaternion Biconjugate Gradient Method	2
One-Dimensional Tensor Network Recovery	2
Spurious Valleys, NP-Hardness, and Tractability of Sparse Matrix Factorization with Fixed Support	2
Block \(\boldsymbol{\omega }\)-Circulant Preconditioners for Parabolic Optimal Control Problems	2
The Rank-1 Completion Problem for Cubic Tensors	2
Input-Tailored System-Theoretic Model Order Reduction for Quadratic-Bilinear Systems	2
Partial Identifiability for Nonnegative Matrix Factorization	2
Large-Scale Minimization of the Pseudospectral Abscissa	2
Spectrum Consistent Coarsening Approximates Edge Weights	2
On Adaptive Stochastic Heavy Ball Momentum for Solving Linear Systems	2
Exactly Solving Sparse Rational Linear Systems via Roundoff-Error-Free Cholesky Factorizations	2
Singularly Perturbed Markov Modulated Fluid Queues	2
Fast Approximation of the $p$-Radius, Matrix Pressure, or Generalized Lyapunov Exponent for Positive and Dominated Matrices	2
Generalized Orthogonal Procrustes Problem under Arbitrary Adversaries	2
Adaptive Rational Krylov Methods for Exponential Runge–Kutta Integrators	2
Higher-Order QR with Tournament Pivoting for Tensor Compression	2
A Fast Algorithm for Computing Macaulay Null Spaces of Bivariate Polynomial Systems	2
On Compatible Transfer Operators in Nonsymmetric Algebraic Multigrid	2
A Block Minimum Residual Norm Subspace Solver with Partial Convergence Management for Sequences of Linear Systems	2
Maximal Rank of ${m}\times{n}\times 2$ Tensors over Arbitrary Fields	2
Primitivity and Hurwitz Primitivity of Nonnegative Matrix Tuples: A Unified Approach	2
Variational Characterization of Monotone Nonlinear Eigenvector Problems and Geometry of Self-Consistent Field Iteration	2
Verified Error Bounds for Matrix Decompositions	2
Unimodular Completions and Orthogonal Complements of Matrices over Univariate Ore Extensions	2
Finding the Least Element of a Nonnegative Solution Set of a Class of Polynomial Inequalities	2
Smoothing Analysis of Two Robust Multigrid Methods for Elliptic Optimal Control Problems	2
A New Lower Bound on the Size of the Smallest Vertex Separator of a Graph	2
Robust Recovery of Low-Rank Matrices and Low-Tubal-Rank Tensors from Noisy Sketches	2
On Pairs of Spectrum Maximizing Products with Distinct Factor Multiplicities	2
Spectral Analysis of Preconditioned Matrices Arising from Stage-Parallel Implicit Runge–Kutta Methods of Arbitrarily High Order	2
Computing the Square Root of a Low-Rank Perturbation of the Scaled Identity Matrix	2
Weighted Enumeration of Nonbacktracking Walks on Weighted Graphs	2
Simultaneous Diagonalization via Congruence of Hermitian Matrices: Some Equivalent Conditions and a Numerical Solution	2
Nearly Optimal Block-Jacobi Preconditioning	2
Interior Eigensolver Based on Rational Filter with Composite Rule	2
Random Walks, Conductance, and Resistance for the Connection Graph Laplacian	2
PinT Preconditioner for Forward-Backward Evolutionary Equations	2
A Recursive Eigenspace Computation for the Canonical Polyadic Decomposition	2
Eigenstructure Perturbations for a Class of Hamiltonian Matrices and Solutions of Related Riccati Inequalities	2
A Complex-Projected Rayleigh Quotient Iteration for Targeting Interior Eigenvalues	2
An Apocalypse-Free First-Order Low-Rank Optimization Algorithm with at Most One Rank Reduction Attempt per Iteration	2
On Spectral and Nuclear Norms of Order Three Tensors with One Fixed Dimension	1
Matrix-Analytic Methods for Solving Poisson’s Equation with Applications to Markov Chains of GI/G/1-Type	1
Constraint-Satisfying Krylov Solvers for Structure-Preserving Discretizations	1
Divide-and-Conquer Methods for Functions of Matrices with Banded or Hierarchical Low-Rank Structure	1
Infinite GMRES for Parameterized Linear Systems	1
Sparse Factorization of the Square All-Ones Matrix of Arbitrary Order	1
Dominant Z-Eigenpairs of Tensor Kronecker Products Decouple	1
Factorization of Singular Matrix Polynomials and Matrices with Circular Higher Rank Numerical Ranges	1
Speeding Up Krylov Subspace Methods for Computing \(\boldsymbol{{f}(A){b}}\) via Randomization	1
Error Bounds for Lanczos-Based Matrix Function Approximation	1
Takagi Factorization of Matrices Depending on Parameters and Locating Degeneracies of Singular Values	1
Structured Matrix Approximations via Tensor Decompositions	1
Are Sketch-and-Precondition Least Squares Solvers Numerically Stable?	1
Projectively and Weakly Simultaneously Diagonalizable Matrices and their Applications	1

Perturbation and Inverse Problems of Stochastic Matrices	1
The Ultimate Upper Bound on the Injectivity Radius of the Stiefel Manifold	1
Verified Error Bounds for All Eigenvalues and Eigenvectors of a Matrix	1
A Higher-Order Generalized Singular Value Decomposition for Rank-Deficient Matrices	1
Multivariate Trace Estimation Using Quantum State Space Linear Algebra	1
GPMR: An Iterative Method for Unsymmetric Partitioned Linear Systems	1
Balance with Memory in Signed Networks via Mittag-Leffler Matrix Functions	1
Krylov Subspace Recycling with Randomized Sketching for Matrix Functions	1
An Escape Time Formulation for Subgraph Detection and Partitioning of Directed Graphs	1
A Class of Sparse Johnson–Lindenstrauss Transforms and Analysis of their Extreme Singular Values	1
Communication Lower Bounds and Optimal Algorithms for Multiple Tensor-Times-Matrix Computation	1
XTrace: Making the Most of Every Sample in Stochastic Trace Estimation	1
A Geometric Approach to Approximating the Limit Set of Eigenvalues for Banded Toeplitz Matrices	1
An Edge Centrality Measure Based on the Kemeny Constant	1
Matrix Completion and Decomposition in Phase-Bounded Cones	1
Some New Results on the Maximum Growth Factor in Gaussian Elimination	1
Convergence of Gradient-Based Block Coordinate Descent Algorithms for Nonorthogonal Joint Approximate Diagonalization of Matrices	1
Linear Discriminant Analysis with the Randomized Kaczmarz Method	1
Scalable Symmetric Tucker Tensor Decomposition	1
A Boundary-Layer Preconditioner for Singularly Perturbed Convection Diffusion	1
The Interplay between Two Kinds of Hermitian Determinantal Representations	1
Semi-Infinite Linear Regression and Its Applications	1
Randomized Low-Rank Runge–Kutta Methods	1
Theoretically and Computationally Convenient Geometries on Full-Rank Correlation Matrices	1
Robust Eigenvectors of Symmetric Tensors	1
Partial Degeneration of Tensors	1
Coseparable Nonnegative Matrix Factorization	1
Coseparable Nonnegative Tensor Factorization with t-CUR Decomposition	1
Uniformization Stable Markov Models and Their Jordan Algebraic Structure	1
An Augmented Matrix-Based CJ-FEAST SVDsolver for Computing a Partial Singular Value Decomposition with the Singular Values in a Given Interval	1
Euclidean Representation of Low-Rank Matrices and Its Geometric Properties	1
More on Tensors with Different Rank and Symmetric Rank	1
Efficient Preconditioners for Interior Point Methods via a New Schur Complement-Based Strategy	1
Semidefinite Relaxation Methods for Tensor Absolute Value Equations	1
On the Weak Infinite Zero Structures and Relative Degrees for Linear Time-Delay Systems	1
Permutation-Invariant Log-Euclidean Geometries on Full-Rank Correlation Matrices	1
Solving the Parametric Eigenvalue Problem by Taylor Series and Chebyshev Expansion	1
On Substochastic Inverse Eigenvalue Problems with the Corresponding Eigenvector Constraints	1
Convergence to Singular Triplets in the Two-Sided Block-Jacobi SVD Algorithm with Dynamic Ordering	1
On Characteristic Invariants of Matrix Pencils and Linear Relations	1
Self-Dual Polyhedral Cones and Their Slack Matrices	1
Lipschitz Analysis of Generalized Phase Retrievable Matrix Frames	1
New Riemannian Preconditioned Algorithms for Tensor Completion via Polyadic Decomposition	1
A Predictor-Corrector Strategy for Adaptivity in Dynamical Low-Rank Approximations	1
Perturbation Theory of Transfer Function Matrices	1
Monte Carlo Methods for Estimating the Diagonal of a Real Symmetric Matrix	1
CholeskyQR with Randomization and Pivoting for Tall Matrices (CQRRPT)	1
Stochastic Algebraic Riccati Equations Are Almost as Easy as Deterministic Ones Theoretically	1
Low-Rank Plus Diagonal Approximations for Riccati-Like Matrix Differential Equations	1
Bures–Wasserstein Minimizing Geodesics between Covariance Matrices of Different Ranks	1