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	43
Generalized Perron Roots and Solvability of the Absolute Value Equation	39
Reorthogonalized Pythagorean Variants of Block Classical Gram–Schmidt	32
Efficient Vectors for Block Perturbed Consistent Matrices	26
Perfect State Transfer Between Real Pure States	24
Revisiting the Matrix Polynomial Greatest Common Divisor	23
Diagonal Scalings for the Eigenstructure of Arbitrary Pencils	19
Contour Integration for Eigenvector Nonlinearities	18
Unified SMW-Like Identities of Low-Rank Updates for Generalized Inverses and Pseudoinverses	16
Analysis of the Truncated Conjugate Gradient Method for Linear Matrix Equations	15
Computing the Riemannian Logarithm on the Stiefel Manifold: Metrics, Methods, and Performance	15
Generalized Matrix Nearness Problems	14
A Fast Iterative Algorithm for Near-Diagonal Eigenvalue Problems	14
Arbitrary Precision Algorithms for Computing the Matrix Cosine and its Fréchet Derivative	14
$(L_r,L_r,1)$-Decompositions, Sparse Component Analysis, and the Blind Separation of Sums of Exponentials	13
A Bootstrap Multigrid Eigensolver	13
Sharp Estimation of Convergence Rate for Self-Consistent Field Iteration to Solve Eigenvector-Dependent Nonlinear Eigenvalue Problems	12
Global Convergence of Hessenberg Shifted QR III: Approximate Ritz Values via Shifted Inverse Iteration	12
New Convergence Analysis of GMRES with Weighted Norms, Preconditioning, and Deflation, Leading to a New Deflation Space	12
Nesting Approximate Inverses for Improved Preconditioning and Algebraic Multigrid Smoothing	12
Singular Value Decomposition of Dual Matrices and its Application to Traveling Wave Identification in the Brain	11
A Riemannian Optimization Method to Compute the Nearest Singular Pencil	11
Probabilistic Rounding Error Analysis of Householder QR Factorization	11
A Newton Method for Solving Locally Definite Multiparameter Eigenvalue Problems by Multi-index	11
Sensitivity of Matrix Function Based Network Communicability Measures: Computational Methods and A Priori Bounds	10

Krylov-Aware Stochastic Trace Estimation	10
Extreme Ratio Between Spectral and Frobenius Norms of Nonnegative Tensors	10
Mixed Precision Recursive Block Diagonalization for Bivariate Functions of Matrices	9
Decomposition of a Tensor into Multilinear Rank-\({(M_{{r}},N_{{r}},\cdot )}\) Terms	9
Multidimensional Total Least Squares Problem with Linear Equality Constraints	8
Solving Singular Generalized Eigenvalue Problems. Part II: Projection and Augmentation	8
Refinement of Hottopixx Method for Nonnegative Matrix Factorization Under Noisy Separability	8
EPIC: A Provable Accelerated Eigensolver Based on Preconditioning and Implicit Convexity	8
A Sampling Algorithm to Compute the Set of Feasible Solutions for NonNegative Matrix Factorization with an Arbitrary Rank	8
Matrix Pencils with Coefficients that have Positive Semidefinite Hermitian Parts	8
Randomized Nyström Preconditioning	8
Analytical Singular Value Decomposition for a Class of Stoichiometry Matrices	7
Spectral Transformation for the Dense Symmetric Semidefinite Generalized Eigenvalue Problem	7
Analyzing the Influence of Agents in Trust Networks: Applying Nonsmooth Eigensensitivity Theory to a Graph Centrality Problem	7
On the Condition Number of the Shifted Real Ginibre Ensemble	7
Multichannel Frequency Estimation with Constant Amplitude via Convex Structured Low-Rank Approximation	7
Efficient Scaling and Squaring Method for the Matrix Exponential	7
Deflation for the Off-Diagonal Block in Symmetric Saddle Point Systems	7
Five-Precision GMRES-Based Iterative Refinement	7
High Curvature Means Low Rank: On the Sectional Curvature of Grassmann and Stiefel Manifolds and the Underlying Matrix Trace Inequalities	7
Root-Max Problems, Hybrid Expansion-Contraction, and Quadratically Convergent Optimization of Passive Systems	7
On Semidefinite Programming Characterizations of the Numerical Radius and Its Dual Norm	7
Surrogate-Based Autotuning for Randomized Sketching Algorithms in Regression Problems	7
Theoretical and Computable Optimal Subspace Expansions for Matrix Eigenvalue Problems	7
Johnson–Lindenstrauss Embeddings with Kronecker Structure	6
Stochastic Rounding Implicitly Regularizes Tall-and-Thin Matrices	6
Approximate Generalized Inverses with Iterative Refinement for $\epsilon$-Accurate Preconditioning of Singular Systems	6
A Columnwise Update Algorithm for Sparse Stochastic Matrix Factorization	6
Block Preconditioners for the Marker-and-Cell Discretization of the Stokes–Darcy Equations	6
Twice Is Enough for Dangerous Eigenvalues	6
A Block Householder–Based Algorithm for the QR Decomposition of Hierarchical Matrices	6
Avoiding Discretization Issues for Nonlinear Eigenvalue Problems	5
Parameterized Interpolation of Passive Systems	5
Optimal Backward Error of a Total Least Squares and Its Randomized Algorithms	5
Fitting Multilevel Factor Models	5
Entrywise Tensor-Train Approximation of Large Tensors via Random Embeddings	5
On the Backward Stability of S-Step GMRES	5
Hierarchical Orthogonal Factorization: Sparse Square Matrices	5
Sketching with Kerdock's Crayons: Fast Sparsifying Transforms for Arbitrary Linear Maps	5
Krylov Subspace Approach to Core Problems within Multilinear Approximation Problems: A Unifying Framework	5
Measuring Segregation via Analysis on Graphs	5
Higher-Order Self-Consistent Field: Efficient Decoupling Algorithms for Finding the Best Rank-One Approximation of Higher-Order Tensors	5
Linear Asymptotic Convergence of Anderson Acceleration: Fixed-Point Analysis	5
Tree Quasi-separable Matrices: A Simultaneous Generalization of Sequentially and Hierarchically Semiseparable Representations	5
Analysis on Aggregation and Block Smoothers in Multigrid Methods for Block Toeplitz Linear Systems	4
A Stable Matrix Version of the 2D Fast Multipole Method	4
Parametric Kernel Low-Rank Approximations Using Tensor Train Decomposition	4
Solving the Cubic Regularization Model by a Nested Restarting Lanczos Method	4
Variational Characterization and Rayleigh Quotient Iteration of 2D Eigenvalue Problem with Applications	4
Asymptotic Spectral Properties of the Hilbert \(L\) -Matrix	4

Randomized Block Adaptive Linear System Solvers	4
Multilevel Tau Preconditioners for Symmetrized Multilevel Toeplitz Systems with Applications to Solving Space Fractional Diffusion Equations	4
A Theory of Quantum Subspace Diagonalization	4
Erratum for “Eigenstructure Perturbations for a Class of Hamiltonian Matrices and Solutions of Related Riccati Inequalities”	4
Multilinear Singular Value Decomposition–Based Completion with Fibers Observed in a Single Mode	4
Backpropagation through Back Substitution with a Backslash	4
Geometric Inexact Newton Method for Generalized Singular Values of Grassmann Matrix Pair	4
An Efficient Algorithm for Integer Lattice Reduction	4
A Comparison of Mixed Precision Iterative Refinement Approaches for Least-Squares Problems	4
A Numerically Stable Communication-Avoiding \({s}\)-Step GMRES Algorithm	4
Eigenstructure Perturbations for a Class of Hamiltonian Matrices and Solutions of Related Riccati Inequalities	3
On Adaptive Stochastic Heavy Ball Momentum for Solving Linear Systems	3
Stable and Efficient Computation of Generalized Polar Decompositions	3
Properties of the Solution Set of Absolute Value Equations and the Related Matrix Classes	3
Probabilistic Rounding Error Analysis of Modified Gram–Schmidt	3
Posterior Covariance Structures in Gaussian Processes	3
Assigning Stationary Distributions to Sparse Stochastic Matrices	3
Optimal Matrix-Mimetic Tensor Algebras via Variable Projection	3
One-Dimensional Tensor Network Recovery	3
A Structure Preserving Shift-Invert Infinite Arnoldi Algorithm for a Class of Delay Eigenvalue Problems with Hamiltonian Symmetry	3
Primitivity and Hurwitz Primitivity of Nonnegative Matrix Tuples: A Unified Approach	3
Input-Tailored System-Theoretic Model Order Reduction for Quadratic-Bilinear Systems	3
On the Robustness of the Successive Projection Algorithm	3
On Best Low Rank Approximation of Positive Definite Tensors	3
Row or Column Completion of Polynomial Matrices of Given Degree	3
A Measure Concentration Effect for Matrices of High, Higher, and Even Higher Dimension	3
A Note on the Randomized Kaczmarz Algorithm for Solving Doubly Noisy Linear Systems	3
Riemannian Preconditioned Coordinate Descent for Low Multilinear Rank Approximation	3
Spectrum Consistent Coarsening Approximates Edge Weights	3
PinT Preconditioner for Forward-Backward Evolutionary Equations	3
Large-Scale Minimization of the Pseudospectral Abscissa	3
Block \(\boldsymbol{\omega }\)-Circulant Preconditioners for Parabolic Optimal Control Problems	3
Unimodular Completions and Orthogonal Complements of Matrices over Univariate Ore Extensions	3
A Complex-Projected Rayleigh Quotient Iteration for Targeting Interior Eigenvalues	3
Improved Variants of the Hutch++ Algorithm for Trace Estimation	3
Reorthogonalized Block Classical Gram–Schmidt Using Two Cholesky-Based TSQR Algorithms	3
Global Convergence of Hessenberg Shifted QR II: Finite Arithmetic	3
Structure-Preserving Doubling Algorithms That Avoid Breakdowns for Algebraic Riccati-Type Matrix Equations	3
GMRES with Randomized Sketching and Deflated Restarting	3
Guarantees for Existence of a Best Canonical Polyadic Approximation of a Noisy Low-Rank Tensor	3
An Apocalypse-Free First-Order Low-Rank Optimization Algorithm with at Most One Rank Reduction Attempt per Iteration	3
Verified Error Bounds for Matrix Decompositions	3
Estimating the Matrix p \(\boldsymbol{ \rightarrow }\) q Norm	2
A Fast Algorithm for Computing Macaulay Null Spaces of Bivariate Polynomial Systems	2
Computing Accurate Eigenvalues using a Mixed-Precision Jacobi Algorithm	2
Block-Diagonalization of Quaternion Circulant Matrices with Applications	2
Computing the Square Root of a Low-Rank Perturbation of the Scaled Identity Matrix	2
A Subspace-Conjugate Gradient Method for Linear Matrix Equations	2
Infinite GMRES for Parameterized Linear Systems	2
Krylov Subspace Recycling with Randomized Sketching for Matrix Functions	2
Robust Recovery of Low-Rank Matrices and Low-Tubal-Rank Tensors from Noisy Sketches	2
More on Tensors with Different Rank and Symmetric Rank	2
The Rank-1 Completion Problem for Cubic Tensors	2
Bures–Wasserstein Minimizing Geodesics between Covariance Matrices of Different Ranks	2
Matrix Completion and Decomposition in Phase-Bounded Cones	2
Higher-Order QR with Tournament Pivoting for Tensor Compression	2
Singularly Perturbed Markov Modulated Fluid Queues	2
A Block Minimum Residual Norm Subspace Solver with Partial Convergence Management for Sequences of Linear Systems	2
Weighted Enumeration of Nonbacktracking Walks on Weighted Graphs	2
Parallel Transport on Matrix Manifolds and Exponential Action	2
Fast Approximation of the $p$-Radius, Matrix Pressure, or Generalized Lyapunov Exponent for Positive and Dominated Matrices	2
Simultaneous Diagonalization via Congruence of Hermitian Matrices: Some Equivalent Conditions and a Numerical Solution	2
Interior Eigensolver Based on Rational Filter with Composite Rule	2
A New Lower Bound on the Size of the Smallest Vertex Separator of a Graph	2
Adaptive Rational Krylov Methods for Exponential Runge–Kutta Integrators	2
Variational Characterization of Monotone Nonlinear Eigenvector Problems and Geometry of Self-Consistent Field Iteration	2
Structure Preserving Quaternion Biconjugate Gradient Method	2
Permutation-Invariant Log-Euclidean Geometries on Full-Rank Correlation Matrices	2
Cholesky-like Preconditioner for Hodge Laplacians via Heavy Collapsible Subcomplex	2
Divide-and-Conquer Methods for Functions of Matrices with Banded or Hierarchical Low-Rank Structure	2
XTrace: Making the Most of Every Sample in Stochastic Trace Estimation	2
Near Instance Optimality of the Lanczos Method for Stieltjes and Related Matrix Functions	2
On the Weak Infinite Zero Structures and Relative Degrees for Linear Time-Delay Systems	2
Smoothing Analysis of Two Robust Multigrid Methods for Elliptic Optimal Control Problems	2
Dominant Z-Eigenpairs of Tensor Kronecker Products Decouple	2
Maximal Rank of ${m}\times{n}\times 2$ Tensors over Arbitrary Fields	2
Generalized Orthogonal Procrustes Problem under Arbitrary Adversaries	2
Random Walks, Conductance, and Resistance for the Connection Graph Laplacian	2
A New Interpretation of the Weighted Pseudoinverse and Its Applications	2
Partial Identifiability for Nonnegative Matrix Factorization	2

On Pairs of Spectrum Maximizing Products with Distinct Factor Multiplicities	2
Convergence of Gradient-Based Block Coordinate Descent Algorithms for Nonorthogonal Joint Approximate Diagonalization of Matrices	2
Sharp Majorization-Type Cluster Robust Bounds for Block Filters and Eigensolvers	2
A Recursive Eigenspace Computation for the Canonical Polyadic Decomposition	2
Spurious Valleys, NP-Hardness, and Tractability of Sparse Matrix Factorization with Fixed Support	2
An Augmented Matrix-Based CJ-FEAST SVDsolver for Computing a Partial Singular Value Decomposition with the Singular Values in a Given Interval	2
Exactly Solving Sparse Rational Linear Systems via Roundoff-Error-Free Cholesky Factorizations	2
Solving the Parametric Eigenvalue Problem by Taylor Series and Chebyshev Expansion	2
Speeding Up Krylov Subspace Methods for Computing \(\boldsymbol{{f}(A){b}}\) via Randomization	2
Nearly Optimal Block-Jacobi Preconditioning	2
Matrix-Analytic Methods for Solving Poisson’s Equation with Applications to Markov Chains of GI/G/1-Type	2
On Compatible Transfer Operators in Nonsymmetric Algebraic Multigrid	2
Spectral Analysis of Preconditioned Matrices Arising from Stage-Parallel Implicit Runge–Kutta Methods of Arbitrarily High Order	2
Finding the Least Element of a Nonnegative Solution Set of a Class of Polynomial Inequalities	2