OOIR: Observatory of International Research

Papers

(The TQCC of SIAM Journal on Matrix Analysis and Applications is 3. The table below lists those papers that are above that threshold based on CrossRef citation counts [max. 250 papers]. The publications cover those that have been published in the past four years, i.e., from 2021-08-01 to 2025-08-01.)

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
Contour Integration for Eigenvector Nonlinearities	17
Diagonal Scalings for the Eigenstructure of Arbitrary Pencils	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
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
Global Convergence of Hessenberg Shifted QR III: Approximate Ritz Values via Shifted Inverse Iteration	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
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
Refinement of Hottopixx Method for Nonnegative Matrix Factorization Under Noisy Separability	7
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
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
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
Twice Is Enough for Dangerous Eigenvalues	5
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
Entrywise Tensor-Train Approximation of Large Tensors via Random Embeddings	4
Backpropagation through Back Substitution with a Backslash	4
A Measure Concentration Effect for Matrices of High, Higher, and Even Higher Dimension	3
A Comparison of Mixed Precision Iterative Refinement Approaches for Least-Squares Problems	3
Geometric Inexact Newton Method for Generalized Singular Values of Grassmann Matrix Pair	3
An Efficient Algorithm for Integer Lattice Reduction	3

Solving the Cubic Regularization Model by a Nested Restarting Lanczos Method	3
Posterior Covariance Structures in Gaussian Processes	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
A Numerically Stable Communication-Avoiding ${s}$-Step GMRES Algorithm	3
Structure-Preserving Doubling Algorithms That Avoid Breakdowns for Algebraic Riccati-Type Matrix Equations	3
A Theory of Quantum Subspace Diagonalization	3
Randomized Block Adaptive Linear System Solvers	3
GMRES with Randomized Sketching and Deflated Restarting	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
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
Variational Characterization and Rayleigh Quotient Iteration of 2D Eigenvalue Problem with Applications	3
Assigning Stationary Distributions to Sparse Stochastic Matrices	3
Global Convergence of Hessenberg Shifted QR II: Finite Arithmetic	3
Probabilistic Rounding Error Analysis of Modified Gram–Schmidt	3
Row or Column Completion of Polynomial Matrices of Given Degree	3
On Best Low Rank Approximation of Positive Definite Tensors	3
Riemannian Preconditioned Coordinate Descent for Low Multilinear Rank Approximation	3