OOIR: Observatory of International Research

Papers

(The TQCC of SIAM Journal on Matrix Analysis and Applications is 4. 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 2021-11-01 to 2025-11-01.)

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
Computing the Riemannian Logarithm on the Stiefel Manifold: Metrics, Methods, and Performance	15
Analysis of the Truncated Conjugate Gradient Method for Linear Matrix Equations	15
A Fast Iterative Algorithm for Near-Diagonal Eigenvalue Problems	14
Arbitrary Precision Algorithms for Computing the Matrix Cosine and its Fréchet Derivative	14
Generalized Matrix Nearness Problems	14
$(L_r,L_r,1)$-Decompositions, Sparse Component Analysis, and the Blind Separation of Sums of Exponentials	13
A Bootstrap Multigrid Eigensolver	13
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
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
Probabilistic Rounding Error Analysis of Householder QR Factorization	11
A Newton Method for Solving Locally Definite Multiparameter Eigenvalue Problems by Multi-index	11
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
Krylov-Aware Stochastic Trace Estimation	10

Extreme Ratio Between Spectral and Frobenius Norms of Nonnegative Tensors	10
Sensitivity of Matrix Function Based Network Communicability Measures: Computational Methods and A Priori Bounds	10
Decomposition of a Tensor into Multilinear Rank-${(M_{{r}},N_{{r}},\cdot )}$ Terms	9
Mixed Precision Recursive Block Diagonalization for Bivariate Functions of Matrices	9
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
Multidimensional Total Least Squares Problem with Linear Equality Constraints	8
Solving Singular Generalized Eigenvalue Problems. Part II: Projection and Augmentation	8
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
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
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
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
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
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
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
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