Linear Algebra and Its Applications

Papers
(The median citation count of Linear Algebra and Its Applications is 0. 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 2021-05-01 to 2025-05-01.)
ArticleCitations
Editorial Board35
Wedge product matrices and orbits of principal congruence subgroups33
Hermitians in matrix algebras with operator norm and associated Lie algebras26
A lower bound for the spectral radius of complex matrices24
Spectral mapping theorem of an abstract non-unitary quantum walk23
A generalized Cheeger inequality23
Decompositions of matrices by using commutators21
Symmetric matrix means21
The characteristic polynomials of uniform double hyperstars and uniform hypertriangles20
Constraints for the spectra of generators of quantum dynamical semigroups19
Sum-full sets are not zero-sum-free19
Degree-based energies of trees18
On the geometry of nearly orthogonal lattices18
Classification and decomposition of quaternionic projective transformations18
(m,18
Laplacian spectra of cographs: A twin reduction perspective17
Products of infinite upper triangular quadratic matrices16
Anzahl theorems for trivially intersecting subspaces generating a non-singular subspace I: Symplectic and hermitian forms16
Finite-dimensional representations of map superalgebras16
Isomorphisms between lattices of hyperinvariant subspaces14
Generalized unistochastic matrices13
On the numerical range of some weighted shift operators13
Conjectures on spectral properties of ALIF algorithm13
The multilinear rank and core of trifocal Grassmann tensors13
Jordan types with small parts for Artinian Gorenstein algebras of codimension three13
Editorial Board12
Corrigendum to “Adaptive cross tubal tensor approximation” [Linear Algebra Appl. 695 (2024) 168–190]12
Bispectrality for matrix Laguerre-Sobolev polynomials12
Editorial Board12
On Picard groups and Jacobians of directed graphs12
Editorial Board12
Applications of the Harary-Sachs theorem for hypergraphs11
Editorial Board11
Involutive random walks on total orders and the anti-diagonal eigenvalue property11
Discrete parabolic groups in PSL(3,11
Editorial Board11
Editorial Board11
Complementarity spectrum of digraphs10
Editorial Board10
Editorial Board10
On a family of low-rank algorithms for large-scale algebraic Riccati equations10
Linear matrix maps for which positivity and complete positivity coincide10
Editorial Board10
Editorial Board9
Editorial Board9
When is every linear transformation a sum of a q-potent one and a locally nilpotent one?9
On the spectral radius of the generalized adjacency matrix of a digraph9
Editorial Board9
Locally finite cycles of linear mappings in countable dimension9
Refined and generalized numerical radius inequalities for 2 × 2 operator matrices9
The multiplicity of eigenvalues of unicyclic graphs9
Preface9
Signed graphs with stable maximum nullity at most two9
Perturbation expansions and error bounds for the truncated singular value decomposition9
Editorial Board8
Norm inequalities involving the weighted numerical radii of operators8
Block Gram-Schmidt algorithms and their stability properties8
A new probabilistic model for optimal frames in erasure's recovery8
On realization of left and right products of rational functions8
Editorial Board8
On association schemes generated by a relation or an idempotent8
The maximum spectral radius of graphs of given size with forbidden subgraph8
Editorial Board8
Editorial Board8
Beurling-Lax type theorems and Cuntz relations8
Distinguishability of the descriptor systems with regular pencil8
Editorial Board8
Editorial Board8
A linear algorithm for the minimal realization problem in physical coordinates with a non-invertible output matrix7
The numerical radius and positivity of block matrices7
Cut norm discontinuity of triangular truncation of graphons7
Symmetric nonnegative matrix trifactorization7
Locating eigenvalues of quadratic matrix polynomials7
Editorial Board7
Counting distinct functional graphs from linear finite dynamical systems7
Spectral and norm estimates for matrix-sequences arising from a finite difference approximation of elliptic operators7
On the structure of the 6 × 6 copositive cone7
Editorial Board7
Critical groups of arithmetical structures under a generalized star-clique operation7
Editorial Board7
Colorings in digraphs from the spectral radius7
The Karcher mean of equilateral triangles7
Coloring the normalized Laplacian for oriented hypergraphs7
Symmetric matrix representations of truncated Toeplitz operators on finite dimensional spaces6
Editorial Board6
A Fiedler-type determinantal inequality in Euclidean Jordan algebras6
Scaffolds: A graph-theoretic tool for tensor computations related to Bose-Mesner algebras6
Smith forms of matrices in Companion Rings, with group theoretic and topological applications6
Collocation methods for nonlinear differential equations on low-rank manifolds6
The determinant of {±1}-matrices and oriented hypergraphs6
On the asymptotic spectral distribution of increasing size matrices: test functions, spectral clustering, and asymptotic estimates of outliers6
Editorial Board6
Recovering a magnitude-symmetric matrix from its principal minors6
Demystifying the Karpelevič theorem6
Optimal unit triangular factorization of symplectic matrices6
Anticodes in the sum-rank metric6
P-matrix powers6
Bidiagonal factorization of the recurrence matrix for the Hahn multiple orthogonal polynomials6
Reinhardt free spectrahedra6
Decompositions of matrices over division algebras into products of commutators6
Fourier decompositions of graphs with symmetries and equitable partitions6
Comparing the principal eigenvector of a hypergraph and its shadows6
On the structure of the solutions to the matrix equation G⁎JG = J6
Editorial Board6
Locally supported, quasi-interpolatory bases for the approximation of functions on graphs6
Polynomial approximations for the matrix logarithm with computation graphs6
On positional representation of integer vectors6
The spectrum of symmetric decorated paths6
On digraphs with polygonal restricted numerical range6
Editorial Board6
The dimension formula for certain twisted Jacquet modules of a cuspidal representation of GL(n,F)6
On Kursov's theorem for matrices over division rings6
123-avoiding doubly stochastic matrices5
Numerator polynomials of Riordan matrices and generalized Lagrange series5
Spectral radius conditions for the existence of all subtrees of diameter at most four5
Dynamical dual frames with an application to quantization5
Tridiagonal M-matrices whose group inverses are tridiagonal5
Laplacian energies of vertices5
Editorial Board5
Editorial Board5
The eigenvalues of the Hessian matrices of the generating functions for trees with k components5
New characterizations of the matrix classes , and R5
Graded monomial identities and almost non-degenerate gradings on matrices5
Editorial Board5
Numerical solution of a class of quasi-linear matrix equations5
On the subalgebra lattice of a restricted Lie algebra5
Sums and products of symplectic eigenvalues5
Row or column completion of polynomial matrices of given degree II5
On a question (and its answer) by Albrecht Böttcher5
Editorial Board5
Tridiagonal pairs of Krawtchouk type arising from finite-dimensional irreducible 5
The spectra of random mixed graphs5
On the complex stability radius for time-delay differential-algebraic systems5
A short proof of the symmetric determinantal representation of polynomials5
Editorial Board5
Characterizations of homomorphisms among unital completely positive maps5
Zero-product balanced algebras5
Perfect state transfer on Cayley graphs over the dicyclic group5
Polynomials that preserve nonnegative matrices5
Analyticity of the Karcher mean coefficient maps5
Editorial Board5
Resolvent and spectrum for discrete symplectic systems in the limit point case5
Coordination and discoordination in linear algebra, linear information theory, and coded caching5
Resolvent and logarithmic residues of a singular operator pencil in Hilbert spaces5
Editorial Board5
Eigenvector Phase Retrieval: Recovering eigenvectors from the absolute value of their entries5
On connected signed graphs with rank equal to girth5
On distance matrices of helm graphs obtained from wheel graphs with an even number of vertices5
New scattered linearized quadrinomials5
Complex symmetry in the Fock space of several variables5
A t-intersecting Hilton-Milner theorem for vector spaces5
Spectral methods for matrix product factorization5
All eigenvalues of the power hypergraph and signed subgraphs of a graph5
Dynamic Katz and related network measures5
Editorial Board5
A note on the invariant factors of the walk matrix of a graph5
Symbol based convergence analysis in multigrid methods for saddle point problems5
Conjectured DXZ decompositions of a unitary matrix4
A Riordan group poset4
On the group of linear preservers of the Gau-Wu number4
Eigenvalue superposition for Toeplitz matrix-sequences with matrix order dependent symbols4
On the number of symmetric presentations of a determinantal hypersurface4
Editorial Board4
Graded polynomial identities for the Jordan algebra of 2 × 2 upper triangular matrices4
Some bounds for determinants of relatively D-stable matrices4
Differential codimensions and exponential growth4
A unified proof of interlacing properties of eigenvalues of totally positive matrices4
A multilevel approach to stochastic trace estimation4
Dynamical sampling for the recovery of spatially constant source terms in dynamical systems4
Editorial Board4
On Cayley graphs over generalized dicyclic groups4
Exponential-type extended Riordan arrays and reciprocity law for generalized Stirling numbers4
Editorial Board4
Polynomial codimension growth of superalgebras with superautomorphism4
Strong quantum state transfer on graphs via loop edges4
Diminimal families of arbitrary diameter4
Kirchberger's theorem for complexes of oriented matroids4
Combinatorial reduction of set functions and matroid permutations through minor invertible product assignment4
Eigenvalues of laplacian matrices of the cycles with one negative-weighted edge4
Avoiding right angles and certain Hamming distances4
On max-plus two-sided linear systems whose solution sets are min-plus linear4
Maxima of the Q-index: Graphs with no K1,-minor4
The skew spectral radius and skew Randić spectral radius of general random oriented graphs4
Identities for subspaces of a parametric Weyl algebra4
A note for the SNIEP in size 54
Yet another criterion for the total positivity of Riordan arrays4
Optimal implementation of quantum gates with two controls4
On the minimum semidefinite rank of signed graphs4
Rosenbrock's theorem on system matrices over elementary divisor domains4
Integral representations for higher-order Fréchet derivatives of matrix functions: Quadrature algorithms and new results on the level-2 condition number4
Remarks on Hadamard matrices and a theorem of Macphail4
Editorial Board4
On the distance from a matrix to nilpotents4
On convergence to eigenvalues and eigenvectors in the block-Jacobi EVD algorithm with dynamic ordering4
Minimum semidefinite rank of signed graphs and partial 3-trees4
The unique spectral extremal graph for intersecting cliques or intersecting odd cycles4
A unified approach to generalized Pascal-like matrices: q-analysis4
Symmetric doubly stochastic inverse eigenvalue problem for odd sizes4
Spectral Turán problem for K54
Comprehensive classification of the algebra generated by two idempotent matrices4
Monotonicity of the principal pivot transform4
Upper bounds on the smallest positive eigenvalue of trees with at most one zero eigenvalue4
Editorial Board4
The numerical Jordan form4
Conditionally positive definite unilateral weighted shifts4
Conditional positive definiteness as a bridge between k–hyponormality and n–contractivity4
Cohen Lenstra partitions and mutually annihilating matrices over a finite field4
Editorial Board4
Low Phase-Rank Approximation4
On the periodicity of singular vectors and the holomorphic block-circulant SVD on the unit circumference3
On local preservation of orthogonality and its application to isometries3
Identities and cocharacters of the algebra of 3 × 3 matrices with non-trivial grading and transpose graded involution3
On sign-real spectral radii and sign-real expansive matrices3
A matrix formula for Schur complements of nonnegative selfadjoint linear relations3
Eventual cone invariance revisited3
Eigenvalues and eigenvectors of a class of irreducible tridiagonal matrices3
Special issue in honor of Albrecht Böttcher3
The classification of nilpotent Lie-Yamaguti algebras3
On distance Laplacian spectral radius and chromatic number of graphs3
Root vectors of polynomial and rational matrices: Theory and computation3
Corrigendum to “Compatible pairs of commuting isometries” [Linear Algebra Appl. 479 (2015) 216–259]3
Threshold graphs, Kemeny's constant, and related random walk parameters3
The Gau–Wu number for 4 × 4 and select arrowhead matrices3
Stochastic matrices realising the boundary of the Karpelevič region3
Accurate computations with collocation matrices of the Lupaş-type (p,q)-analogue of the Bernstein basis3
Combinatorial proofs of multivariate Cayley–Hamilton theorems3
Proof of a conjecture on polynomials preserving nonnegative matrices3
The condition number of singular subspaces, revisited3
M-IHS: An accelerated randomized preconditioning method avoiding costly matrix decompositions3
The height of an infinite parallelotope is infinite3
The characterization of the minimal weighted acyclic graphs3
Stabilization of associated prime ideals of monomial ideals – Bounding the copersistence index3
Some spectral properties of the non-backtracking matrix of a graph3
A linear-algebraic and lattice-theoretical look at the Cleaning Lemma of quantum coding theory3
Graphs G with nullity n(G)−g(G)−13
Editorial Board3
Editorial Board3
On the Hurwitz stability of noninteger Hadamard powers of stable polynomials3
New lower bounds on the minimum singular value of a matrix3
Graphs with few distinct D-eigenvalues determined by their D-spectra3
A unified approach to nonlinear Perron-Frobenius theory3
3-Uniform hypergraphs from vector spaces3
Characterizing graphs with fully positive semidefinite Q-matrices3
Sequence characterization of almost-Riordan arrays3
Editorial Board3
Maximum determinant and permanent of sparse 0-1 matrices3
Inheritance properties of the conjugate discrete-time algebraic Riccati equation3
Additive mappings preserving orthogonality between complex inner product spaces3
Some properties concerning Perron vectors of weakly irreducible nonnegative tensors, and their application to rigorous enclosure3
A cone-preserving solution to a nonsymmetric Riccati equation3
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