Linear Algebra and Its Applications

Papers
(The TQCC of Linear Algebra and Its Applications is 2. 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 2021-09-01 to 2025-09-01.)
ArticleCitations
Editorial Board39
Hermitians in matrix algebras with operator norm and associated Lie algebras38
A lower bound for the spectral radius of complex matrices27
A generalized Cheeger inequality26
Decompositions of matrices by using commutators25
Symmetric matrix means23
The characteristic polynomials of uniform double hyperstars and uniform hypertriangles22
Constraints for the spectra of generators of quantum dynamical semigroups21
Laplacian spectra of cographs: A twin reduction perspective18
Sum-full sets are not zero-sum-free18
Classification and decomposition of quaternionic projective transformations18
Anzahl theorems for trivially intersecting subspaces generating a non-singular subspace I: Symplectic and hermitian forms17
Finite-dimensional representations of map superalgebras17
Products of infinite upper triangular quadratic matrices17
On the numerical range of some weighted shift operators16
Isomorphisms between lattices of hyperinvariant subspaces16
On Picard groups and Jacobians of directed graphs16
Spectral mapping theorem of an abstract non-unitary quantum walk15
Corrigendum to “Adaptive cross tubal tensor approximation” [Linear Algebra Appl. 695 (2024) 168–190]15
Editorial Board15
Editorial Board15
Editorial Board15
Editorial Board14
Editorial Board13
Involutive random walks on total orders and the anti-diagonal eigenvalue property13
Editorial Board13
Editorial Board13
Editorial Board13
Editorial Board13
Editorial Board12
When is every linear transformation a sum of a q-potent one and a locally nilpotent one?12
Editorial Board12
The multiplicity of eigenvalues of unicyclic graphs11
The maximum spectral radius of graphs of given size with forbidden subgraph11
On the geometry of nearly orthogonal lattices11
Complementarity spectrum of digraphs10
Distinguishability of the descriptor systems with regular pencil10
Locally finite cycles of linear mappings in countable dimension10
Wedge product matrices and orbits of principal congruence subgroups10
Applications of the Harary-Sachs theorem for hypergraphs10
Linear matrix maps for which positivity and complete positivity coincide10
On a family of low-rank algorithms for large-scale algebraic Riccati equations10
On association schemes generated by a relation or an idempotent10
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Discrete parabolic groups in PSL(3,10
The multilinear rank and core of trifocal Grassmann tensors10
Conjectures on spectral properties of ALIF algorithm10
Perturbation expansions and error bounds for the truncated singular value decomposition9
Refined and generalized numerical radius inequalities for 2 × 2 operator matrices9
On the spectral radius of the generalized adjacency matrix of a digraph9
Generalized unistochastic matrices9
Block Gram-Schmidt algorithms and their stability properties9
Editorial Board9
Bispectrality for matrix Laguerre-Sobolev polynomials9
Jordan types with small parts for Artinian Gorenstein algebras of codimension three9
Editorial Board9
Editorial Board8
Editorial Board8
Editorial Board8
Editorial Board8
Cut norm discontinuity of triangular truncation of graphons8
On realization of left and right products of rational functions8
Editorial Board8
A linear algorithm for the minimal realization problem in physical coordinates with a non-invertible output matrix8
Editorial Board7
Bidiagonal factorization of the recurrence matrix for the Hahn multiple orthogonal polynomials7
Spectral radius and fractional [a,b]-factor of graphs7
Colorings in digraphs from the spectral radius7
Symmetric matrix representations of truncated Toeplitz operators on finite dimensional spaces7
On digraphs with polygonal restricted numerical range7
P-matrix powers7
Minimal compact operators, subdifferential of the maximum eigenvalue and semi-definite programming7
Symmetric nonnegative matrix trifactorization7
The Karcher mean of equilateral triangles7
On positional representation of integer vectors7
On the structure of the solutions to the matrix equation G⁎JG = J7
Locally supported, quasi-interpolatory bases for the approximation of functions on graphs7
Coloring the normalized Laplacian for oriented hypergraphs7
Collocation methods for nonlinear differential equations on low-rank manifolds7
The spectrum of symmetric decorated paths7
Reinhardt free spectrahedra7
Smith forms of matrices in Companion Rings, with group theoretic and topological applications7
Decompositions of matrices over division algebras into products of commutators7
Resolvent and spectrum for discrete symplectic systems in the limit point case6
Editorial Board6
Editorial Board6
Comparing the principal eigenvector of a hypergraph and its shadows6
Recovering a magnitude-symmetric matrix from its principal minors6
Counting distinct functional graphs from linear finite dynamical systems6
Beurling-Lax type theorems and Cuntz relations6
Spectral and norm estimates for matrix-sequences arising from a finite difference approximation of elliptic operators6
Fourier decompositions of graphs with symmetries and equitable partitions6
Dynamic Katz and related network measures6
A note on the invariant factors of the walk matrix of a graph6
The spectra of random mixed graphs6
Norm inequalities involving the weighted numerical radii of operators6
The determinant of {±1}-matrices and oriented hypergraphs6
Optimal unit triangular factorization of symplectic matrices6
Anticodes in the sum-rank metric6
Critical groups of arithmetical structures under a generalized star-clique operation6
On the structure of the 6 × 6 copositive cone6
Locating eigenvalues of quadratic matrix polynomials6
Editorial Board6
Spectral methods for matrix product factorization6
On the asymptotic spectral distribution of increasing size matrices: test functions, spectral clustering, and asymptotic estimates of outliers6
Eigenvector Phase Retrieval: Recovering eigenvectors from the absolute value of their entries6
Editorial Board6
Editorial Board6
123-avoiding doubly stochastic matrices6
A Fiedler-type determinantal inequality in Euclidean Jordan algebras6
On a question (and its answer) by Albrecht Böttcher6
The numerical radius and positivity of block matrices6
A new probabilistic model for optimal frames in erasure's recovery6
A note on joint numerical radius6
Resolvent and logarithmic residues of a singular operator pencil in Hilbert spaces6
Graded monomial identities and almost non-degenerate gradings on matrices6
The eigenvalues of the Hessian matrices of the generating functions for trees with k components6
Sums and products of symplectic eigenvalues5
Strong quantum state transfer on graphs via loop edges5
Spectral radius conditions for the existence of all subtrees of diameter at most four5
A Riordan group poset5
Editorial Board5
Coordination and discoordination in linear algebra, linear information theory, and coded caching5
Polynomial approximations for the matrix logarithm with computation graphs5
Editorial Board5
Exponential-type extended Riordan arrays and reciprocity law for generalized Stirling numbers5
Polynomial codimension growth of superalgebras with superautomorphism5
Editorial Board5
Polynomials that preserve nonnegative matrices5
On connected signed graphs with rank equal to girth5
A t-intersecting Hilton-Milner theorem for vector spaces5
A maximal distribution result and numerical tests for geometric means of HPD GLT matrix-sequences with degenerate commuting/non-commuting GLT symbols5
On the complex stability radius for time-delay differential-algebraic systems5
Demystifying the Karpelevič theorem5
Symmetric doubly stochastic inverse eigenvalue problem for odd sizes5
Row or column completion of polynomial matrices of given degree II5
Conjectured DXZ decompositions of a unitary matrix5
Tridiagonal pairs of Krawtchouk type arising from finite-dimensional irreducible 5
Laplacian energies of vertices5
Editorial Board5
Editorial Board5
A short proof of the symmetric determinantal representation of polynomials5
Zero-product balanced algebras5
Editorial Board5
New scattered linearized quadrinomials5
Perfect state transfer on Cayley graphs over the dicyclic group5
On the distance from a matrix to nilpotents5
On Kursov's theorem for matrices over division rings5
Avoiding right angles and certain Hamming distances5
Analyticity of the Karcher mean coefficient maps5
Combinatorial reduction of set functions and matroid permutations through minor invertible product assignment5
The dimension formula for certain twisted Jacquet modules of a cuspidal representation of GL(n,F)5
The unique spectral extremal graph for intersecting cliques or intersecting odd cycles5
Numerical solution of a class of quasi-linear matrix equations5
Complex symmetry in the Fock space of several variables5
Tridiagonal M-matrices whose group inverses are tridiagonal5
Low Phase-Rank Approximation5
Rosenbrock's theorem on system matrices over elementary divisor domains5
Symbol based convergence analysis in multigrid methods for saddle point problems5
All eigenvalues of the power hypergraph and signed subgraphs of a graph5
Characterizations of homomorphisms among unital completely positive maps5
On the subalgebra lattice of a restricted Lie algebra5
Dynamical dual frames with an application to quantization5
Maxima of the Q-index: Graphs with no K1,-minor5
Editorial Board4
On Cayley graphs over generalized dicyclic groups4
2 × 2 minors of recursive matrices related to generalized Dyck paths4
Linear pencils and quadratic programming problems with a quadratic constraint4
Upper bounds on the smallest positive eigenvalue of trees with at most one zero eigenvalue4
Identities for subspaces of a parametric Weyl algebra4
Irreducible actions of finite hypergroups and association schemes4
Editorial Board4
Kirchberger's theorem for complexes of oriented matroids4
Remarks on Hadamard matrices and a theorem of Macphail4
Comprehensive classification of the algebra generated by two idempotent matrices4
Eigenvalue superposition for Toeplitz matrix-sequences with matrix order dependent symbols4
A unified approach to generalized Pascal-like matrices: q-analysis4
Conditionally positive definite unilateral weighted shifts4
Pseudospectra and simultaneous power control4
The skew spectral radius and skew Randić spectral radius of general random oriented graphs4
Nearly all subspaces of a classical polar space arise from its universal embedding4
Editorial Board4
Graded polynomial identities for the Jordan algebra of 2 × 2 upper triangular matrices4
Standard monomials of 1-skeleton ideals of graphs and generalized signless Laplacians4
On the group of linear preservers of the Gau-Wu number4
Numerical ranges of Hankel matrices4
On the minimum semidefinite rank of signed graphs4
Conditional positive definiteness as a bridge between k–hyponormality and n–contractivity4
A multilevel approach to stochastic trace estimation4
Piercing intersecting convex sets4
Editorial Board4
A unified proof of interlacing properties of eigenvalues of totally positive matrices4
Editorial Board4
Cohen Lenstra partitions and mutually annihilating matrices over a finite field4
On the phases of a semi-sectorial matrix and the essential phase of a Laplacian4
Quasi-Whittaker modules for the n-th Schrödinger algebra4
When does subtracting a rank-one approximation decrease tensor rank?4
Differential codimensions and exponential growth4
Some bounds for determinants of relatively D-stable matrices4
Structural properties of symmetric Toeplitz and Hankel matrices4
Editorial Board4
On max-plus two-sided linear systems whose solution sets are min-plus linear4
Corrigendum to “Development of inequalities and characterization of equality conditions for the numerical radius” [Linear Algebra Appl. 630 (2021) 306–315]4
Minimum semidefinite rank of signed graphs and partial 3-trees4
Eigenvalues of laplacian matrices of the cycles with one negative-weighted edge4
Monotonicity of the principal pivot transform4
Optimal implementation of quantum gates with two controls4
Editorial Board4
Editorial Board4
Editorial Board4
The numerical Jordan form4
Diminimal families of arbitrary diameter4
Integral representations for higher-order Fréchet derivatives of matrix functions: Quadrature algorithms and new results on the level-2 condition number4
A note for the SNIEP in size 54
Spectral Turán problem for K54
Yet another criterion for the total positivity of Riordan arrays4
Stability of matrix polynomials in one and several variables4
Dynamical sampling for the recovery of spatially constant source terms in dynamical systems4
Editorial Board4
Power set of some quasinilpotent weighted shifts on ℓ3
Eventual cone invariance revisited3
On the periodicity of singular vectors and the holomorphic block-circulant SVD on the unit circumference3
Accurate computations with collocation matrices of the Lupaş-type (p,q)-analogue of the Bernstein basis3
Model order reduction for discrete time-delay systems based on Laguerre function expansion3
Numerical methods for eigenvalues of singular polynomial eigenvalue problems3
Invariant subspace perturbation of a matrix with Jordan blocks3
Publisher's Note3
Structured backward errors for special classes of saddle point problems with applications3
Signless Laplacian spectral radius of graphs without short cycles or long cycles3
Adaptive cross tubal tensor approximation3
Minimizing the Laplacian-energy-like of graphs3
On the optimal rank-1 approximation of matrices in the Chebyshev norm3
Root vectors of polynomial and rational matrices: Theory and computation3
Additive mappings preserving orthogonality between complex inner product spaces3
The classification of nilpotent Lie-Yamaguti algebras3
Iterative hybrid regularization for extremely noisy full models in single particle analysis3
Editorial Board3
Editorial Board3
Editorial Board3
Doubly stochastic and permutation solutions to AXA = XAX when A is a permutation matrix3
Norm of an operator with numerical range in a sector3
Editorial Board3
Editorial Board3
New lower bounds on the minimum singular value of a matrix3
Cyclic frames in finite-dimensional Hilbert spaces3
Inheritance properties of the conjugate discrete-time algebraic Riccati equation3
An ensemble of high rank matrices arising from tournaments3
Editorial Board3
Editorial Board3
The characterization of the minimal weighted acyclic graphs3
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