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 2021-04-01 to 2025-04-01.)
ArticleCitations
Dominant subspace and low-rank approximations from block Krylov subspaces without a prescribed gap47
Polynomial similarity of pairs of matrices33
The Hermitian Killing form and root counting of complex polynomials with conjugate variables32
On complex symmetric weighted shifts30
When is every linear transformation a sum of a q-potent one and a locally nilpotent one?23
Products of Hermitian matrices over division rings22
Threshold graphs, Kemeny's constant, and related random walk parameters20
Additive mappings preserving orthogonality between complex inner product spaces20
A cone-preserving solution to a nonsymmetric Riccati equation19
Böttcher-Wenzel inequality for weighted Frobenius norms and its application to quantum physics19
Multiple typical ranks in matrix completion19
Transposed Poisson structures on Witt type algebras18
Editorial Board18
On Picard groups and Jacobians of directed graphs18
Wedge product matrices and orbits of principal congruence subgroups17
Some further applications of a lattice theoretic method in the study of singular LCM matrices17
Editorial Board16
Special issue in honor of Albrecht Böttcher16
Editorial Board14
An inverse eigenvalue problem for structured matrices determined by graph pairs14
Corrigendum to “Adaptive cross tubal tensor approximation” [Linear Algebra Appl. 695 (2024) 168–190]13
Editorial Board13
The multilinear rank and core of trifocal Grassmann tensors12
Products of unipotent elements of index 2 in orthogonal and symplectic groups12
Spectral Turán problems for intersecting even cycles12
Spectral analysis of implicit 2 stage block Runge-Kutta preconditioners12
Characterization of k-spectrally monomorphic two-graphs11
Lipschitz continuity for isotropic matrix functions11
Editorial Board11
Schur analysis over the unit spectral ball11
Some spectral properties of the non-backtracking matrix of a graph11
Editorial Board11
Bounding the Frobenius norm of a q-deformed commutator11
A refinement of A-Buzano inequality and applications to A-numerical radius inequalities11
Discrete parabolic groups in PSL(3,10
A direct solution to the stochastic inverse eigenvalue problem for complex-valued eigenspectra10
Entrywise lower and upper bounds for the Perron vector10
Spectrum of the Transposition graph10
Editorial Board10
Editorial Board9
The classification of nilpotent Lie-Yamaguti algebras9
On a family of low-rank algorithms for large-scale algebraic Riccati equations9
Spectral properties of token graphs9
Root vectors of polynomial and rational matrices: Theory and computation9
Linear matrix maps for which positivity and complete positivity coincide9
Editorial Board9
On the geometry of numerical ranges over finite fields9
Editorial Board9
Editorial Board9
Cluster tilting modules for mesh algebras9
Hadamard's optimized inequality8
Editorial Board8
Editorial Board8
Minimal rank completions for overlapping blocks8
Editorial Board8
Editorial Board8
Editorial Board8
Spectral distribution of families of Hankel matrices8
Editorial Board8
Editorial Board8
Signed graphs with stable maximum nullity at most two8
On some algebraic properties related to Heron type operator means on positive definite cones of C⁎-algebras8
Editorial Board8
Complementarity spectrum of digraphs8
Editorial Board8
Strictly chordal graphs: Structural properties and integer Laplacian eigenvalues7
Involutive random walks on total orders and the anti-diagonal eigenvalue property7
Efficient sampling in spectrahedra and volume approximation7
Applications of the Harary-Sachs theorem for hypergraphs7
The Gau–Wu number for 4 × 4 and select arrowhead matrices7
Editorial Board7
Exact solutions in low-rank approximation with zeros7
Editorial Board7
Maximum determinant and permanent of sparse 0-1 matrices7
On the optimal rank-1 approximation of matrices in the Chebyshev norm7
Editorial Board7
Editorial Board7
Editorial Board7
Factoring discrete-time quantum walks on distance regular graphs into continuous-time quantum walks7
The characteristic polynomial of projections7
Congruence subgroups and orthogonal groups6
Characterizing graphs with fully positive semidefinite Q-matrices6
A parametrization of structure-preserving transformations for matrix polynomials6
A nonlinear preserver problem on positive matrices6
Eigenvalue embedding problem for quadratic regular matrix polynomials with symmetry structures6
The multiplicity of eigenvalues of unicyclic graphs6
Editorial Board6
Quadratic embedding constants of graphs: Bounds and distance spectra6
Eventual cone invariance revisited6
On sign-real spectral radii and sign-real expansive matrices6
Proof of a conjecture on polynomials preserving nonnegative matrices6
Sequence characterization of almost-Riordan arrays6
On the equivalence issue of a class of 2-dimensional linear maximum rank distance codes6
A unified approach to nonlinear Perron-Frobenius theory6
Spectral and ergodic properties of completely positive maps and decoherence6
Solving linear equations over maxmin-ω systems6
Editorial Board6
Editorial Board6
Suzuki type estimates for exponentiated sums and generalized Lie-Trotter formulas in JB-algebras6
Editorial Board6
Preface6
Locally finite cycles of linear mappings in countable dimension6
Editorial Board6
M-IHS: An accelerated randomized preconditioning method avoiding costly matrix decompositions6
Differential polynomial identities of upper triangular matrices of size three6
Editorial Board6
Solutions of the matrix equation p(X)=A, with polynomial function p(λ) over field extensions of 6
Signed graphs with maximum nullity two6
Low-rank matrices, tournaments, and symmetric designs5
On the spectra of token graphs of cycles and other graphs5
Isomorphisms between lattices of hyperinvariant subspaces5
On local preservation of orthogonality and its application to isometries5
Products of involutions in symplectic groups over general fields (I)5
Three decompositions of symmetric tensors have similar condition numbers5
Jordan types with small parts for Artinian Gorenstein algebras of codimension three5
Order isomorphisms on effect algebras of the C⁎-algebras of type C5
Structure-preserving linear quadratic Gaussian balanced truncation for port-Hamiltonian descriptor systems5
On distance Laplacian spectral radius and chromatic number of graphs5
The new inverse eigenvalue problems for periodic and generalized periodic Jacobi matrices from their extremal spectral data5
Hermitians in matrix algebras with operator norm and associated Lie algebras5
(α,β)-labelling method for k-uniform hypergraph and its applications5
On association schemes generated by a relation or an idempotent5
Chordal graphs and distinguishability of quantum product states5
Inertias of matrices and sign patterns related to a system of second order ODEs5
On the numerical range of some weighted shift operators5
Apportionable matrices and gracefully labelled graphs5
Generalized unistochastic matrices5
On the inverse eigenvalue problem for block graphs5
Inequalities for totally nonnegative matrices: Gantmacher–Krein, Karlin, and Laplace5
On almost semimonotone matrices and the linear complementarity problem5
Some generalizations of real power form for Young-type inequalities and their applications5
The height of an infinite parallelotope is infinite5
Algebraic constructions for Jacobi-Jordan algebras5
Geometric and spectral analysis on weighted digraphs5
Bispectrality for matrix Laguerre-Sobolev polynomials5
A zero forcing technique for bounding sums of eigenvalue multiplicities5
Quadratic embedding constants of path graphs5
Mixed tensor invariants of Lie color algebra5
On the sum of left and right circulant matrices5
Classifying linear matrix inequalities via abstract operator systems5
On sums of gr-PI algebras5
Finite-dimensional representations of map superalgebras5
The characterization of the minimal weighted acyclic graphs5
Stabilization of associated prime ideals of monomial ideals – Bounding the copersistence index5
Refined and generalized numerical radius inequalities for 2 × 2 operator matrices5
Distinguishability of the descriptor systems with regular pencil5
Combinatorial proofs of multivariate Cayley–Hamilton theorems5
Additive maps preserving rank-bounded sets of matrices5
A lower bound for the spectral radius of complex matrices5
Unitarily invariant norm inequalities for positive semidefinite matrices5
Characterization of almost-Riordan arrays with row sums5
Every 2-dimensional Banach space has the Mazur–Ulam property5
Convexity of a certain operator trace functional5
The A-spectral radius of graphs with a prescribed number of edges for15
A new subclass of Q0-matrix in linear complementarity theory4
Identities and cocharacters of the algebra of 3 × 3 matrices with non-trivial grading and transpose graded involution4
Products of infinite upper triangular quadratic matrices4
A sharp upper bound on the spectral radius of C5-free /C6-free graphs with given size4
(m,4
Eigenvalue multiplicity in cubic signed graphs4
Graphs with few distinct eigenvalues and extremal energy4
Sum-full sets are not zero-sum-free4
The n-th production matrix of a Riordan array4
On the A- spectral radius of Halin graphs4
Accurate computations with collocation matrices of the Lupaş-type (p,q)-analogue of the Bernstein basis4
Matrix theory for independence algebras4
The maximum spectral radius of P2+1-free graphs of given size4
A bound for the p-domination number of a graph in terms of its eigenvalue multiplicities4
The group inverse of some circulant matrices4
Majorization for (0,±1)-matrices4
On a question of Haemers regarding vectors in the nullspace of Seidel matrices4
On the geometry of the set of control matrices of linear systems with prescribed controllability indices4
Structure of centralizer matrix algebras4
Norm and numerical radius of single operators through tools and techniques from multivariable operator theory4
Fractional perfect matching and distance spectral radius in graphs4
Full characterization of graphs having certain normalized Laplacian eigenvalue of multiplicity n − 34
On the cardinality of matrices with prescribed rank and partial trace over a finite field4
State representations of convolutional codes over a finite ring4
Computation of the nearest non-prime polynomial matrix: Structured low-rank approximation approach4
Integer Laplacian eigenvalues of chordal graphs4
On essential numerical ranges and essential spectra of Hamiltonian systems with one singular endpoint4
Spectral extrema of {Kk4
Surjective isometries between unitary sets of unital JB⁎-algebras4
Frequency- and time-limited balanced truncation for large-scale second-order systems4
On skew-symmetric Toeplitz matrices over finite fields with periodicity conditions4
Anzahl theorems for trivially intersecting subspaces generating a non-singular subspace I: Symplectic and hermitian forms4
Convolutional proximal neural networks and Plug-and-Play algorithms4
Some examples of nonassociative coalgebras and supercoalgebras4
Graphs with few distinct D-eigenvalues determined by their D-spectra4
On the rank and the approximation of symmetric tensors4
The condition number of singular subspaces, revisited4
A generalization of Fiedler's lemma and the spectra of H-join of graphs4
Spectral mapping theorem of an abstract non-unitary quantum walk4
Characterisation of the lattice operations on positive operators with respect to the spectral order4
Tight frames generated by a graph short-time Fourier transform4
The first two maximum ABC spectral radii of bicyclic graphs4
On worst-case condition numbers of a multiple nonzero finite generalized singular value4
Homogeneous Sylvester equations of lower triangular matrices4
Accurate bidiagonal factorization of quantum Hilbert matrices4
Decompositions and eigenvectors of Riordan matrices4
Some properties concerning Perron vectors of weakly irreducible nonnegative tensors, and their application to rigorous enclosure4
Universality of Weyl unitaries4
On (k + 1)-line graphs of k-trees and their nullities4
On the energy of line graphs4
On automorphism groups of idempotent evolution algebras4
Compositions and tensor products of linear maps between matrix algebras4
Trees with matrix weights: Laplacian matrix and characteristic-like vertices4
Matrix roots in the max-plus algebra3
Asymptotic analysis of generalized orthogonal flows3
Nick Higham (1961–2024)3
Editorial Board3
Counting distinct functional graphs from linear finite dynamical systems3
Tensor slice rank and Cayley's first hyperdeterminant3
Eigenbasis for a weighted adjacency matrix associated with the projective geometry B(n)3
On a minimum enclosing ball of a collection of linear subspaces3
Ricci curvature, graphs and eigenvalues3
A linear-algebraic and lattice-theoretical look at the Cleaning Lemma of quantum coding theory3
Constraints for the spectra of generators of quantum dynamical semigroups3
Conjectures on spectral properties of ALIF algorithm3
Riordan-Krylov matrices over an algebra3
Phase retrieval for affine groups over prime fields3
Corrigendum to “Some (counter)examples on totally positive Riordan arrays” [Linear Algebra Appl. 594 (2020) 117–123]3
Editorial Board3
A new generalization of Fielder's lemma with applications3
Minimal compact operators, subdifferential of the maximum eigenvalue and semi-definite programming3
Critical groups of arithmetical structures under a generalized star-clique operation3
Spectral properties of balanced trees and dendrimers3
Inheritance properties of the conjugate discrete-time algebraic Riccati equation3
Strong star complements in graphs3
Excessive symmetry can preclude cutoff3
Eigenvalues and eigenvectors of a class of irreducible tridiagonal matrices3
Block Gram-Schmidt algorithms and their stability properties3
Specht property for the graded identities of the pair (M2(D),sl2(D))3
On the spectral radius of the generalized adjacency matrix of a digraph3
On the quadratic convergence of the complex HZ method for the positive definite generalized eigenvalue problem3
Double framed moduli spaces of quiver representations3
Gradings on associative triple systems of the second kind3
Matrices whose group inverses are M-matrices3
Functors between representation categories. Universal modules3
The numerical radius and positivity of block matrices3
Images of multilinear polynomials in the algebra of finitary matrices contain trace zero matrices3
Pseudo S-spectra of special operators in quaternionic Hilbert spaces3
In-evolution operators in genetic coalgebras3
Perturbation expansions and error bounds for the truncated singular value decomposition3
A matrix formula for Schur complements of nonnegative selfadjoint linear relations3
The Faddeev-LeVerrier algorithm and the Pfaffian3
Q-integral graphs with at most two vertices of degree greater than or equal to three3
On a formula of Thompson and McEnteggert for the adjugate matrix3
Regularity of interval max-plus matrices3
A note on the parallel sum3
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