Linear Algebra and Its Applications

Article	Citations
Spectral radius and matchings in graphs	28
The signless Laplacian spectral radius of graphs with a prescribed number of edges	27
Convolutional proximal neural networks and Plug-and-Play algorithms	26
Development of inequalities and characterization of equality conditions for the numerical radius	25
On the phases of a complex matrix	23
On the spectrum of hypergraphs	21
Column subset selection is NP-complete	17
Bounds on the ABC spectral radius and ABC energy of graphs	17
Hoffman's ratio bound	17
On the number of roots of some linearized polynomials	16
Refined and generalized numerical radius inequalities for 2 × 2 operator matrices	16
A sharp upper bound on the spectral radius of C5-free /C6-free graphs with given size	15
On tuples of commuting operators in positive semidefinite inner product spaces	15
Better bounds on the numerical radii of Hilbert space operators	14
Exact recovery in the hypergraph stochastic block model: A spectral algorithm	14
Phase-isometries between normed spaces	14
On the smallest singular value of multivariate Vandermonde matrices with clustered nodes	14
A generalization of irreducibility and diagonal dominance with applications to horizontal and vertical linear complementarity problems	14
Frequency- and time-limited balanced truncation for large-scale second-order systems	14
Upper bounds and lower bounds for the spectral radius of Reciprocal Distance, Reciprocal Distance Laplacian and Reciprocal Distance signless Laplacian matrices	14
Trees with extremal spectral radius of weighted adjacency matrices among trees weighted by degree-based indices	14
A relation between a vertex-degree-based topological index and its energy	13
On greedy randomized block Kaczmarz method for consistent linear systems	13
Distance problems for dissipative Hamiltonian systems and related matrix polynomials	13
Block Gram-Schmidt algorithms and their stability properties	13

Energy of a graph and Randic index	13
The A-spectral radius of graphs with a prescribed number of edges for1	13
A study on T-eigenvalues of third-order tensors	12
On generalized distance energy of graphs	12
Metrics induced by Jensen-Shannon and related divergences on positive definite matrices	12
Perturbation expansions and error bounds for the truncated singular value decomposition	12
On convergence rate of the randomized Gauss-Seidel method	11
CKV-type matrices with applications	11
The spectral properties of Vandermonde matrices with clustered nodes	11
Spectral extremal graphs for intersecting cliques	11
Another generalization of the numerical radius for Hilbert space operators	11
Universal spectra of the disjoint union of regular graphs	11
On the ABC spectra radius of unicyclic graphs	11
Geometric and combinatorial aspects of submonoids of a finite-rank free commutative monoid	11
Guarantees for the Kronecker fast Johnson–Lindenstrauss transform using a coherence and sampling argument	10
On the multiplicity of eigenvalues of trees	10
On the Rellich eigendecomposition of para-Hermitian matrices and the sign characteristics of ⁎-palindromic matrix polynomials	10
Periodicity of lively quantum walks on cycles with generalized Grover coin	10
‘Hubs-repelling’ Laplacian and related diffusion on graphs/networks	10
Two sufficient conditions for odd [1,b]-factors in graphs	10
O(n)-invariant Riemannian metrics on SPD matrices	10
Local linearizations of rational matrices with application to rational approximations of nonlinear eigenvalue problems	9
The image of polynomials on 2 × 2 upper triangular matrix algebras	9
Numerically and spectrally optimal dual frames in Hilbert spaces	9
Degree-based energies of trees	9
Numerical computation and new output bounds for time-limited balanced truncation of discrete-time systems	9
Approximation with a Kronecker product structure with one component as compound symmetry or autoregression via entropy loss function	9
The signless Laplacian spectral radius of graphs with no intersecting triangles	9
Complex unit gain graphs of rank 2	9
The α-z-Bures Wasserstein divergence	9
Signed distance in signed graphs	9
Representations of the rank two Racah algebra and orthogonal multivariate polynomials	8
A quadrature framework for solving Lyapunov and Sylvester equations	8
Perfect state transfer on oriented graphs	8
Notes on Markov embedding	8
Signless Laplacian spectral radius of graphs without short cycles or long cycles	8
m-Isometric operators and their local properties	8
Tridiagonalization of systems of coupled linear differential equations with variable coefficients by a Lanczos-like method	8
Extended randomized Kaczmarz method for sparse least squares and impulsive noise problems	8
On preservers related to the spectral geometric mean	8
On the Laplacian spectra of token graphs	8
Single-pass randomized algorithms for LU decomposition	8
The extremal α-index of graphs with no 4-cycle and 5-cycle	8
Further characterizations of the co-EP matrices	8
A non-commutative Bayes' theorem	8
The A-spectral radius and perfect matchings of graphs	8
Every non-smooth 2-dimensional Banach space has the Mazur–Ulam property	8
Orthogonality of bilinear forms and application to matrices	8
Anderson's theorem and A-spectral radius bounds for semi-Hilbertian space operators	8
On the A-spectral radius of graphs with given size and diameter	8

Characterizing cospectral vertices via isospectral reduction	8
Signless Laplacian spectral conditions for Hamilton-connected graphs with large minimum degree	7
Density of free modules over finite chain rings	7
Cospectrality preserving graph modifications and eigenvector properties via walk equivalence of vertices	7
On a conjecture about maximum scattered subspaces of F	7
Eigenvalues and eigenvectors of a class of irreducible tridiagonal matrices	7
Convex cones in mapping spaces between matrix algebras	7
On the multiplicity of positive eigenvalues of a graph	7
On maximum volume submatrices and cross approximation for symmetric semidefinite and diagonally dominant matrices	7
Rational Krylov and ADI iteration for infinite size quasi-Toeplitz matrix equations	7
Gain-line graphs via G-phases and group representations	7
Singular Sylvester equation in Banach spaces and its applications: Fredholm theory approach	7
The d-Majorization Polytope	7
Half Riordan array sequences	7
Rank-one perturbations of matrix pencils	7
On the identifiability of ternary forms	7
Oriented graphs determined by their generalized skew spectrum	7
Upper Hessenberg and Toeplitz Bohemians	7
Faster quantum computation with permutations and resonant couplings	7
Testing copositivity via mixed–integer linear programming	7
The Rényi power means of matrices	7
Every 2-dimensional Banach space has the Mazur–Ulam property	7
Transposed Poisson structures on Block Lie algebras and superalgebras	7
Randomized QLP decomposition	7
Asymptotic values of four Laplacian-type energies for matrices with degree-distance-based entries of random graphs	6
On minimal bases and indices of rational matrices and their linearizations	6
Classes of nonbipartite graphs with reciprocal eigenvalue property	6
A geometric approach to numerical radius inequalities	6
A note on the multiplicities of the eigenvalues of a tree	6
On the zeros of a quaternionic polynomial with restricted coefficients	6
Unitarily invariant norm inequalities for positive semidefinite matrices	6
Distance spectral radius of trees with given number of segments	6
Accurate computations of eigenvalues of quasi-Cauchy-Vandermonde matrices	6
A generalization of Fiedler's lemma and the spectra of H-join of graphs	6
On nonsingularity of circulant matrices	6
On maps preserving Lie products equal to a rank-one nilpotent	6
Bounds on Kronecker coefficients via contingency tables	6
Maximizing the A-spectral radius of graphs with given size and diameter	6
Adjacency spectra of random and complete hypergraphs	6
Convex and expansive liftings close to two-isometries and power bounded operators	6
Gateaux derivative of C⁎ norm	6
On minimal decompositions of low rank symmetric tensors	6
Invariant tolerance relations on positive definite matrices	6
Laplacian eigenvalue distribution and graph parameters	6
Integral equienergetic non-isospectral unitary Cayley graphs	6
The distance eigenvalues of the complements of unicyclic graphs	6
Ordering the maxima of L-index and Q-index: Graphs with given size and diameter	6
Spherical (t,t)-designs with a small number of vectors	6
Godsil-McKay switching for mixed and gain graphs over the circle group	6
Root vectors of polynomial and rational matrices: Theory and computation	6
An inverse formula for the distance matrix of a wheel graph with an even number of vertices	6
Equivalence of slice semi-regular functions via Sylvester operators	6
The Terwilliger algebra of the Grassmann scheme J(N,D) revisited from the viewpoint of the quantum affine algebra	6
The asymptotic value of energy for matrices with degree-distance-based entries of random graphs	6
Spectra of quaternion unit gain graphs	6
On connected graphs of order n with girth g and nullity n − g	6
On unimodular multilinear forms with small norms on sequence spaces	6
Effective resistance is more than distance: Laplacians, Simplices and the Schur complement	6
On the multiplicity of α as an eigenvalue of the A matrix of a graph in terms of the number of pendant vertices	6
On the Floquet analysis of commutative periodic Lindbladians in finite dimension	6
On a theorem of Godsil and McKay concerning the construction of cospectral graphs	6
On parallel sum of operators	6
Complex unit gain graphs with exactly one positive eigenvalue	6
A refinement of A-Buzano inequality and applications to A-numerical radius inequalities	6
Periodicity of quantum walks defined by mixed paths and mixed cycles	6
On the Smith normal form of walk matrices	6
On cardinality of complementarity spectra of connected graphs	6
A Schur-Horn theorem for symplectic eigenvalues	6
On the estimation of unknown distances for a class of Euclidean distance matrix completion problems with interval data	6
On circulant like matrices properties involving Horadam, Fibonacci, Jacobsthal and Pell numbers	6
Scaffolds: A graph-theoretic tool for tensor computations related to Bose-Mesner algebras	5
No signed graph with the nullity η(G,σ)=|V(G)| − 2m(G)+2c(G)−1	5
Connectivity and eigenvalues of graphs with given girth or clique number	5
Resistance distance and spanning 2-forest matrices of linear 2-trees	5
On the distance spectrum of minimal cages and associated distance biregular graphs	5
The multiplicity of eigenvalues of trees	5
A spectral condition for odd cycles in non-bipartite graphs	5
The bipartite distance matrix of a nonsingular tree	5
Eigenvalues and chromatic number of a signed graph	5
A unified construction of all the hypergeometric and basic hypergeometric families of orthogonal polynomial sequences	5

Automorphisms and derivations of algebras of infinite matrices	5
Graphical designs and extremal combinatorics	5
The main eigenvalues of signed graphs	5
Revisiting a sharpened version of Hadamard's determinant inequality	5
Swift chiral quantum walks	5
Transposed Poisson structures on Witt type algebras	5
Maximizing the signless Laplacian spectral radius of k-connected graphs with given diameter	5
Joins of hypergraphs and their spectra	5
Updating structured matrix pencils with no spillover effect on unmeasured spectral data and deflating pair	5
On the gap between deterministic and probabilistic joint spectral radii for discrete-time linear systems	5
Proof of a conjecture on distance energy change of complete multipartite graph due to edge deletion	5
A Coxeter spectral classification of positive edge-bipartite graphs II. Dynkin type 5
Linear converters of weak, directional and strong majorizations	5
A reduction formula for the characteristic polynomial of hypergraph with pendant edges	5
Bounded rank perturbations of regular pencils over arbitrary fields	5
Decompositions of matrices over division algebras into products of commutators	5
Lower bounds for the Aα	5
Weak majorization, doubly substochastic maps, and some related inequalities in Euclidean Jordan algebras	5
Bounds for the rank of a complex unit gain graph in terms of its maximum degree	5
Approximate orthogonality in normed spaces and its applications II	5
Weighted means of B-splines, positivity of divided differences, and complete homogeneous symmetric polynomials	5
Elements of finite order in the Riordan group and their eigenvectors	5
On the multiplicities of normalized Laplacian eigenvalues of graphs	5
Low Phase-Rank Approximation	5
Inversion of operator pencils on Banach space using Jordan chains when the generalized resolvent has an isolated essential singularity	5
Two complementary block Macaulay matrix algorithms to solve multiparameter eigenvalue problems	5
On the walk matrix of the Dynkin graph D	5
On the size of the set of unbounded multilinear operators between Banach spaces	5
Complete positivity and self-adjointness	5
The Karcher mean of linearly independent triples	5
Some new inequalities for the Hadamard product of nonnegative matrices	5
Blind deconvolution of covariance matrix inverses for autoregressive processes	5
Extremal spectral radius of graphs with rank 4	5
Algorithms for indefinite linear least squares problems	4
Structure of centralizer matrix algebras	4
The spectral spread of Hermitian matrices	4
Model reduction of discrete time-delay systems based on Charlier polynomials and high-order Krylov subspaces	4
On the spectral radius of block graphs with prescribed independence number α	4
Connectivity for quantum graphs	4
Some majorization inequalities induced by Schur products in Euclidean Jordan algebras	4
On integral mixed Cayley graphs over non-abelian finite groups admitting an abelian subgroup of index 2	4
Equivalence and characterizations of linear rank-metric codes based on invariants	4
Convexity of the Berezin range	4
Every nonsingular spherical Euclidean distance matrix is a resistance distance matrix	4
When is every matrix over a ring the sum of two tripotents?	4
On the sparseness of certain linear MRD codes	4
A matrix inequality for entanglement distillation problem	4
Bilinear factorizations subject to monomial equality constraints via tensor decompositions	4
Diagonalizable higher degree forms and symmetric tensors	4
The maximum spectral radius of graphs of given size with forbidden subgraph	4
A bound on the spectral radius of graphs in terms of their Zagreb indices	4
On the difference of energies of a graph and its complement graph	4
Theory and applications of linearized multivariate skew polynomials	4
A gradient system approach for Hankel structured low-rank approximation	4
Spectra of rank-one perturbations of self-adjoint operators	4
Monotonicity versions of Epstein's Concavity Theorem and related inequalities	4
Two-step nilpotent Leibniz algebras	4
A classical proof that the algebraic homotopy class of a rational function is the residue pairing	4
Quantum divergences with p-power means	4
The strong spectral property for graphs	4
Locally finite coalgebras and the locally nilpotent radical I	4
Anticodes in the sum-rank metric	4
Nearly all subspaces of a classical polar space arise from its universal embedding	4
The A-spread of a graph	4
On two geometric means and sum of adjoint orbits	4
Vertex-connectivity, chromatic number, domination number, maximum degree and Laplacian eigenvalue distribution	4
Joins of circulant matrices	4
The critical point and the p-norm of the Hilbert L-matrix	4
A graphical calculus for integration over random diagonal unitary matrices	4
Spectral invariants for finite dimensional Lie algebras	4
Congruence subgroups and orthogonal groups	4
Non-abelian extensions of Rota-Baxter Lie algebras and inducibility of automorphisms	4
A multilevel approach to stochastic trace estimation	4
Constraints for the spectra of generators of quantum dynamical semigroups	4
The images of polynomials on 3 × 3 upper triangular matrix algebras	4
On Ward's differential calculus, Riordan matrices and Sheffer polynomials	4
Harmonious projections and Halmos' two projections theorem for Hilbert C⁎-module operators	4
Riemannian gradient descent methods for graph-regularized matrix completion	4
Matrix Waring problem	4
Random projections for conic programs	4
Nonlinear invertibility preserving maps on matrix algebras	4
The sum of two quadratic matrices: Exceptional cases	4
Minimal-norm static feedbacks using dissipative Hamiltonian matrices	4
Graphs with eigenvalue −1 of multiplicity 2θ(G)+ρ(G)−1	4
Sign patterns that allow algebraic positivity	4
A note on eigenvalues of signed graphs	4
Nonderogatory matrices as sums of idempotent and nilpotent matrices	4
Determinantal conditions for homomorphic sensing	4
Some results concerning the multiplicities of cocharacters of superalgebras with graded involution	4
Inverse maximal eigenvalues problems for Leslie and doubly Leslie matrices	4
The Hafnian Master Theorem	4
Distinguishability of the descriptor systems with regular pencil	4
Yet another criterion for the total positivity of Riordan arrays	4
Admissibility and frame homotopy for quaternionic frames	4
On the Terwilliger algebra of distance-biregular graphs	4