Linear Algebra and Its Applications

Article	Citations
Spectral radius and matchings in graphs	39
Development of inequalities and characterization of equality conditions for the numerical radius	31
Convolutional proximal neural networks and Plug-and-Play algorithms	31
On the spectrum of hypergraphs	26
Column subset selection is NP-complete	20
Hoffman's ratio bound	19
Trees with extremal spectral radius of weighted adjacency matrices among trees weighted by degree-based indices	19
Distance problems for dissipative Hamiltonian systems and related matrix polynomials	18
A sharp upper bound on the spectral radius of C5-free /C6-free graphs with given size	17
A relation between a vertex-degree-based topological index and its energy	17
Phase-isometries between normed spaces	17
Two sufficient conditions for odd [1,b]-factors in graphs	17
Refined and generalized numerical radius inequalities for 2 × 2 operator matrices	16
A generalization of irreducibility and diagonal dominance with applications to horizontal and vertical linear complementarity problems	16
Block Gram-Schmidt algorithms and their stability properties	16
Better bounds on the numerical radii of Hilbert space operators	15
Upper bounds and lower bounds for the spectral radius of Reciprocal Distance, Reciprocal Distance Laplacian and Reciprocal Distance signless Laplacian matrices	15
Frequency- and time-limited balanced truncation for large-scale second-order systems	15
Metrics induced by Jensen-Shannon and related divergences on positive definite matrices	14
CKV-type matrices with applications	14
On the smallest singular value of multivariate Vandermonde matrices with clustered nodes	14
Energy of a graph and Randic index	14
Spectral extremal graphs for intersecting cliques	14
On greedy randomized block Kaczmarz method for consistent linear systems	14
A study on T-eigenvalues of third-order tensors	13

Another generalization of the numerical radius for Hilbert space operators	13
On convergence rate of the randomized Gauss-Seidel method	13
The A-spectral radius of graphs with a prescribed number of edges for1	13
Geometric and combinatorial aspects of submonoids of a finite-rank free commutative monoid	12
Extended randomized Kaczmarz method for sparse least squares and impulsive noise problems	12
Perturbation expansions and error bounds for the truncated singular value decomposition	12
Periodicity of lively quantum walks on cycles with generalized Grover coin	12
Local linearizations of rational matrices with application to rational approximations of nonlinear eigenvalue problems	11
The α-z-Bures Wasserstein divergence	11
Universal spectra of the disjoint union of regular graphs	11
On the Rellich eigendecomposition of para-Hermitian matrices and the sign characteristics of ⁎-palindromic matrix polynomials	11
The signless Laplacian spectral radius of graphs with no intersecting triangles	11
The image of polynomials on 2 × 2 upper triangular matrix algebras	11
The spectral properties of Vandermonde matrices with clustered nodes	11
Approximation with a Kronecker product structure with one component as compound symmetry or autoregression via entropy loss function	10
O(n)-invariant Riemannian metrics on SPD matrices	10
Further characterizations of the co-EP matrices	10
Anderson's theorem and A-spectral radius bounds for semi-Hilbertian space operators	10
Signed distance in signed graphs	10
A non-commutative Bayes' theorem	10
On the Laplacian spectra of token graphs	10
Singular Sylvester equation in Banach spaces and its applications: Fredholm theory approach	10
Degree-based energies of trees	10
Numerical computation and new output bounds for time-limited balanced truncation of discrete-time systems	10
Representations of the rank two Racah algebra and orthogonal multivariate polynomials	9
Transposed Poisson structures on Block Lie algebras and superalgebras	9
Numerically and spectrally optimal dual frames in Hilbert spaces	9
On the A-spectral radius of graphs with given size and diameter	9
The A-spectral radius and perfect matchings of graphs	9
A quadrature framework for solving Lyapunov and Sylvester equations	9
Signless Laplacian spectral radius of graphs without short cycles or long cycles	9
Periodicity of quantum walks defined by mixed paths and mixed cycles	9
On preservers related to the spectral geometric mean	9
Testing copositivity via mixed–integer linear programming	9
Ordering the maxima of L-index and Q-index: Graphs with given size and diameter	8
Every non-smooth 2-dimensional Banach space has the Mazur–Ulam property	8
Orthogonality of bilinear forms and application to matrices	8
Decompositions of matrices over division algebras into products of commutators	8
Half Riordan array sequences	8
Eigenvalues and eigenvectors of a class of irreducible tridiagonal matrices	8
Tridiagonalization of systems of coupled linear differential equations with variable coefficients by a Lanczos-like method	8
Convex cones in mapping spaces between matrix algebras	8
Perfect state transfer on oriented graphs	8
Spectra of quaternion unit gain graphs	8
On minimal decompositions of low rank symmetric tensors	8
Transposed Poisson structures on Witt type algebras	8
The extremal α-index of graphs with no 4-cycle and 5-cycle	8
On the zeros of a quaternionic polynomial with restricted coefficients	8
Godsil-McKay switching for mixed and gain graphs over the circle group	8
Density of free modules over finite chain rings	8

Oriented graphs determined by their generalized skew spectrum	8
Cospectrality preserving graph modifications and eigenvector properties via walk equivalence of vertices	8
Equivalence of slice semi-regular functions via Sylvester operators	8
Every 2-dimensional Banach space has the Mazur–Ulam property	8
The Rényi power means of matrices	8
On the phases of a semi-sectorial matrix and the essential phase of a Laplacian	7
On nonsingularity of circulant matrices	7
Rational Krylov and ADI iteration for infinite size quasi-Toeplitz matrix equations	7
On connected graphs of order n with girth g and nullity n − g	7
Effective resistance is more than distance: Laplacians, Simplices and the Schur complement	7
Unitarily invariant norm inequalities for positive semidefinite matrices	7
Laplacian eigenvalue distribution and graph parameters	7
Complex unit gain graphs with exactly one positive eigenvalue	7
On the multiplicity of positive eigenvalues of a graph	7
On minimal bases and indices of rational matrices and their linearizations	7
Eigenvalues and chromatic number of a signed graph	7
Gain-line graphs via G-phases and group representations	7
A refinement of A-Buzano inequality and applications to A-numerical radius inequalities	7
Accurate computations of eigenvalues of quasi-Cauchy-Vandermonde matrices	7
Proof of a conjecture on distance energy change of complete multipartite graph due to edge deletion	7
Model reduction of discrete time-delay systems based on Charlier polynomials and high-order Krylov subspaces	7
Complete positivity and self-adjointness	7
Classes of nonbipartite graphs with reciprocal eigenvalue property	7
On the multiplicities of normalized Laplacian eigenvalues of graphs	7
The d-Majorization Polytope	7
Maximizing the A-spectral radius of graphs with given size and diameter	6
An inverse formula for the distance matrix of a wheel graph with an even number of vertices	6
On circulant like matrices properties involving Horadam, Fibonacci, Jacobsthal and Pell numbers	6
Asymptotic values of four Laplacian-type energies for matrices with degree-distance-based entries of random graphs	6
Convex and expansive liftings close to two-isometries and power bounded operators	6
Determinantal conditions for homomorphic sensing	6
No signed graph with the nullity η(G,σ)=|V(G)| − 2m(G)+2c(G)−1	6
A note on the multiplicities of the eigenvalues of a tree	6
Swift chiral quantum walks	6
Weighted means of B-splines, positivity of divided differences, and complete homogeneous symmetric polynomials	6
On a conjecture about maximum scattered subspaces of F	6
Root vectors of polynomial and rational matrices: Theory and computation	6
The bipartite distance matrix of a nonsingular tree	6
The maximum spectral radius of graphs of given size with forbidden subgraph	6
Low Phase-Rank Approximation	6
Two complementary block Macaulay matrix algorithms to solve multiparameter eigenvalue problems	6
Algorithms for indefinite linear least squares problems	6
Every nonsingular spherical Euclidean distance matrix is a resistance distance matrix	6
The Karcher mean of linearly independent triples	6
Gateaux derivative of C⁎ norm	6
Revisiting a sharpened version of Hadamard's determinant inequality	6
Resistance distance and spanning 2-forest matrices of linear 2-trees	6
Invariant tolerance relations on positive definite matrices	6
A geometric approach to numerical radius inequalities	6
On the energy of line graphs	6
On the walk matrix of the Dynkin graph D	6
Spherical (t,t)-designs with a small number of vectors	6
Rank-one perturbations of matrix pencils	6
Connectivity and eigenvalues of graphs with given girth or clique number	6
On cardinality of complementarity spectra of connected graphs	6
A spectral condition for odd cycles in non-bipartite graphs	6
A unified construction of all the hypergeometric and basic hypergeometric families of orthogonal polynomial sequences	6
Efficiency of any weighted geometric mean of the columns of a reciprocal matrix	6
A reduction formula for the characteristic polynomial of hypergraph with pendant edges	6
Bounds for the rank of a complex unit gain graph in terms of its maximum degree	6
Integral equienergetic non-isospectral unitary Cayley graphs	6
Quantum divergences with p-power means	6
Constraints for the spectra of generators of quantum dynamical semigroups	6
On the Floquet analysis of commutative periodic Lindbladians in finite dimension	6
A generalization of Fiedler's lemma and the spectra of H-join of graphs	6
Graphs with eigenvalue −1 of multiplicity 2θ(G)+ρ(G)−1	6
On the Smith normal form of walk matrices	6
Monotonicity versions of Epstein's Concavity Theorem and related inequalities	6
Connectivity for quantum graphs	5
On Cayley graphs over generalized dicyclic groups	5
Automorphisms and derivations of algebras of infinite matrices	5
Lower bounds for the Aα	5
Some new inequalities for the Hadamard product of nonnegative matrices	5
Ricci curvature, graphs and eigenvalues	5
Some spectral properties of the non-backtracking matrix of a graph	5
Matching number, Hamiltonian graphs and magnetic Laplacian matrices	5
A Coxeter spectral classification of positive edge-bipartite graphs II. Dynkin type 5
Further constructions of large cyclic subspace codes via Sidon spaces	5
Admissibility and frame homotopy for quaternionic frames	5
Random projections for conic programs	5

The multiplicity of eigenvalues of trees	5
Two-step nilpotent Leibniz algebras	5
Linear converters of weak, directional and strong majorizations	5
The bifurcation lemma for strong properties in the inverse eigenvalue problem of a graph	5
On the distance spectrum of minimal cages and associated distance biregular graphs	5
Non-abelian extensions of Rota-Baxter Lie algebras and inducibility of automorphisms	5
Anticodes in the sum-rank metric	5
Joins of circulant matrices	5
Scaffolds: A graph-theoretic tool for tensor computations related to Bose-Mesner algebras	5
Some generalizations of real power form for Young-type inequalities and their applications	5
Spectra of rank-one perturbations of self-adjoint operators	5
Vertex-connectivity, chromatic number, domination number, maximum degree and Laplacian eigenvalue distribution	5
Yet another criterion for the total positivity of Riordan arrays	5
Maximizing the signless Laplacian spectral radius of k-connected graphs with given diameter	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
A matrix inequality for entanglement distillation problem	5
Approximate orthogonality in normed spaces and its applications II	5
The images of polynomials on 3 × 3 upper triangular matrix algebras	5
Sedentary quantum walks	5
On connected signed graphs with rank equal to girth	5
The weighted Hilbert–Schmidt numerical radius	5
Minimal-norm static feedbacks using dissipative Hamiltonian matrices	5
The main eigenvalues of signed graphs	5
Extremal spectral radius of graphs with rank 4	5
A note on the parallel sum	5
A Calderón type inverse problem for tree graphs	5
Conjectures on spectral properties of ALIF algorithm	5
When is every matrix over a ring the sum of two tripotents?	5
On the spectral radius of block graphs with prescribed independence number α	5
The critical point and the p-norm of the Hilbert L-matrix	5
On Kippenhahn curves and higher-rank numerical ranges of some matrices	5
A multilevel approach to stochastic trace estimation	5
Refined decay bounds on the entries of spectral projectors associated with sparse Hermitian matrices	5
On the size of the set of unbounded multilinear operators between Banach spaces	5
The sum of two quadratic matrices: Exceptional cases	5
On two geometric means and sum of adjoint orbits	4
Quasi-ergodic limits for finite absorbing Markov chains	4
Graphs G with nullity n(G)−g(G)−1	4
Involution widths of skew linear groups generated by involutions	4
A note on eigenvalues of signed graphs	4
Extremal results for C3	4
Congruence of matrix spaces, matrix tuples, and multilinear maps	4
The Hafnian Master Theorem	4
Nonderogatory matrices as sums of idempotent and nilpotent matrices	4
Riordan arrays, Łukasiewicz paths and Narayana polynomials	4
Diagonalizable higher degree forms and symmetric tensors	4
Structure of centralizer matrix algebras	4
Matrix Waring problem	4
Graphs with few distinct D-eigenvalues determined by their D-spectra	4
A short proof of the symmetric determinantal representation of polynomials	4
Perfect state transfer on Cayley graphs over the dicyclic group	4
The spectral spread of Hermitian matrices	4
Distance eigenvalues of a cograph and their multiplicities	4
The A-spread of a graph	4
Distribution and number of focal points for linear Hamiltonian systems	4
Convexity of the Berezin range	4
On the Laplacian spectrum of k-uniform hypergraphs	4
A divergence center interpretation of general symmetric Kubo-Ando means, and related weighted multivariate operator means	4
Dual core-nilpotent decomposition and dual binary relation	4
A graphical calculus for integration over random diagonal unitary matrices	4
On the Perron root and eigenvectors associated with a subshift of finite type	4
Characterization of graphs with some normalized Laplacian eigenvalue of multiplicity n − 3	4
Bilinear factorizations subject to monomial equality constraints via tensor decompositions	4
A gradient system approach for Hankel structured low-rank approximation	4
Flattening rank and its combinatorial applications	4
Spectral invariants for finite dimensional Lie algebras	4
Congruence subgroups and orthogonal groups	4
Kaczmarz's anomaly: A surprising feature of Kaczmarz's method	4
The group inverse of some circulant matrices	4
A Cvetković-type Theorem for coloring of digraphs	4
More about involutions in the group of almost-Riordan arrays	4
Perfect state transfer in Grover walks between states associated to vertices of a graph	4
Alpha Procrustes metrics between positive definite operators: A unifying formulation for the Bures-Wasserstein and Log-Euclidean/Log-Hilbert-Schmidt metrics	4
On integral mixed Cayley graphs over non-abelian finite groups admitting an abelian subgroup of index 2	4
Analyticity of the Karcher mean coefficient maps	4
A new class of polynomials from the spectrum of a graph, and its application to bound the k-independence number	4
Graphical designs and extremal combinatorics	4
Measuring the stability of spectral clustering	4
Norm inequalities involving the weighted numerical radii of operators	4
Improved bounds for the numerical radius via polar decomposition of operators	4
On the Moore-Penrose pseudo-inversion of block symmetric matrices and its application in the graph theory	4
On A spectral extrema of graphs forbidding even cycles	4
Theory and applications of linearized multivariate skew polynomials	4
Signed graphs with three eigenvalues: Biregularity and beyond	4
Best approximation by diagonal operators in Schatten ideals	4
Compositions and tensor products of linear maps between matrix algebras	4
Lower bounds for the spectral norm of digraphs	4
On Ward's differential calculus, Riordan matrices and Sheffer polynomials	4
Frames over finite fields: Equiangular lines in orthogonal geometry	4
Integer matrix factorisations, superalgebras and the quadratic form obstruction	4
Quaternionic numerical range of complex matrices	4
Accurate computations with Wronskian matrices of Bessel and Laguerre polynomials	4
Sign patterns that allow algebraic positivity	4
Riemannian gradient descent methods for graph-regularized matrix completion	4