Linear Algebra and Its Applications

Article	Citations
Generalized tensor function via the tensor singular value decomposition based on the T-product	66
Seminorm and numerical radius inequalities of operators in semi-Hilbertian spaces	36
Spectral radius and matchings in graphs	28
The signless Laplacian spectral radius of graphs with a prescribed number of edges	27
Development of inequalities and characterization of equality conditions for the numerical radius	23
On the phases of a complex matrix	22
Convolutional proximal neural networks and Plug-and-Play algorithms	22
On the spectrum of hypergraphs	21
MRD-codes arising from the trinomial xq<	19
Rank of a Hadamard product	18
Bounds on the ABC spectral radius and ABC energy of graphs	17
Column subset selection is NP-complete	16
Hoffman's ratio bound	16
Refined and generalized numerical radius inequalities for 2 × 2 operator matrices	16
On the number of roots of some linearized polynomials	16
On tuples of commuting operators in positive semidefinite inner product spaces	15
Trees with extremal spectral radius of weighted adjacency matrices among trees weighted by degree-based indices	14
Upper bounds and lower bounds for the spectral radius of Reciprocal Distance, Reciprocal Distance Laplacian and Reciprocal Distance signless Laplacian matrices	14
Frequency- and time-limited balanced truncation for large-scale second-order systems	14
A generalization of irreducibility and diagonal dominance with applications to horizontal and vertical linear complementarity problems	14
A sharp upper bound on the spectral radius of C5-free /C6-free graphs with given size	14
On greedy randomized block Kaczmarz method for consistent linear systems	13
A factorization method for completely positive matrices	13
Distance problems for dissipative Hamiltonian systems and related matrix polynomials	13
Bounds for the largest and the smallest A eigenvalues of a graph in terms of vertex degrees	13

Phase-isometries between normed spaces	13
On the smallest singular value of multivariate Vandermonde matrices with clustered nodes	13
Energy of a graph and Randic index	13
The A-spectral radius of graphs with a prescribed number of edges for1	13
Better bounds on the numerical radii of Hilbert space operators	13
Exact recovery in the hypergraph stochastic block model: A spectral algorithm	13
Metrics induced by Jensen-Shannon and related divergences on positive definite matrices	12
Block Gram-Schmidt algorithms and their stability properties	12
A relation between a vertex-degree-based topological index and its energy	12
Perturbation expansions and error bounds for the truncated singular value decomposition	12
On generalized distance energy of graphs	12
Spectral extremal graphs for intersecting cliques	11
Another generalization of the numerical radius for Hilbert space operators	11
On convergence rate of the randomized Gauss-Seidel method	11
A study on T-eigenvalues of third-order tensors	11
The spectral properties of Vandermonde matrices with clustered nodes	11
On the ABC spectra radius of unicyclic graphs	11
CKV-type matrices with applications	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	10
Guarantees for the Kronecker fast Johnson–Lindenstrauss transform using a coherence and sampling argument	10
‘Hubs-repelling’ Laplacian and related diffusion on graphs/networks	10
Two sufficient conditions for odd [1,b]-factors in graphs	10
Periodicity of lively quantum walks on cycles with generalized Grover coin	10
The spectral Turán problem about graphs with no 6-cycle	10
Geometric and combinatorial aspects of submonoids of a finite-rank free commutative monoid	10
Signless Laplacian spectral conditions for Hamilton-connected graphs with large minimum degree	9
Numerically and spectrally optimal dual frames in Hilbert spaces	9
Numerical computation and new output bounds for time-limited balanced truncation of discrete-time systems	9
The image of polynomials on 2 × 2 upper triangular matrix algebras	9
On the multiplicity of eigenvalues of trees	9
Complex unit gain graphs of rank 2	9
The signless Laplacian spectral radius of graphs with no intersecting triangles	9
Degree-based energies of trees	9
Local linearizations of rational matrices with application to rational approximations of nonlinear eigenvalue problems	9
m-Isometric operators and their local properties	8
Extended randomized Kaczmarz method for sparse least squares and impulsive noise problems	8
Every non-smooth 2-dimensional Banach space has the Mazur–Ulam property	8
Perfect state transfer on oriented graphs	8
Single-pass randomized algorithms for LU decomposition	8
On the A-spectral radius of graphs with given size and diameter	8
A non-commutative Bayes' theorem	8
Characterizing cospectral vertices via isospectral reduction	8
The A-spectral radius and perfect matchings of graphs	8
Orthogonality of bilinear forms and application to matrices	8
Approximation with a Kronecker product structure with one component as compound symmetry or autoregression via entropy loss function	8
Signless Laplacian spectral radius of graphs without short cycles or long cycles	8
Signed distance in signed graphs	8
Tridiagonalization of systems of coupled linear differential equations with variable coefficients by a Lanczos-like method	8
Further characterizations of the co-EP matrices	8

On preservers related to the spectral geometric mean	8
On the Laplacian spectra of token graphs	8
The α-z-Bures Wasserstein divergence	8
The extremal α-index of graphs with no 4-cycle and 5-cycle	8
Cospectrality preserving graph modifications and eigenvector properties via walk equivalence of vertices	7
Upper Hessenberg and Toeplitz Bohemians	7
Every 2-dimensional Banach space has the Mazur–Ulam property	7
Faster quantum computation with permutations and resonant couplings	7
Rank-one perturbations of matrix pencils	7
On maximum volume submatrices and cross approximation for symmetric semidefinite and diagonally dominant matrices	7
Oriented graphs determined by their generalized skew spectrum	7
Gain-line graphs via G-phases and group representations	7
O(n)-invariant Riemannian metrics on SPD matrices	7
Half Riordan array sequences	7
On a conjecture about maximum scattered subspaces of F	7
The d-Majorization Polytope	7
Transposed Poisson structures on Block Lie algebras and superalgebras	7
On the identifiability of ternary forms	7
Anderson's theorem and A-spectral radius bounds for semi-Hilbertian space operators	7
Notes on Markov embedding	7
Eigenvalues and eigenvectors of a class of irreducible tridiagonal matrices	7
Cellularity of centrosymmetric matrix algebras and Frobenius extensions	7
Representations of the rank two Racah algebra and orthogonal multivariate polynomials	7
Randomized QLP decomposition	7
Density of free modules over finite chain rings	7
On unimodular multilinear forms with small norms on sequence spaces	6
Classes of nonbipartite graphs with reciprocal eigenvalue property	6
Invariant tolerance relations on positive definite matrices	6
On the Floquet analysis of commutative periodic Lindbladians in finite dimension	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
Equivalence of slice semi-regular functions via Sylvester operators	6
On parallel sum of operators	6
Ordering the maxima of L-index and Q-index: Graphs with given size and diameter	6
A quadrature framework for solving Lyapunov and Sylvester equations	6
The Terwilliger algebra of the Grassmann scheme J(N,D) revisited from the viewpoint of the quantum affine algebra	6
Adjacency spectra of random and complete hypergraphs	6
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
Rational Krylov and ADI iteration for infinite size quasi-Toeplitz matrix equations	6
Integral equienergetic non-isospectral unitary Cayley graphs	6
On a theorem of Godsil and McKay concerning the construction of cospectral graphs	6
Godsil-McKay switching for mixed and gain graphs over the circle group	6
A generalization of Fiedler's lemma and the spectra of H-join of graphs	6
Distance spectral radius of trees with given number of segments	6
Complex unit gain graphs with exactly one positive eigenvalue	6
Maximizing the A-spectral radius of graphs with given size and diameter	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 connected graphs of order n with girth g and nullity n − g	6
Gateaux derivative of C⁎ norm	6
Singular Sylvester equation in Banach spaces and its applications: Fredholm theory approach	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
Laplacian eigenvalue distribution and graph parameters	6
On the Smith normal form of walk matrices	6
The distance eigenvalues of the complements of unicyclic graphs	6
On maps preserving Lie products equal to a rank-one nilpotent	6
Convex cones in mapping spaces between matrix algebras	6
Accurate computations of eigenvalues of quasi-Cauchy-Vandermonde matrices	6
On the multiplicity of positive eigenvalues of a graph	6
Bounds on Kronecker coefficients via contingency tables	6
The asymptotic value of energy for matrices with degree-distance-based entries of random graphs	6
Convex and expansive liftings close to two-isometries and power bounded operators	6
Spectra of quaternion unit gain graphs	6
Joins of hypergraphs and their spectra	5
On the distance spectrum of minimal cages and associated distance biregular graphs	5
Swift chiral quantum walks	5
Unitarily invariant norm inequalities for positive semidefinite matrices	5
On the size of the set of unbounded multilinear operators between Banach spaces	5
Inversion of operator pencils on Banach space using Jordan chains when the generalized resolvent has an isolated essential singularity	5
On the spectra of some g-circulant matrices and applications to nonnegative inverse eigenvalue problem	5
On the second largest distance eigenvalue of a block graph	5
On circulant like matrices properties involving Horadam, Fibonacci, Jacobsthal and Pell numbers	5
On the zeros of a quaternionic polynomial with restricted coefficients	5
The Karcher mean of linearly independent triples	5
Updating structured matrix pencils with no spillover effect on unmeasured spectral data and deflating pair	5
A note on the multiplicities of the eigenvalues of a tree	5
Effective resistance is more than distance: Laplacians, Simplices and the Schur complement	5
Weak majorization, doubly substochastic maps, and some related inequalities in Euclidean Jordan algebras	5

Scaffolds: A graph-theoretic tool for tensor computations related to Bose-Mesner algebras	5
Weighted means of B-splines, positivity of divided differences, and complete homogeneous symmetric polynomials	5
On the multiplicities of normalized Laplacian eigenvalues of graphs	5
A spectral condition for odd cycles in non-bipartite graphs	5
Maximizing the signless Laplacian spectral radius of k-connected graphs with given diameter	5
The spectrum of a class of uniform hypergraphs	5
Approximate orthogonality in normed spaces and its applications II	5
Root vectors of polynomial and rational matrices: Theory and computation	5
On nonsingularity of circulant matrices	5
The Rényi power means of matrices	5
The Braess' paradox for pendent twins	5
On the gap between deterministic and probabilistic joint spectral radii for discrete-time linear systems	5
Complete positivity and self-adjointness	5
On the walk matrix of the Dynkin graph D	5
Automorphisms and derivations of algebras of infinite matrices	5
A Coxeter spectral classification of positive edge-bipartite graphs II. Dynkin type 5
Lower bounds for the Aα	5
Blind deconvolution of covariance matrix inverses for autoregressive processes	5
Extremal spectral radius of graphs with rank 4	5
On minimal decompositions of low rank symmetric tensors	5
Connectivity and eigenvalues of graphs with given girth or clique number	5
An inverse formula for the distance matrix of a wheel graph with an even number of vertices	5
No signed graph with the nullity η(G,σ)=|V(G)| − 2m(G)+2c(G)−1	5
Testing copositivity via mixed–integer linear programming	5
Proof of a conjecture on distance energy change of complete multipartite graph due to edge deletion	5
A geometric approach to numerical radius inequalities	5
Two complementary block Macaulay matrix algorithms to solve multiparameter eigenvalue problems	5
Elements of finite order in the Riordan group and their eigenvectors	5
A reduction formula for the characteristic polynomial of hypergraph with pendant edges	5
Resistance distance and spanning 2-forest matrices of linear 2-trees	5
Bounded rank perturbations of regular pencils over arbitrary fields	5
The bipartite distance matrix of a nonsingular tree	5
Graphical designs and extremal combinatorics	5
Some new inequalities for the Hadamard product of nonnegative matrices	5
Bounds for the rank of a complex unit gain graph in terms of its maximum degree	5
Revisiting a sharpened version of Hadamard's determinant inequality	5
Transposed Poisson structures on Witt type algebras	5
The images of polynomials on 3 × 3 upper triangular matrix algebras	4
Structure of centralizer matrix algebras	4
Nonlinear invertibility preserving maps on matrix algebras	4
A unified construction of all the hypergeometric and basic hypergeometric families of orthogonal polynomial sequences	4
The strong spectral property for graphs	4
Spectral invariants for finite dimensional Lie algebras	4
The signless Laplacian spectral radius of graphs with forbidding linear forests	4
The Hafnian Master Theorem	4
On the sparseness of certain linear MRD codes	4
When is every matrix over a ring the sum of two tripotents?	4
Bilinear factorizations subject to monomial equality constraints via tensor decompositions	4
The critical point and the p-norm of the Hilbert L-matrix	4
Yet another criterion for the total positivity of Riordan arrays	4
Joins of circulant matrices	4
A gradient system approach for Hankel structured low-rank approximation	4
On the difference of energies of a graph and its complement graph	4
Linear converters of weak, directional and strong majorizations	4
Distinguishability of the descriptor systems with regular pencil	4
Low Phase-Rank Approximation	4
Spectra of rank-one perturbations of self-adjoint operators	4
Some lower bounds for the energy of graphs	4
Anticodes in the sum-rank metric	4
Locally finite coalgebras and the locally nilpotent radical I	4
Every nonsingular spherical Euclidean distance matrix is a resistance distance matrix	4
The A-spread of a graph	4
A multilevel approach to stochastic trace estimation	4
Minimal-norm static feedbacks using dissipative Hamiltonian matrices	4
Theory and applications of linearized multivariate skew polynomials	4
Determinantal conditions for homomorphic sensing	4
Nonderogatory matrices as sums of idempotent and nilpotent matrices	4
The main eigenvalues of signed graphs	4
Non-abelian extensions of Rota-Baxter Lie algebras and inducibility of automorphisms	4
Admissibility and frame homotopy for quaternionic frames	4
A graphical calculus for integration over random diagonal unitary matrices	4
Matrix Waring problem	4
Constraints for the spectra of generators of quantum dynamical semigroups	4
Algorithms for indefinite linear least squares problems	4
Spherical (t,t)-designs with a small number of vectors	4
Connectivity for quantum graphs	4
Inverse maximal eigenvalues problems for Leslie and doubly Leslie matrices	4
Eigenvalues and chromatic number of a signed graph	4
On two geometric means and sum of adjoint orbits	4
Sign patterns that allow algebraic positivity	4
Diagonalizable higher degree forms and symmetric tensors	4
Convexity of the Berezin range	4
The multiplicity of eigenvalues of trees	4
Generation of the symplectic group by involutions	4
A bound on the spectral radius of graphs in terms of their Zagreb indices	4
Schur analysis of matricial Hausdorff moment sequences	4
Vertex-connectivity, chromatic number, domination number, maximum degree and Laplacian eigenvalue distribution	4
Decompositions of matrices over division algebras into products of commutators	4
On the solvability of interval max-min matrix equations	4
A matrix inequality for entanglement distillation problem	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
Congruence subgroups and orthogonal groups	4
A classical proof that the algebraic homotopy class of a rational function is the residue pairing	4
On the Terwilliger algebra of distance-biregular graphs	4