Linear Algebra and Its Applications

Article	Citations
Generalized tensor function via the tensor singular value decomposition based on the T-product	64
Seminorm and numerical radius inequalities of operators in semi-Hilbertian spaces	35
Spectral radius and matchings in graphs	27
The signless Laplacian spectral radius of graphs with a prescribed number of edges	25
Development of inequalities and characterization of equality conditions for the numerical radius	23
On the phases of a complex matrix	22
On the spectrum of hypergraphs	21
Convolutional proximal neural networks and Plug-and-Play algorithms	20
MRD-codes arising from the trinomial xq<	19
High-order tensor estimation via trains of coupled third-order CP and Tucker decompositions	17
Rank of a Hadamard product	17
Column subset selection is NP-complete	16
Bounds on the ABC spectral radius and ABC energy of graphs	16
On the number of roots of some linearized polynomials	16
Refined and generalized numerical radius inequalities for 2 × 2 operator matrices	15
Hoffman's ratio bound	15
On tuples of commuting operators in positive semidefinite inner product spaces	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
Better bounds on the numerical radii of Hilbert space operators	13
Exact recovery in the hypergraph stochastic block model: A spectral algorithm	13
Energy of a graph and Randic index	13
A sharp upper bound on the spectral radius of C5-free /C6-free graphs with given size	13
On the smallest singular value of multivariate Vandermonde matrices with clustered nodes	13
A generalization of irreducibility and diagonal dominance with applications to horizontal and vertical linear complementarity problems	13

Trees with extremal spectral radius of weighted adjacency matrices among trees weighted by degree-based indices	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
On greedy randomized block Kaczmarz method for consistent linear systems	13
Perturbation expansions and error bounds for the truncated singular value decomposition	12
On generalized distance energy of graphs	12
The A-spectral radius of graphs with a prescribed number of edges for1	12
Phase-isometries between normed spaces	12
Block Gram-Schmidt algorithms and their stability properties	12
Metrics induced by Jensen-Shannon and related divergences on positive definite matrices	12
A relation between a vertex-degree-based topological index and its energy	11
The spectral properties of Vandermonde matrices with clustered nodes	11
Further developments on Brouwer's conjecture for the sum of Laplacian eigenvalues of graphs	11
A study on T-eigenvalues of third-order tensors	11
Universal spectra of the disjoint union of regular graphs	11
On convergence rate of the randomized Gauss-Seidel method	11
Another generalization of the numerical radius for Hilbert space operators	11
On the ABC spectra radius of unicyclic graphs	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
On the multiplicity of an arbitrary A-eigenvalue of a connected graph	10
Periodicity of lively quantum walks on cycles with generalized Grover coin	10
Spectral extremal graphs for intersecting cliques	10
Characterizations of Jordan *-isomorphisms of C⁎-algebras by weighted geometric mean related operations and quantities	10
Geometric and combinatorial aspects of submonoids of a finite-rank free commutative monoid	10
The spectral Turán problem about graphs with no 6-cycle	9
Two sufficient conditions for odd [1,b]-factors in graphs	9
The signless Laplacian spectral radius of graphs with no intersecting triangles	9
Local linearizations of rational matrices with application to rational approximations of nonlinear eigenvalue problems	9
Signless Laplacian spectral conditions for Hamilton-connected graphs with large minimum degree	9
CKV-type matrices with applications	9
Degree-based energies of trees	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
Approximation with a Kronecker product structure with one component as compound symmetry or autoregression via entropy loss function	8
Signed distance in signed graphs	8
On the Rellich eigendecomposition of para-Hermitian matrices and the sign characteristics of ⁎-palindromic matrix polynomials	8
A conjecture on the spectral radius of graphs	8
The rank of a complex unit gain graph in terms of the matching number	8
The α-z-Bures Wasserstein divergence	8
Single-pass randomized algorithms for LU decomposition	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
Every non-smooth 2-dimensional Banach space has the Mazur–Ulam property	8
Perfect state transfer on oriented graphs	8
Signless Laplacian spectral radius of graphs without short cycles or long cycles	8
Characterizing cospectral vertices via isospectral reduction	8
Complex unit gain graphs of rank 2	8

On the Laplacian spectra of token graphs	8
On the identifiability of ternary forms	7
Cospectrality preserving graph modifications and eigenvector properties via walk equivalence of vertices	7
On a conjecture about maximum scattered subspaces of F	7
Notes on Markov embedding	7
The d-Majorization Polytope	7
Half Riordan array sequences	7
Representations of the rank two Racah algebra and orthogonal multivariate polynomials	7
On maximum volume submatrices and cross approximation for symmetric semidefinite and diagonally dominant matrices	7
Density of free modules over finite chain rings	7
A non-commutative Bayes' theorem	7
Numerically and spectrally optimal dual frames in Hilbert spaces	7
Further characterizations of the co-EP matrices	7
Every 2-dimensional Banach space has the Mazur–Ulam property	7
Extended randomized Kaczmarz method for sparse least squares and impulsive noise problems	7
The extremal α-index of graphs with no 4-cycle and 5-cycle	7
On the graph Laplacian and the rankability of data	7
Oriented graphs determined by their generalized skew spectrum	7
Cellularity of centrosymmetric matrix algebras and Frobenius extensions	7
Upper Hessenberg and Toeplitz Bohemians	7
Faster quantum computation with permutations and resonant couplings	7
Eigenvalues and eigenvectors of a class of irreducible tridiagonal matrices	7
The A-spectral radius and perfect matchings of graphs	7
On the A-spectral radius of graphs with given size and diameter	7
On preservers related to the spectral geometric mean	7
Every real symplectic matrix is a product of real symplectic involutions	6
On a theorem of Godsil and McKay concerning the construction of cospectral graphs	6
Saturated configuration and new large construction of equiangular lines	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
Complex unit gain graphs with exactly one positive eigenvalue	6
On maps preserving Lie products equal to a rank-one nilpotent	6
Distance spectral radius of trees with given number of segments	6
On the Smith normal form of walk matrices	6
Periodicity of quantum walks defined by mixed paths and mixed cycles	6
Adjacency spectra of random and complete hypergraphs	6
A quadrature framework for solving Lyapunov and Sylvester equations	6
Transposed Poisson structures on Block Lie algebras and superalgebras	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
On unimodular multilinear forms with small norms on sequence spaces	6
Integral equienergetic non-isospectral unitary Cayley graphs	6
On the Floquet analysis of commutative periodic Lindbladians in finite dimension	6
Invariant tolerance relations on positive definite matrices	6
Accurate computations of eigenvalues of quasi-Cauchy-Vandermonde matrices	6
A refinement of A-Buzano inequality and applications to A-numerical radius inequalities	6
On parallel sum of operators	6
On cardinality of complementarity spectra of connected graphs	6
Bounds on Kronecker coefficients via contingency tables	6
Randomized QLP decomposition	6
The asymptotic value of energy for matrices with degree-distance-based entries of random graphs	6
Orthogonality of bilinear forms and application to matrices	6
Asymptotic values of four Laplacian-type energies for matrices with degree-distance-based entries of random graphs	6
Singular Sylvester equation in Banach spaces and its applications: Fredholm theory approach	6
On some properties of the α-spectral radius of the k-uniform hypergraph	6
Convex cones in mapping spaces between matrix algebras	6
Extremal graphs for Estrada indices	6
The distance eigenvalues of the complements of unicyclic graphs	6
Equivalence of slice semi-regular functions via Sylvester operators	6
Rank-one perturbations of matrix pencils	6
On the multiplicity of positive eigenvalues of a graph	6
The Terwilliger algebra of the Grassmann scheme J(N,D) revisited from the viewpoint of the quantum affine algebra	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
Gateaux derivative of C⁎ norm	6
Root vectors of polynomial and rational matrices: Theory and computation	5
On the multiplicities of normalized Laplacian eigenvalues of graphs	5
On nonsingularity of circulant matrices	5
The Rényi power means of matrices	5
Proof of a conjecture on distance energy change of complete multipartite graph due to edge deletion	5
Laplacian eigenvalue distribution and graph parameters	5
An inverse formula for the distance matrix of a wheel graph with an even number of vertices	5
Relations between the inertia indices of a mixed graph and those of its underlying graph	5
On circulant like matrices properties involving Horadam, Fibonacci, Jacobsthal and Pell numbers	5
On the walk matrix of the Dynkin graph D	5
On connected graphs of order n with girth g and nullity n − g	5
A note on the multiplicities of the eigenvalues of a tree	5
On the size of the set of unbounded multilinear operators between Banach spaces	5
Revisiting a sharpened version of Hadamard's determinant inequality	5
Blind deconvolution of covariance matrix inverses for autoregressive processes	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
Connectivity and eigenvalues of graphs with given girth or clique number	5
A spectral condition for odd cycles in non-bipartite graphs	5
Weighted means of B-splines, positivity of divided differences, and complete homogeneous symmetric polynomials	5
No signed graph with the nullity η(G,σ)=|V(G)| − 2m(G)+2c(G)−1	5
On the distance spectrum of minimal cages and associated distance biregular graphs	5
Elements of finite order in the Riordan group and their eigenvectors	5
On the spectra of some g-circulant matrices and applications to nonnegative inverse eigenvalue problem	5
On the gap between deterministic and probabilistic joint spectral radii for discrete-time linear systems	5
The Braess' paradox for pendent twins	5
Ordering the maxima of L-index and Q-index: Graphs with given size and diameter	5
Complete positivity and self-adjointness	5
Updating structured matrix pencils with no spillover effect on unmeasured spectral data and deflating pair	5
Automorphisms and derivations of algebras of infinite matrices	5
Bounds for the rank of a complex unit gain graph in terms of its maximum degree	5
O(n)-invariant Riemannian metrics on SPD matrices	5
Extremal spectral radius of graphs with rank 4	5
Anderson's theorem and A-spectral radius bounds for semi-Hilbertian space operators	5
On minimal decompositions of low rank symmetric tensors	5
Joins of hypergraphs and their spectra	5
Maximizing the A-spectral radius of graphs with given size and diameter	5
A generalization of Fiedler's lemma and the spectra of H-join of graphs	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 second largest distance eigenvalue of a block graph	5
The spectrum of a class of uniform hypergraphs	5
A generalized ordered Bell polynomial	5
Convex and expansive liftings close to two-isometries and power bounded operators	5
Extensions of Hartfiel's inequality to multiple matrices	5
A reduction formula for the characteristic polynomial of hypergraph with pendant edges	5
The Karcher mean of linearly independent triples	5
A Coxeter spectral classification of positive edge-bipartite graphs II. Dynkin type 5
Some new inequalities for the Hadamard product of nonnegative matrices	5
Effective resistance is more than distance: Laplacians, Simplices and the Schur complement	5
Gain-line graphs via G-phases and group representations	5
Classes of nonbipartite graphs with reciprocal eigenvalue property	5
Low Phase-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
Constraints for the spectra of generators of quantum dynamical semigroups	4
Spectra of quaternion unit gain graphs	4
Quantum divergences with p-power means	4
Bounded rank perturbations of regular pencils over arbitrary fields	4
Theory and applications of linearized multivariate skew polynomials	4
Convexity of the Berezin range	4
The critical point and the p-norm of the Hilbert L-matrix	4
Sign patterns that allow algebraic positivity	4
Non-abelian extensions of Rota-Baxter Lie algebras and inducibility of automorphisms	4
The main eigenvalues of signed graphs	4
Nonderogatory matrices as sums of idempotent and nilpotent matrices	4
Graphical designs and extremal combinatorics	4
Admissibility and frame homotopy for quaternionic frames	4
On Ward's differential calculus, Riordan matrices and Sheffer polynomials	4
The multiplicity of eigenvalues of trees	4
Spherical (t,t)-designs with a small number of vectors	4
Algorithms for indefinite linear least squares problems	4
On the Terwilliger algebra of distance-biregular graphs	4
Connectivity for quantum graphs	4
Spectra of rank-one perturbations of self-adjoint operators	4
Some lower bounds for the energy of graphs	4
On two geometric means and sum of adjoint orbits	4
Locally finite coalgebras and the locally nilpotent radical I	4
Minimal-norm static feedbacks using dissipative Hamiltonian matrices	4
A matrix inequality for entanglement distillation problem	4
The A-spread of a graph	4
The Hafnian Master Theorem	4
Bilinear factorizations subject to monomial equality constraints via tensor decompositions	4
On the solvability of interval max-min matrix equations	4
Joins of circulant matrices	4
Godsil-McKay switching for mixed and gain graphs over the circle group	4
A graphical calculus for integration over random diagonal unitary matrices	4
The bipartite distance matrix of a nonsingular tree	4
Some numerical radius inequality for several operators	4
A gradient system approach for Hankel structured low-rank approximation	4
Structure of centralizer matrix algebras	4
A classical proof that the algebraic homotopy class of a rational function is the residue pairing	4
Testing copositivity via mixed–integer linear programming	4
The images of polynomials on 3 × 3 upper triangular matrix algebras	4
Congruence subgroups and orthogonal groups	4
Anticodes in the sum-rank metric	4
Every nonsingular spherical Euclidean distance matrix is a resistance distance matrix	4
The role of the anti-regular graph in the spectral analysis of threshold graphs	4
The signless Laplacian spectral radius of graphs with forbidding linear forests	4
Vertex-connectivity, chromatic number, domination number, maximum degree and Laplacian eigenvalue distribution	4
Generation of the symplectic group by involutions	4
A bound on the spectral radius of graphs in terms of their Zagreb indices	4
On the sparseness of certain linear MRD codes	4
Yet another criterion for the total positivity of Riordan arrays	4
Lower bounds for the Aα	4
When is every matrix over a ring the sum of two tripotents?	4
Decompositions of matrices over division algebras into products of commutators	4
Diagonalizable higher degree forms and symmetric tensors	4
Transposed Poisson structures on Witt type algebras	4
Harmonious projections and Halmos' two projections theorem for Hilbert C⁎-module operators	4
Inverse maximal eigenvalues problems for Leslie and doubly Leslie matrices	4