Linear & Multilinear Algebra

Article	Citations
Some improvements of numerical radius inequalities of operators and operator matrices	23
Norm and numerical radius inequalities for Hilbert space operators	18
On nonlinear Lie centralizers of generalized matrix algebras	17
Relation between the inertia indices of a complex unit gain graph and those of its underlying graph	15
Some A-numerical radius inequalities for semi-Hilbertian space operators	15
Remarks on the structure of C-normal operators	15
Threshold of discrete Schrödinger operators with delta potentials on n-dimensional lattice	14
Extension of Moore–Penrose inverse of tensor via Einstein product	13
On the classification of bilinear maps with radical of a fixed codimension	13
New estimates for the numerical radius of Hilbert space operators	13
Numerical radii of accretive matrices	13
On ?-numerical radius inequalities for 2 × 2 operator matrices	11
Generalizations of singular value decomposition to dual-numbered matrices	11
The least-squares solution with the least norm to a system of tensor equations over the quaternion algebra	11
-(bi)derivations and transposed Poisson algebra structures on Lie algebras	11
Characterizations and representations for the CMP inverse and its application	10
A study of symmetric points in Banach spaces	9
On the adjacency matrix of a complex unit gain graph	9
A new modification of Gamma operators with a better error estimation	9
On the spectral radius and the energy of eccentricity matrices of graphs	9
On distance signless Laplacian spectrum of graphs and spectrum of zero divisor graphs of ℤn	9
Derivations of evolution algebras associated to graphs over a field of any characteristic	8
Bounds on the Reciprocal distance energy and Reciprocal distance Laplacian energies of a graph	8
Solving system of nonlinear matrix equations over Hermitian positive definite matrices	8
On the power graphs of certain finite groups	7

On the matrix version of extended Bessel functions and its application to matrix differential equations	7
Domain of generalized difference operator Δ i 3 of order three on the hahn sequence space h and matrix transfor	7
Liftings and extensions of operators in Brownian setting	7
On the p-numerical radii of Hilbert space operators	7
Verified computation of matrix gamma function	7
Fourth-order tensor Riccati equations with the Einstein product	7
Strict positivity and D-majorization	7
Characterization of extreme contractions through k-smoothness of operators	7
Approximation by modified q-Gamma type operators via A-statistical convergence and power series method	7
On degenerate gamma matrix functions and related functions	6
An extremal problem on Q-spectral radii of graphs with given size and matching number	6
Note on subdirect sums of SDD(p) matrices	6
Characterization of k-smoothness of operators defined between infinite-dimensional spaces	6
Sharper bounds for the numerical radius	6
A-numerical radius and A-norm inequalities for semi-Hilbertian space operators	6
Closed operators in semi-Hilbertian spaces	6
An efficient method for least-squares problem of the quaternion matrix equationX-AX̂B=C	6
Fixing number and metric dimension of a zero-divisor graph associated with a ring	6
Some operator inequalities via convexity	6
On Schur complements of Dashnic–Zusmanovich type matrices	6
On the sequence spaces involving bell numbers	6
One-sided w-core inverses in rings with an involution	6
Spectral property of upper triangular relation matrices	6
The spanning k-trees, perfect matchings and spectral radius of graphs	6
Rank decomposition and symmetric rank decomposition over arbitrary fields	5
Universal enveloping of (modified) λ-differential Lie algebras	5
The QLY least-squares and the QLY least-squares minimal-norm of linear dual least squares problems	5
Singular value and norm inequalities for positive semidefinite matrices	5
Chain graph sequences and Laplacian spectra of chain graphs	5
On spectral spread of generalized distance matrix of a graph	5
A novel numerical radius upper bounds for 2 × 2 operator matrices	5
Maps preserving some spectral domains of operator products	5
Markov evolution algebras	5
Corrigendum to ‘Degenerations of Zinbiel and nilpotent Leibniz algebras’	5
Rota–Baxter operators of nonzero weight on the matrix algebra of order three	5
Characterizations of Lie centralizers of triangular algebras	5
On tensor tubal-Krylov subspace methods	5
On graphs with strong anti-reciprocal eigenvalue property	5
Local derivations on Witt algebras	5
Central extensions of filiform Zinbiel algebras	5
Bounds of M-eigenvalues and strong ellipticity conditions for elasticity tensors	5
Lotka–Volterra coalgebras	5
A matrix approach to a general partitioned linear model with partial parameter restrictions	5
A novel conservative matrix arising from Schröder numbers and its properties	5
On capability and the Schur multiplier of some nilpotent Lie superalgebras	4
Inequalities on 2 × 2 block positive semidefinite matrices	4
GDMP-inverses of a matrix and their duals	4
On the Aα spectral radius of digraphs with given parameters	4
Decompositions of matrices into diagonalizable and square-zero matrices	4
Structured backward errors for two kinds of generalized saddle point systems	4

Generalized Euclidean distance matrices	4
Cartesian decomposition of C-normal operators	4
On the numerical index of absolute symmetric norms on the plane	4
Some numerical radius inequality for several semi-Hilbert space operators	4
A new approach for computing the inverse of confluent Vandermonde matrices via Taylor's expansion	4
Multiplicative Lie derivations on triangular n-matrix rings	4
Some properties of eigenvalues of the Seidel matrix	4
On the extreme eigenvalues and asymptotic conditioning of a class of Toeplitz matrix-sequences arising from fractional problems	4
Inverse of the adjacency matrices and strong anti-reciprocal eigenvalue property	4
Inverses of non-bipartite unicyclic graphs with a unique perfect matching	4
On the relation between the adjacency rank of a complex unit gain graph and the matching number of its underlying graph	4
On graphs with three distinct signless Laplacian eigenvalues	4
Higher rank matricial ranges and hybrid quantum error correction	4
The Moore-Penrose inverses of split quaternions	4
Core and strongly core orthogonal matrices	4
The formation and portraits of subspaceFa-frames	4
Derivations and Biderivations of the Schrödinger algebra in (n + 1)-dimensional space-time	4
Orthogonality of sesquilinear forms and spaces of operators	4
Extensions of the arithmetic–geometric means and Young's norm inequalities to accretive operators, with applications	4
The minimum spectral radius of the r-uniform supertree having two vertices of maximum degree	4
On the spectrum of the closed unit graphs	4
A circulant preconditioner for the Riesz distributed-order space-fractional diffusion equations	4
Extremal hitting times of trees with some given parameters	4
Stability and distance to instability for polynomial matrix families. Complex perturbations	4
Spectral theory of weighted hypergraphs via tensors	3
Cayley graphs of dihedral groups having perfect edge state transfer	3
On best coapproximations in subspaces of diagonal matrices	3
Left m-invertibility by the adjoint of Drazin inverse and m-selfadjointness of Hilbert spaces	3
Maps preserving some spectral domains of skew products of operators	3
LCP of matrix product codes	3
On matrices whose Moore–Penrose inverse is idempotent	3
On some 4-by-4 matrices with bi-elliptical numerical ranges	3
A periodic determinantal property for (0,1) double banded matrices	3
The evolution operator of evolution algebras	3
Fractional matching number and spectral radius of nonnegative matrices of graphs	3
Closedness of the k-numerical range	3
Higher-distance commuting varieties	3
On the strength of general polynomials	3
Some bounds on the Aα-index of connected graphs with fixed order and size	3
The effect on Aα-eigenvalues of mixed graphs and unit gain graphs by adding edges in clusters	3
Controllability of NEPSes of graphs	3
Inequalities and limits of weighted spectral geometric mean	3
The change of Seidel energy of tripartite Turán graph due to edge deletion	3
On the solutions of the operator equation XAX  =  BX	3
Perfect quantum state transfer on Cayley graphs over semi-dihedral groups	3
Distance powers of integral Cayley graphs over dihedral groups and dicyclic groups	3
On distance matrices of wheel graphs with an odd number of vertices	3
The Re-nnd and Re-pd solutions to the matrix equationsAX = C,XB = D	3
Remarks on complex symmetric Toeplitz operators	3
On centres and direct sum decompositions of higher degree forms	3
The Berkani's property and a note on some recent results	3
Drazin invertibility, characterizations and structure of polynomially normal operators	3
A new characterization of the operator perspective	3
A note on double weak splittings of type II	3
Spherical Aluthge transform, sphericalpandlog-hyponormality of commuting pairs of operators	3
A note on numerical ranges of tensors	3
Asymmetric Choi–Davis inequalities	3
On the spectra and eigenspaces of the universal adjacency matrices of arbitrary lifts of graphs	3
Weak group inverses and partial isometries in proper *-rings	3
Classification of edges in a general graph associated with the change in multiplicity of an eigenvalue	3
Central extensions and conformal derivations of a class of Lie conformal algebras	3
The normalized Laplacian spectrum of n -polygon graphs and applications	3
Local centrally essential subalgebras of triangular algebras	3
A modified generalized SOR-like method for solving an absolute value equation	3
The construction of braided tensor categories from Hopf braces	3
On the numerical range of some block matrices with scalar diagonal blocks	3
Identifiability of linear compartmental models: the effect of moving inputs, outputs, and leaks	3
Explicit determination of three invariants associated with random walks on n-prism networks	3
Separability of Hermitian tensors and PSD decompositions	3
Embedding of sign-regular signed graphs and its spectral analysis	3
Some new results on the core partial order	3
2-Local superderivations on the Lie superalgebra of Block type	3
On the Lie triple derivations	3
Distance matrix of a multi-block graph: determinant and inverse	3
On the generalized adjacency spectral radius of digraphs	3
Norm inequalities for positive definite matrices related to a question of Bourin	3
On Kemeny's constant for trees with fixed order and diameter	3
A proof of Anđelić-Fonseca conjectures on the determinant of some Toeplitz matrices and their generalization	3
Finite-dimensional irreducible modules of the universal DAHA of type (C1∨,C1)	3
Gelfand-Kirillov dimension of bicommutative algebras	3

Resistance matrices of balanced directed graphs	2
GIBS: a general and efficient iterative method for computing the approximate inverse and Moore–Penrose inverse of sparse matrices based on the Schultz iterative method with applications	2
Laplacian state transfer in edge coronas	2
On Hardy type inequalities in grand Lebesgue spacesLp)for 0 <p≤ 1	2
Core–EP orthogonal operators	2
On some properties of vector space based graphs	2
On the regularization of convolutional kernel tensors in neural networks	2
Generalized spectral characterization of rooted product graphs	2
On some tensor inequalities based on the t-product	2
Spectral radii of friendship graphs and their connected induced subgraphs	2
Polynomial eigenvalue estimation: numerical radii versus norms	2
Numerical index of vector-valued function spaces	2
Minimal completion of I × I doubly substochastic matrices	2
Modulus-based matrix splitting iteration methods with new splitting scheme for horizontal implicit complementarity problems	2
On a conjecture related to the smallest signless Laplacian eigenvalue of graphs	2
Methods of Gauss–Jordan elimination to compute core inverse and dual core inverse	2
On the closure of absolutely norm attaining operators	2
Fredholm theory in quaternionic Banach algebras	2
Lie σ-derivations of triangular algebras	2
CFI upper triangular operator matrices	2
Modified block product preconditioner for a class of complex symmetric linear systems	2
A randomised iterative method for solving factorised linear systems	2
Characters of 2-layered Heisenberg groups	2
On the restricted numerical range of the Laplacian matrix for digraphs	2
Extremal realization spectra by two acyclic matrices whose graphs are caterpillars	2
A bijective proof of generalized Cauchy–Binet, Laplace, Sylvester and Dodgson formulas	2
The algebraic classification of nilpotent ℭ?-algebras	2
Trees with the reciprocal eigenvalue property	2
On contact brackets on the tensor product	2
On the zero entries in a unitary matrix	2
Further refinements of the Berezin number inequalities on operators	2
Iterative hard thresholding for low CP-rank tensor models	2
On the matrix Heron means and Rényi divergences	2
On the multiplicity of −1 as an eigenvalue of a tree with given number of pendant vertices	2
Determinants of some special matrices	2
On the spectrum of fractional difference operator	2
Three-term recurrence relation coefficients and continued fractions related to orthogonal matrix polynomials on the finite interval [a, b]	2
Higher order ergodic Markov chains and first passage times	2
Further inequalities involving the weighted geometric operator mean and the Heinz operator mean	2
Real Schur norms and Hadamard matrices	2
Laplacian eigenvalues of equivalent cographs	2
Least-squares bihermitian and skew bihermitian solutions of the quaternion matrix equationAXB = C	2
Level numbers of a bounded linear operator between normed linear spaces and singular value decomposition revisited	2
From norm derivatives to orthogonalities in Hilbert C*-modules	2
Linear transformations preserving algebraic elements of degree 2	2
Matchings in graphs from the spectral radius	2
The equation X⊤AX=B with B skew-symmetric: how much of a bilinear form is skew-symmetric?	2
Revisit on spectral geometric mean	2
Linear Lie centralizers of the algebra of dominant block upper triangular matrices	2
New log-majorization results concerning eigenvalues and singular values and a complement of a norm inequality	2
On the range of upper triangular relation matrices	2
Stability of unique Hahn–Banach extensions and associated linear projections	2
Generalized parallel sum of adjointable operators on Hilbert C*-modules	2
On cospectral oriented graphs and cospectral signed graphs	2
The line graph of the crown graph is distance integral	2
Weighted Reed–Solomon convolutional codes	2
Multivariate Hasse–Schmidt derivation on exterior algebras	2
On the lengths of matrix incidence algebras with radicals of square zero	2
On the smallest eigenvalue of Dα-matrix of connected graphs	2
On regular graphs equienergetic with their complements	2
Spectra of the spherical Aluthge transform, the linear pencil, and a commuting pair of operators	2
Reflexivity of sets of isometries on bounded variation function spaces	2
Extremal matrices for the Bruhat-graph order	2
Approximate orthogonality in complex normed spaces: a directional approach	2
Lie identities and images of Lie polynomials for the skew-symmetric elements of UTm	2
C *-module operators which satisfy the generalized Cauchy–Schwarz type inequality	2
Generalized Paley graphs equienergetic with their complements	2
Some log and weak majorization inequalities in Euclidean Jordan algebras	2
Orthogonality preserving pairs of operators on Hilbert C0(Z)-modules	2
The numerical index of ℓp2	2
Sensitivity analysis for the generalized Cholesky block downdating problem	2
The generalized distance spectrum of a graph and applications	2
Biderivations and strong commutativity-preserving maps on parabolic subalgebras of simple Lie algebras	2
On the Davis–Wielandt radius inequalities of Hilbert space operators	2
Local derivations on the Witt algebra in prime characteristic	2
A new almost convergent sequence space defined by Schröder matrix	2
Abelian subalgebras and ideals of maximal dimension in supersolvable and nilpotent lie algebras	2
Local derivations on the Lie algebra W (2, 2)	2
Regular factorizations and group inverses of linear operators in Banach spaces	2
Structured strong linearizations of structured rational matrices	2
Triangular idempotent matrices over a general ring	2
Block full rank linearizations of rational matrices	2
Derivations of triangular matrix rings	2
Two-local isometries on vector-valued differentiable functions	2
The linear algebra of a Pascal-like matrix	2
An open set of 4×4 embeddable matrices whose principal logarithm is not a Markov generator	2
Perfect state transfer on semi-Cayley graphs over abelian groups	2
Graphs of commutatively closed sets	2
Stability of deficiency indices of Hermitian subspaces under relatively bounded perturbations	2
On the spectral radius and energy of digraphs	2
The inverse of the incidence matrix of a unicyclic graph	2
Orthogonal decomposition of tensor trains	2
Energies of complements of unitary one-matching bi-Cayley graphs over commutative rings	2
Tensor product modules over the twisted Heisenberg–Virasoro algebra	2
Convex functions on topological modules	2