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	16
Some A-numerical radius inequalities for semi-Hilbertian space operators	15
Relation between the inertia indices of a complex unit gain graph and those of its underlying graph	15
Threshold of discrete Schrödinger operators with delta potentials on n-dimensional lattice	14
Remarks on the structure of C-normal operators	14
Different characterizations of DMP-inverse of matrices	14
On the classification of bilinear maps with radical of a fixed codimension	13
Numerical radii of accretive matrices	12
New estimates for the numerical radius of Hilbert space operators	12
On ?-numerical radius inequalities for 2 × 2 operator matrices	11
Extension of Moore–Penrose inverse of tensor via Einstein product	11
The least-squares solution with the least norm to a system of tensor equations over the quaternion algebra	11
Generalizations of singular value decomposition to dual-numbered matrices	10
Characterizations and representations for the CMP inverse and its application	10
-(bi)derivations and transposed Poisson algebra structures on Lie algebras	10
On the spectral radius and the energy of eccentricity matrices of graphs	10
On distance signless Laplacian spectrum of graphs and spectrum of zero divisor graphs of ℤn	9
Derivations of upper triangular matrix semirings	9
A study of symmetric points in Banach spaces	9
Derivations of evolution algebras associated to graphs over a field of any characteristic	8
On the adjacency matrix of a complex unit gain graph	8
Bounds on the Reciprocal distance energy and Reciprocal distance Laplacian energies of a graph	8
A new modification of Gamma operators with a better error estimation	8

On the matrix version of extended Bessel functions and its application to matrix differential equations	7
Characterization of extreme contractions through k-smoothness of operators	7
Strict positivity and D-majorization	7
Domain of generalized difference operator Δi3 of order three on the hahn sequence space h and matrix transformations	7
On the power graphs of certain finite groups	7
Solving system of nonlinear matrix equations over Hermitian positive definite matrices	7
Verified computation of matrix gamma function	7
Fourth-order tensor Riccati equations with the Einstein product	6
On degenerate gamma matrix functions and related functions	6
Closed operators in semi-Hilbertian spaces	6
Sharper bounds for the numerical radius	6
On Schur complements of Dashnic–Zusmanovich type matrices	6
An extremal problem on Q-spectral radii of graphs with given size and matching number	6
Fixing number and metric dimension of a zero-divisor graph associated with a ring	6
Approximation by modified q-Gamma type operators via A-statistical convergence and power series method	6
A-numerical radius and A-norm inequalities for semi-Hilbertian space operators	6
Liftings and extensions of operators in Brownian setting	6
An efficient method for least-squares problem of the quaternion matrix equationX-AX̂B=C	6
The spanning k-trees, perfect matchings and spectral radius of graphs	6
One-sided w-core inverses in rings with an involution	5
Characterization of k-smoothness of operators defined between infinite-dimensional spaces	5
A novel numerical radius upper bounds for 2 × 2 operator matrices	5
Local derivations on Witt algebras	5
Central extensions of filiform Zinbiel algebras	5
On the p-numerical radii of Hilbert space operators	5
Bounds of M-eigenvalues and strong ellipticity conditions for elasticity tensors	5
A matrix approach to a general partitioned linear model with partial parameter restrictions	5
On spectral spread of generalized distance matrix of a graph	5
On graphs with strong anti-reciprocal eigenvalue property	5
The QLY least-squares and the QLY least-squares minimal-norm of linear dual least squares problems	5
Corrigendum to ‘Degenerations of Zinbiel and nilpotent Leibniz algebras’	5
Lotka–Volterra coalgebras	5
Note on subdirect sums of SDD(p) matrices	5
Spectral property of upper triangular relation matrices	5
On tensor tubal-Krylov subspace methods	5
Maps preserving some spectral domains of operator products	5
Markov evolution algebras	5
Universal enveloping of (modified) λ-differential Lie algebras	5
Rota–Baxter operators of nonzero weight on the matrix algebra of order three	5
The formation and portraits of subspaceFa-frames	4
Multiplicative Lie derivations on triangular n-matrix rings	4
Perfect quantum state transfer on Cayley graphs over semi-dihedral groups	4
Inverse of the adjacency matrices and strong anti-reciprocal eigenvalue property	4
A novel conservative matrix arising from Schröder numbers and its properties	4
Structured backward errors for two kinds of generalized saddle point systems	4
Inverses of non-bipartite unicyclic graphs with a unique perfect matching	4
Extensions of the arithmetic–geometric means and Young's norm inequalities to accretive operators, with applications	4
On graphs with three distinct signless Laplacian eigenvalues	4
On the sequence spaces involving bell numbers	4
A new approach for computing the inverse of confluent Vandermonde matrices via Taylor's expansion	4

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

Spectra of the spherical Aluthge transform, the linear pencil, and a commuting pair of operators	2
On finiteness properties of Noetherian (Artinian) C*-algebras	2
Higher-distance commuting varieties	2
On the spectra and eigenspaces of the universal adjacency matrices of arbitrary lifts of graphs	2
Perturbation analysis for the QX factorization for centrosymmetric matrices	2
Matchings in graphs from the spectral radius	2
Convex functions on topological modules	2
Some bounds on the Aα-index of connected graphs with fixed order and size	2
Least-squares bihermitian and skew bihermitian solutions of the quaternion matrix equationAXB = C	2
Methods of Gauss–Jordan elimination to compute core inverse and dual core inverse	2
Fine gradings and automorphism groups on associative algebras	2
Representations and geometrical properties of generalized inverses over fields	2
Can one identify two unital JB*-algebras by the metric spaces determined by their sets of unitaries?	2
Higher order ergodic Markov chains and first passage times	2
On cospectral oriented graphs and cospectral signed graphs	2
Energies of complements of unitary one-matching bi-Cayley graphs over commutative rings	2
Linear transformations preserving algebraic elements of degree 2	2
Multivariate Hasse–Schmidt derivation on exterior algebras	2
From norm derivatives to orthogonalities in Hilbert C*-modules	2
On a conjecture related to the smallest signless Laplacian eigenvalue of graphs	2
Spectral moments of hypertrees and their applications	2
New log-majorization results concerning eigenvalues and singular values and a complement of a norm inequality	2
Characters of 2-layered Heisenberg groups	2
Lie identities and images of Lie polynomials for the skew-symmetric elements of UTm	2
On the restricted numerical range of the Laplacian matrix for digraphs	2
On the spectral radius and energy of digraphs	2
Laplacian state transfer in edge coronas	2
The algebraic classification of nilpotent ℭ?-algebras	2
The inverse of the incidence matrix of a unicyclic graph	2
Revisit on spectral geometric mean	2
On the smallest eigenvalue of Dα-matrix of connected graphs	2
On the multiplicity of −1 as an eigenvalue of a tree with given number of pendant vertices	2
The line graph of the crown graph is distance integral	2
Spectral radii of friendship graphs and their connected induced subgraphs	2
The linear algebra of a Pascal-like matrix	2
Orthogonality of sesquilinear forms and spaces of operators	2
Tensor product modules over the twisted Heisenberg–Virasoro algebra	2
On some properties of vector space based graphs	2
On the zero entries in a unitary matrix	2
Further refinements of the Berezin number inequalities on operators	2
Core–EP orthogonal operators	2
Local derivations on the Lie algebra W (2, 2)	2
On the matrix Heron means and Rényi divergences	2
Iterative solutions of generalized Sylvester quaternion tensor equations	2
On the Davis–Wielandt radius inequalities of Hilbert space operators	2
Structured strong linearizations of structured rational matrices	2
Numerical index of vector-valued function spaces	2
On the range of upper triangular relation matrices	2
Biderivations and strong commutativity-preserving maps on parabolic subalgebras of simple Lie algebras	2
A periodic determinantal property for (0,1) double banded matrices	2
An open set of 4×4 embeddable matrices whose principal logarithm is not a Markov generator	2
Asymptotics of product of nonnegative 2-by-2 matrices with applications to random walks with asymptotically zero drifts	2
Abelian subalgebras and ideals of maximal dimension in supersolvable and nilpotent lie algebras	2
Stability of deficiency indices of Hermitian subspaces under relatively bounded perturbations	2
Orthogonality preserving pairs of operators on Hilbert C0(Z)-modules	2
The equation X⊤AX=B with B skew-symmetric: how much of a bilinear form is skew-symmetric?	2
Two-local isometries on vector-valued differentiable functions	2
Block full rank linearizations of rational matrices	2
A bijective proof of generalized Cauchy–Binet, Laplace, Sylvester and Dodgson formulas	2
Real Schur norms and Hadamard matrices	2
Graphs of commutatively closed sets	2
Trees with the reciprocal eigenvalue property	2
On the spectrum of fractional difference operator	2
A proof of Anđelić-Fonseca conjectures on the determinant of some Toeplitz matrices and their generalization	2
On contact brackets on the tensor product	2
Local derivations on the Witt algebra in prime characteristic	2
Reflexivity of sets of isometries on bounded variation function spaces	2
C *-module operators which satisfy the generalized Cauchy–Schwarz type inequality	2
Solving p-adic polynomial systems via iterative eigenvector algorithms	2
Sensitivity analysis for the generalized Cholesky block downdating problem	2
Fractional matching number and spectral radius of nonnegative matrices of graphs	2
Resistance matrices of balanced directed graphs	2
Generalized Paley graphs equienergetic with their complements	2
Modulus-based matrix splitting iteration methods with new splitting scheme for horizontal implicit complementarity problems	2
Orthogonal decomposition of tensor trains	2
PseudoS-spectrum in a right quaternionic Hilbert space	2
On some tensor inequalities based on the t-product	2
Remarks on complex symmetric Toeplitz operators	2
Three-term recurrence relation coefficients and continued fractions related to orthogonal matrix polynomials on the finite interval [a, b]	2
Lie σ-derivations of triangular algebras	2
On Hardy type inequalities in grand Lebesgue spacesLp)for 0 <p≤ 1	2
Determinants of some special matrices	2
Extremal realization spectra by two acyclic matrices whose graphs are caterpillars	2
Generalized spectral characterization of rooted product graphs	2
Minimal completion of I × I doubly substochastic matrices	2
Polynomial eigenvalue estimation: numerical radii versus norms	2
New characterizations and representations of the generalized Bott–Duffin inverse and its applications	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
Stability of unique Hahn–Banach extensions and associated linear projections	2
Regular factorizations and group inverses of linear operators in Banach spaces	2
Perfect state transfer on semi-Cayley graphs over abelian groups	2
The images of multilinear and semihomogeneous polynomials on the algebra of octonions	2
On the lengths of matrix incidence algebras with radicals of square zero	2
On the regularization of convolutional kernel tensors in neural networks	2
Generalized parallel sum of adjointable operators on Hilbert C*-modules	2