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Eigenvalues of a class of fourth-order boundary value problems with transmission conditions using matrix theory

期刊: LINEAR & MULTILINEAR ALGEBRA, 2021; 69 (9)

A class of fourth-order boundary value problems with general self-adjoint boundary and transmission conditions is investigated. It is shown that such ......

On some inequalities for sector matrices

期刊: LINEAR & MULTILINEAR ALGEBRA, 2021; 69 (3)

Kittaneh and Sakkijha recently proved some norm inequalities for accretive-dissipative matrices, we first extend their results to sector matrices. We ......

Solutions of a second-order conjugate matrix equation

期刊: LINEAR & MULTILINEAR ALGEBRA, 2021; 69 (9)

The following second-order conjugate matrix equation is considered X H A X + B H X + X H B + D = 0 , where A H = A is an element of C n x n , B is an ......

Minimal infinity-norm of generalized inverses of the incidence matrix of a tree

期刊: LINEAR & MULTILINEAR ALGEBRA, 2021; 69 (7)

In this paper, we present equivalent characterizations for the minimal infinity-norm of generalized inverses of the incidence matrix of a tree. We als......

Algebraic conditions for the solvability to some systems of matrix equations

期刊: LINEAR & MULTILINEAR ALGEBRA, 2021; 69 (9)

Although solvability conditions for a system of two linear equations are well-known even in the case of rings and, for three linear equations, in the ......

Tensor product modules over the twisted Heisenberg-Virasoro algebra

期刊: LINEAR & MULTILINEAR ALGEBRA, ; ()

Let H be the twisted Heisenberg-Virasoro algebra. In this paper, we first present a method to produce a class of tensor product H-modules, by which we......

On the distance Laplacian spectral radius of bicyclic graphs

期刊: LINEAR & MULTILINEAR ALGEBRA, ; ()

The distance Laplacian matrix of a connected graph G is defined as L(G) = Tr(G) - D(G), where Tr(G) is the diagonal matrix of the vertex transmissions......

A spectral method to incidence balance of oriented hypergraphs and induced signed hypergraphs

期刊: LINEAR & MULTILINEAR ALGEBRA, ; ()

A hypergraph is said to be oriented if each edge-vertex incidence has a label of +1 or -1. An oriented hypergraph is called incidence balanced if ther......

Popoviciu type inequalities for determinants

期刊: LINEAR & MULTILINEAR ALGEBRA, ; ()

The Popoviciu inequality is known as a weighted version of the celebrated Aczel inequality. In this paper, we establish an analogue of the Popoviciu i......

A generalization of inverse power method for computing eigenpairs of symmetric tensors

期刊: LINEAR & MULTILINEAR ALGEBRA, ; ()

In this paper, we propose generalized inverse power methods with variable shifts for finding the smallest H-/Z-eigenvalue and associated H-/Z-eigenvec......

Characterizations and representations for the CMP inverse and its application

期刊: LINEAR & MULTILINEAR ALGEBRA, ; ()

We present characterizations and representations for the CMP inverse. Also, we explore the CMP inverse of a block triangular matrix and its sign patte......

Some similarities classes related to O(2,1) in split quaternions

期刊: LINEAR & MULTILINEAR ALGEBRA, ; ()

In this paper, we show that PO(2, 1) can be represented by invertible split quaternions. We introduce the concepts of t-similarity and t-pseudosimilar......

Maps preserving transition probability from pure product states to pure states

期刊: LINEAR & MULTILINEAR ALGEBRA, ; ()

Let n> 1 be a positive integer, {H-1,..., H-n} be a finite collection of complex Hilbert spaces with dim(H-k) >= 2, and P-1(H-k) be the set of a......

The Araki-Lieb-Thirring inequality and the Golden-Thompson inequality in Euclidean Jordan algebras

期刊: LINEAR & MULTILINEAR ALGEBRA, ; ()

Motivated by the Araki-Lieb-Thirring inequality tr(A(1/2)BA(1/2))rp <= tr(A(r/2)B(r)A(r/2))p for p >= 0, r >= 1 (tr(A(1/2)BA(1/2))(rp) >= ......

Triangle-free graphs with six non-zero eigenvalues

期刊: LINEAR & MULTILINEAR ALGEBRA, ; ()

A graph G is called triangle-free if G does not contain a triangle as an induced subgraph. Let H-n be the set of triangle-free graphs of order n with ......

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