Add to ORKGABSTRACT: This paper examines the roots of several principal (n- 1)-square subpencils of an n-square Hermitian matrix pencil XC- A, where A and C are Hermitian, C positive definite, and X a real scalar. 1. Introduction. Let A and C be n-square Hermitian matrices, with C positive definite. The roots of the generalized characteristic equation (in scalar X) (1) det(XC- A) = 0 are real and are interlaced by the roots (also real) of the equation (2) det(XC i- Ai) = 0
AbstractFor a Hermitian matrix H with nonsingular principal submatrix A, it is shown that the eigenv...
Abstract. Consider the matrix equation AXA ∗ +BY B ∗ = C. A matrix pair (X0, Y0) is called a Hermit...
Dedicated to Professor Tsuyoshi Ando for his significant contributions in matrix and operator theory...
AbstractGiven n-square Hermitian matrices A,B, let Ai,Bi denote the principal (n−1)- square submatri...
AbstractIf A is an n × n matrix and if S ⊂{1,…,n}, then let A(S) denote the principal submatrix of A...
If A is an n × n matrix and if S ⊂{1,...,n}, then let A(S) denote the principal submatrix of A forme...
AbstractIn this note, we study some basic properties of generalized eigenvalues of a definite Hermit...
AbstractA new proof of the complete interlacing theorem for singular values is presented. The techni...
Classical interlacing for a Hermitian matrix A may be viewed as describing how many eigenvalues of A...
Classical interlacing for a Hermitian matrix A may be viewed as describing how many eigenvalues of A...
AbstractTwo common properties of Z-matrices and Hermitian matrices are considered: (1) The eigenvalu...
AbstractBeginning with a polynomial with real roots, a family of polynomials with degree reduced by ...
AbstractClassical interlacing for a Hermitian matrix A may be viewed as describing how many eigenval...
AbstractA classical theorem of Cauchy states that the eigenvalues of a principal submatrix A0 of a H...
We investigate spectral conditions on Hermitian matrices of roots of unity. Our main results are con...
AbstractFor a Hermitian matrix H with nonsingular principal submatrix A, it is shown that the eigenv...
Abstract. Consider the matrix equation AXA ∗ +BY B ∗ = C. A matrix pair (X0, Y0) is called a Hermit...
Dedicated to Professor Tsuyoshi Ando for his significant contributions in matrix and operator theory...
AbstractGiven n-square Hermitian matrices A,B, let Ai,Bi denote the principal (n−1)- square submatri...
AbstractIf A is an n × n matrix and if S ⊂{1,…,n}, then let A(S) denote the principal submatrix of A...
If A is an n × n matrix and if S ⊂{1,...,n}, then let A(S) denote the principal submatrix of A forme...
AbstractIn this note, we study some basic properties of generalized eigenvalues of a definite Hermit...
AbstractA new proof of the complete interlacing theorem for singular values is presented. The techni...
Classical interlacing for a Hermitian matrix A may be viewed as describing how many eigenvalues of A...
Classical interlacing for a Hermitian matrix A may be viewed as describing how many eigenvalues of A...
AbstractTwo common properties of Z-matrices and Hermitian matrices are considered: (1) The eigenvalu...
AbstractBeginning with a polynomial with real roots, a family of polynomials with degree reduced by ...
AbstractClassical interlacing for a Hermitian matrix A may be viewed as describing how many eigenval...
AbstractA classical theorem of Cauchy states that the eigenvalues of a principal submatrix A0 of a H...
We investigate spectral conditions on Hermitian matrices of roots of unity. Our main results are con...
AbstractFor a Hermitian matrix H with nonsingular principal submatrix A, it is shown that the eigenv...
Abstract. Consider the matrix equation AXA ∗ +BY B ∗ = C. A matrix pair (X0, Y0) is called a Hermit...
Dedicated to Professor Tsuyoshi Ando for his significant contributions in matrix and operator theory...