Mathias. Generalized eigenvalues of a definite hermitian matrix pair. Linear Algebra and its Applications, 271 :309-321, 1998.C.-K. Li, R. Mathias, Generalized eigenvalues of a definite hermitian matrix pair, Linear Algebra Appl. 271 (1997) 307-321....
In this paper, we study the trace and the eigenvalues of a positive definite Hermitian matrix and get inequalities about the trace and eigenvalues between the Schur complement of the sum of positive definite Hermiteian matrix and the sum of the Schur complements of positive definite Hermiteian mat...
Hermitian matrixrank-one modificationSUMMARYIn this paper, we present some new interlacing properties about the bounds of the eigenvalues for rank-one modification of Hermitian matrix, whose eigenvalues are different and spectral decomposition also needs to be known. Numerical examples demonstrate the ...
Summary This chapter contains sections titled: Introduction and Definitions Variational Characteristics for Hermitian Matrices Separation Theorems Inequalities for Matrix Sums Inequalities for Matrix Differences Inequalities for Matrix Products Antieigenvalues and Antieigenvectors 关键词: eigenvalues eigenvectors singula...
229680489599233im julia> b PartialSchur decomposition (ComplexF64) of dimension 6 eigenvalues: 6-element Vector{ComplexF64}: 14.570707100307926 + 7.10698633463049e-12im 4.493079906269516 + 0.8390429076809746im 4.493079701528448 - 0.8390430155670777im -0.3415174262177961 + 4.254183175902487im -0....
where SS is a 2n2n -square doubly stochastic matrix. My question is how to determine the existence of SS. I think there should be some relationship between the diagonal elements of the Hermitian matrix and its eigenvalues. Maybe it is a theorem or I am not thinking...
Hermitian Matrix Diagonalization and Its Symmetry Properties A Hermitian matrix can be parametrized by a set consisting of its determinant and the eigenvalues of its submatrices. We established a group of equations w... SH Chiu,TK Kuo,A Cimmino - 《Advances in High Energy Physics》 被引量: 0...
By means of the properties of the Hermitian-Antireflexive matrix,the least-square solution of the left and right inverse eigenvalue problem of Hermitian-Antireflexive matrix is derived and the necessary and sufficient conditions of the problem are considered and then the general expression of the so...
We consider a discrete, non-Hermitian random matrix model, which can be expressed as a shift of a rank-one perturbation of an anti-symmetric matrix. We sho... P Sosoe,U Smilansky - 《Random Matrices Theory & Applications》 被引量: 1发表: 2016年 Eigenvalues and eigenvectors of Brualdi-Li...
is the order of matrixAused in the computation. Specified as: an integer;n0. kd Ifuplo='U',kdis the number of superdiagonals of the matrixA. Ifuplo='L',kdis the number of subdiagonals. Specified as: an integer;kd0. ab the real symmetric or c...