Hermitian matrixPositive semi-definite matrixEigenvaluesHadamard productsThe Schur theorem provides the global bounds for spectrum of the Hadamard product of two positive semi-definite matrices. In this paper, we obtain lower and upper estimations for each eigenvalue of th...
In summary, the conversation discusses the contradiction between the fact that the product of two Hermitian matrices is Hermitian only if they commute, and the case of p4 not being Hermitian for hydrogen states with l=0 when p2 is Hermitian. The discussion also touches on the implications ...
the quantity obtained by multiplying the corresponding coordinates of each of two vectors and adding the products, equal to the product of the magnitudes of the vectors and the cosine of the angle between them. Also calleddot product,scalar product. ...
Linear maps preserving the higher numerical ranges of tensor products of matrices Hermitianmatrixlinearpreserverk-numericalrangetensorproductofmatricesFor a positive integer n, let M_n be the set of nChi-Kwong... Chi-Kwong,Li,Nung-Sing,... - 《Linear & Multilinear Algebra An International Journal...
Trace and Eigenvalue Inequalities for Ordinary and Hadamard Products of Positive Semidefinite Hermitian Matrices Let A and B be $n imes n$ positive semidefinite Hermitian matrices, let $\\\alpha $ and $\\\beta $ be real numbers, let $ \\\circ $ denote the Hadamard ... BY ...
the quantity obtained by multiplying the corresponding coordinates of each of two vectors and adding the products, equal to the product of the magnitudes of the vectors and the cosine of the angle between them. Also calleddot product,scalar product. ...
Singular values and eigenvalues of non-Hermitian block Toeplitz matrices We study the asymptotic distribution of singular values and eigenvalues of non-Hermitian block Toeplitz matrices, generated by a matrix-valued periodic fun... P Tilli - 《Calcolo》 被引量: 154发表: 1996年 Numerical Solution ...
This inequality includes as a special case the Nudel'man-varcman inequality for the eigenvalues of a product of unitary matrices analogous to Lidskii's inequality for the eigenvalues of a sum of Hermitian matrices.doi:10.1080/03081087408817038...
M.E. Miranda, On the product of the diagonal elements of hermitian matrices, Linear and Multilinear Algebra, to appear. Google Scholar Cited by (0)* Research supported by NSF grant DMS 89 00922. This paper was written while the author was visiting the Department of Mathematical Sciences, The...
On the product of matrix exponentialsOn the product of matrix exponentialsWe study the family of positive definite Hermitian matrices of the form for t > 0, where A and B are Hermitian. In particular, we show that the above matrix family converges to a limit when t →∞.doi:10.1016/0024...