Eigenvalues Estimation of Block Kronecker Product of Positive Semidefinite Hermitian MatricesIn 1911, L. Schur showed the overall estimation for all eigenvalues of Hadamard products of positive semidefinite Hermitian matrices. In 1992, R. A. Horn and R. Mathias obtained an approach to a block ...
a survey focusing on the study of a block Hadamard and block Kronecker products of positive semidefinite matrices in 2012[3]. Saliha Pehlivan [4] provided some trace inequalities for the trace of the block Hadamard product. In this paper... H Quan - 《International Journal of Scientific & In...
After a short overview, improvements (based on the Kronecker product) are proposed for the eigenvalues of (N× N) block-Toeplitz tridiagonal (block-TT) matrices with (K× K) matrix-entries, common in applications. Some extensions of the spectral properties of the Toeplitz-tridiagonal matrices ar...
In this article we examine the adjacency and Laplacian matrices and their eigenvalues and energies of the general product (non-complete extended p-sum, or NEPS) of signed graphs. We express the adjacency matrix of the product in terms of the Kronecker matrix product and the eigenvalues and ener...
As the theory of the resultant (Cox et al., 1998; D’Andrea and Dickenstein, 2001; Gelfand et al., 1994; Sturmfels, 2002) becomes more developed, this de?nition becomes more usable, as shown in our paper. We extend the Kronecker symbol to the case of m indices: δi1 ,...,im ...
A corresponding orthonormal basis of realeigenfunctions will be denotedu1,u2,u3,. . ..(8.2)That is, we assume known that, for eachi= 1,2,. . .,uiis real-valued,−∆ui=λiuithroughoutΩ,ui= 0on∂Ω,and that ́Ωuiuj=δij,whereδijdenotes the Kroneckerdelta.In their ...
Kronecker productWe examine multidimensional Ising systems on hypercube lattices and calculate analytically the eigenvalues of their connection matrices. We express the eigenvalues in terms of spin-spin interaction constants and the eigenvalues of the one-dimensional Ising connection matrix (the latter are ...
In this paper, we estimate every eigenvalue of the block Kronecker products of positive semidefinite Hermitian matrices under the conditions given by R. A. Horn and R. Mathias, then it has generalized the Schur's Basic Theorem.Zhongpeng Yang...
In this paper, we estimate every eigenvalue of the block Kronecker products of positive semidefinite Hermitian matrices under the conditions given by R. A. Horn and R. Mathias, then it has generalized the Schur's Basic Theorem.Yang, Zhongpeng...
After a short overview, improvements (based on the Kronecker product) are proposed for the eigenvalues of (N x N) block-Toeplitz tridiagonal (block-TT) matrices with (K x K) matrix-entries, common in applications. Some extensions of the spectral properties of the Toeplitz-tridiagonal matrices ...