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 ...
On the history of the Kronecker product Linear Multilinear Algebra, 14 (1983), pp. 113-120 CrossrefView in ScopusGoogle Scholar [14] M. Hoji, Z. Luo, E. Vumar Wiener and vertex PI indices of Kronecker products of graphs Discrete Appl. Math., 158 (2010), pp. 1848-1855 View PDFView...
Eigenvalues Estimation of Block Kronecker Product of Positive Semidefinite Hermitian Matrices In 1911, L. Schur showed the overall estimation for all eigenvalues of Hadamard products of positive semidefinite Hermitianmatrices. In 1992,R. A. Horn and R.Mathias obtained an approach to a block generalizat...
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 ...
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 Hermitianmatrices. In 1992,R. A. Horn and R.Mathias obtained an approach to a block ...
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 ...
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...
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 ...
In this note, the stability of neutral delay reaction–diffusion systems (NDRDS) was concerned by applying the matrix pencil and the Kronecker product. A new computing method for the distribution of imaginary axis eigenvalues on general n‐dimensional NDRDS will be introduced. A pr...
After a short overview, improvements (based on the Kronecker product) are proposed for the eigenvalues of (N 脳 N) block-Toeplitz tridiagonal (block-TT) matrices with (K 脳 K) matrix-entries, common in applications. Some extensions of the spectral properties of the Toeplitz-tridiagonal matrices...