matrix productsGerschgorin circle theoremexponential dichotomyeigenvalue inclusiondifferential equations/ B0290H Linear algebra (numerical analysis) C4140 Linear algebra (numerical analysis)The Gerschgorin circle theorem is used here to give sufficient conditions for the solution space of the difference equation...
In today’s era of rapid development in science and technology, the development of digital technology has increasingly higher requirements for data processing functions. The matrix signal commonly used in engineering applications also puts forward higher
Motivated by problems arising in random sampling of trigonometric polynomials, we derive exponential inequalities for the operator norm of the difference between the sample second moment matrix $n^{-1}U^*U$ and its expectation where $U$ ... K Groechenig,BM Poetscher,H Rauhut 被引量: 43发表...
On the eigenvalues of the matrix pencil A + μB The number of independent invariants of n×n matrices A, B and their products on which the eigenvalues λ(μ) of the matrix pencil A+μB depend is determined by means of the theory of algebraic invariants and combinatorial analysis. F......
Let us say A is an “n × n” matrix and λ is an eigenvalue of matrix A, thenx, a non-zero vector, is called as eigenvector if it satisfies the given below expression; Ax= λx xis an eigenvector of A corresponding to eigenvalue, λ. ...
We shall give natural generalized solutions of Hadamard and tensor products equations for matrices by the concept of the Tikhonov regularization combined w... S Saitoh - 《线性代数与矩阵理论研究进展(英文)》 被引量: 14发表: 2014年 A Quasi-Random Approach to Matrix Spectral Analysis Inspired by ...
Uses graphic analytic method to find theeigenvaluesof heat conduction equations. 摘要采用图解分析法求出热传导方程的特征值. 互联网 Q : WARNING : THE SYSTEM MATRIX HAS 1 NEGATIVEEIGENVALUES. 一般在什么情况下会发生系统矩阵出现负特征值? 互联网 ...
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...
Spectral reconstruction of complex networks eigenvaluesLaplacian matrixcombinatorial optimization methodrandom networksregular networksIn this paper we study the reconstruction of a network topology from the ... F Comellas,J Diaz-Lopez - 《Physica A-statistical Mechanics & Its Applications》 被引量: 37发...
If we take the derivative of (7) with respect to , we find(18)where we have used the convenient formulation of the scalar derivative of matrix products found in [23]. For the computation of we need to extend the equations in Section 3.2 as follows. The derivatives with respect to of ...