Kronecker productSpectral abscissaSpectral radiusWe introduce two kinds of sums of Kronecker products, and their induced operators. We study the algebraic properties of these two kinds of matrices and their associated operators; the properties include their eigenvalues, their eigenvectors, and the ...
the authors discussed some important properties of Hada-mard product and Kronecker product of some kinds of generalized positivedefinite matrices.Some necessary and sufficient conditions have been givenfor an nth order real matrix to be generalized positive definite matrice.Theyare generalizetion of ...
One consider also the approximate l p-inverses (1 p ∞) of the matrices having the block form [ I n A, B T I m], where denotes the Kronecker product, m = r + 1, n = s + 1, I n is the identity matrix of order n, A ∈ R m× r, B ∈ R s× n, rank( A) = r,...
denotes the Kronecker product and is the transposition-permutation matrix associated to (see thereview of matrix algebrabelow for a definition). Proof There is a simpler expression for the covariances between the diagonal entries of : Proof Review of matrix algebra This section reviews some results ...
Characterizing multipartite quantum systems is crucial for quantum computing and many-body physics. The problem, however, becomes challenging when the system size is large and the properties of interest involve correlations among a large number of partic
The group was obtained by apply Kronecker product on the demonstration of the quaternion group is a finite group with 32 order. The elements of this group are 4脳4 matrices and the group is a non-abelian. In the first results, it's presented that the group was a solvable group. In ...
This power is an analogue of the representation of the Sylvester-Hadamard matrix in the form of a Kronecker power of H . The properties of the new tensor product of matrices are examined and compared with those of the Kronecker product. An algebraic structure with the matrix H used as a ...
We define a generalized Kronecker product for block matrices, mention some of its properties, and apply it to the study of a block Hadamard product of posi... M Günther,L Klotz - 《Linear Algebra & Its Applications》 被引量: 19发表: 2012年 Some statistical properties of Hadamard products ...
BSplinesKronecker productConstraint Satisfaction ProblemRobotFeasible workspaceInterval Analysis is a mathematical tool that could be used to solve Constraint Satisfaction Problem. It guarantees solutions, and deals with uncertainties. However, Interval Analysis suffers from an overestimation of the solutions, ...
Higher dimension matrices of the transforms may also be generated recursively by means of Kronecker product from basic matrices. Sparse matrix factorization or matrix partitioning of the Complex Hadamard matrices leads to the fast algorithms with complexity Nlog/sub 2/N. One of the shown fast ...