The evaluation of the trace of the matrix inverse, Tr(A), arises in many applications and an efficient approximation of it without evaluating explicitly the matrix A is very important, especially for large matrices that appear in real applications. In this work, we compare and analyze the ...
Trace of matrix inverse: Calculation ofis extensively used in Lattice Chromodynamics, structural topology optimization and other related fields. Some other applications include calculation ofSchatten p-norms,Estrada Index, Differential Privacy, Chemical Graph Theory,eigencount and numerical rank. ...
1.Our results were as follows: (1)We divided the class of symmetric primitive matrix with its nonzero trace into two subclasses by the trace of matrix:SB_n=SB_n(Ⅰ)∪〖WTHX〗SB_n(Ⅱ),SB_n(Ⅰ)∩SB_n(Ⅱ)=[FK(W+3.所得结论是:①把迹非零对称矩阵类SBn按照矩阵的迹划分为互不相交的...
InverseChebyshev algorithmIn this paper we study how to compute an estimate of the trace of the inverse of a symmetric matrix by using Gauss quadrature and the modified Chebyshev algorithm. As auxiliary polynomials we use the shifted Chebyshev polynomials. Since this can be too costly in computer...
In this paper, we study the trace and the eigenvalues of a positive definite Hermitian matrix and get inequalities about the trace and eigenvalues between the Schur complement of the sum of positive definite Hermiteian matrix and the sum of the Schur complements of positive definite Hermiteian mat...
High temperature limit of the N = 2 II-A matrix model The high temperature limit of a system of two d-0 branes is investigated. The partition function can be expressed as a power series in 尾 (inverse temperature). The leading term in the high temperature expression of the partition funct...
5) generalized Hadamard matrix 广义Hadamard矩阵 1. The property of Kronecker product for a generalized Hadamard matrix was also discussed. Hadamard矩阵在信号处理方面有重要应用,而Hadamard矩阵是广义Hadamard矩阵的特殊情形。 6) generalized inverse matrix 广义逆矩阵 1. Study on generalized inverse matrix...
TIMTranslocase of Inner Membrane TIMThermal Imaging Module TIMTivoli Intrusion Manager(IBM) TIMTotal Improvement Management TIMTechnical Interface Meeting TIMTraining Implementation Matrix TIMTime Interval Meter TIMTitre d'Ingénieur Maître(French)
The density matrix of the output state is obtained by averaging over the angle θ,ρ=[|a|2ab*e-λa*be-λ|b|2],with λ proportional to the time of rotation. A characteristic of phase-damping operation is the fact that the off-diagonal terms of the density matrix decay exponentially ...
Am really lost on this one: Suppose X is a full rank nxp matrix. Construct the matrix: P = I - X((X'X)^-1)X' Where X' is the transpose of X. I...