It uses only linear solves with a bordered extension of the rank-deficient matrix and the transpose of that extension. We discuss the basic methods and their application in fundamental problems such as minimization and in more advanced problems in non-linear analysis. We present extensive numerical...
A spectral factorization theorem is proved for polynomial rank-deficient matrix-functions. The theorem is used to construct paraunitary matrix-functions with first rows given.doi:10.48550/arXiv.1008.3122Ephremidze, LashaLagvilava, EdemMathematics
K. Du, "The iterative methods for computing the polar decom- position of rank-deficient matrix," Applied Mathematics and Computation, vol. 162, no. 1, pp. 95-102, 2005.KUI Du.The iterative methods for computing the polar decomposition of rank-deficient matrix.Applied Mathematics and ...
6)rank deficiency matrix秩亏矩阵
6) rank deficiency matrix 秩亏矩阵补充资料:誾誾秩秩 1.人才众多貌。 说明:补充资料仅用于学习参考,请勿用于其它任何用途。参考词条秩亏自由网平差 秩亏线性模型 秩亏网平差模型 秩亏网拟稳平差 动态秩亏平差 亏秩线性最小二乘问题 非线性秩亏自由网平差 ...
Fourier matrixRank-deficient submatrixFFTUncertainty principleWe consider the maximal rank-deficient submatrices of Fourier matrices with order a power of a ... S Delvaux,MV Barel - 《Linear Algebra & Its Applications》 被引量: 39发表: 2007年 Randomized methods for rank-deficient linear systems the...
The first recurrent neural network has the dynamical equation similar to the one proposed earlier for matrix inversion and is capable of Moore--Penrose inversion under the condition of zero initial states. The second recurrent neural network consists of an array of neurons corresponding to a pseudo...
When using "getrf" for factorizing squared symmetric matrices I have come across permutation vectors as output which contain repeated values and may not cover all columns/rows of the input matrix. This seems to happen only when the input matrix is rank deficient. It appe...
H is a hadamard matrix of order 16. Because i scrambled the signal using frame of 16 samples using: y(:,k) = H*x; k = k + 1; I am now trying to descrambled it using 16 samples too by doing: ori_sig(:,k) = y\H;
For the K-user rank-deficient MIMO IC with no relays, an achievable sum degrees of freedom (DoF) is upper bounded by Kr_{ds}, where r_{ds} denotes the rank of each point-to-point channel matrix. However, if relays assist the communication, we show that there can be significant ...