Results 41 to 50 of about 649,170 (367)
Use of suggested correlation matrix in factor analysis [PDF]
مجلة التربية والعلم, 2010 some variables may have nominal or ordinal scale, this causes a failure of analyzing the Pearson's correlation matrix by factor analysis. However, it was suggested to replace the elements of the correlation matrix by correlation coefficients which should
Marwan AbdulAziz Dabdoub
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Absolute matrix order ideals in absolute matrix order unit spaces [PDF]
arXiv, 2022 In this paper, we define and study absolute matrix order ideals in absolute matrix order unit spaces. As an application of absolute matrix order unit property, we construct some kinds of absolute matrix order ideals in absolute matrix order unit spaces.
arxiv
Smoothed Analysis for the Conjugate Gradient Algorithm [PDF]
, 2016 The purpose of this paper is to establish bounds on the rate of convergence of the conjugate gradient algorithm when the underlying matrix is a random positive definite perturbation of a deterministic positive definite matrix.
Menon, Govind, Trogdon, Thomas
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Symmetric multisplitting of a symmetric positive definite matrix
Linear Algebra and its Applications, 1998 AbstractA parallel symmetric multisplitting method for solving a symmetric positive system Ax = b is presented. Here the s.p.d. (symmetric positive definite) matrix A need not be assumed in a special form (e.g. the dissection form (R.E. White, SIAM J. Matrix Anal. Appl. 11 (1990) 69–82).
Zhi-Hao Cao, Zhong-Yun Liu
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Positive definite solution of two kinds of nonlinear matrix equations [PDF]
Surveys in Mathematics and its Applications, 2009 Based on the elegant properties of the Thompson metric, we prove that the following two kinds of nonlinear matrix equations X=Σi=1m Ai* XδiAi and X=Σi=1m (Ai* XAi)δi ...
Fujian Duan, Zhenyun Peng, Xuefeng Duan
doaj
Zhejiang Daxue xuebao. Lixue ban, 2017 The Hadamard inequality and Fischer inequality play an important role in the matrix study. Many articles have addressed these inequalities providing new proofs, noteworthy extensions, generalizations, refinements, counterparts and applications.
ZHANGHuamin(张华民) +1 more
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Asymptotic behavior of solutions of fully nonlinear equations over exterior domains
Comptes Rendus. Mathématique, 2021 In this paper, we consider the asymptotic behavior at infinity of solutions of a class of fully nonlinear elliptic equations $F(D^2u)=f(x)$ over exterior domains, where the Hessian matrix $(D^2u)$ tends to some symmetric positive definite matrix at ...
Jia, Xiaobiao
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On mixed discriminants of positively definite matrix
Ars Mathematica Contemporanea, 2015 In the paper, some new inequalities for the mixed discriminants of positively definite matrix are established, which are the matrix analogues of inequalities of the well-known mixed volumes function.
Xiao-Yan Li, Chang-Jian Zhao
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Further extensions of Hartfiel’s determinant inequality to multiple matrices
Special Matrices, 2021 Following the recent work of Zheng et al., in this paper, we first present a new extension Hartfiel’s determinant inequality to multiple positive definite matrices, and then we extend the result to a larger class of matrices, namely, matrices whose ...
Luo Wenhui
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On The Positive Definite Solutions Of Nonlinear Matrix Equation
, 2013 In this paper, the nonlinear matrix equation is investigated. Based on the fixed-point theory, the boundary and the existence of the solution with the case r>-δi are discussed. An algorithm that avoids matrix inversion with the case -1<-δi<0 is proposed.
Baoguang, Tian +2 more
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