Results 11 to 20 of about 171 (65)
Rayleigh-Ritz Majorization Error Bounds for the Linear Response Eigenvalue Problem
Open Mathematics, 2019 In the linear response eigenvalue problem arising from computational quantum chemistry and physics, one needs to compute a few of smallest positive eigenvalues together with the corresponding eigenvectors.
Teng Zhongming, Zhong Hong-Xiu
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International Journal of Mathematics and Mathematical Sciences, Volume 25, Issue 6, Page 397-409, 2001., 2001 Solving systems of nonlinear equations and inequalities is of critical importance in many engineering problems. In general, the existence of inequalities in the problem adds to its difficulty. We propose a new projected Hessian Gauss‐Newton algorithm for solving general nonlinear systems of equalities and inequalities.
Mahmoud M. El-Alem +2 more
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International Journal of Mathematics and Mathematical Sciences, Volume 28, Issue 5, Page 251-284, 2001., 2001 The systematic analysis of convergence conditions, used in comparison theorems proven for different matrix splittings, is presented. The central idea of this analysis is the scheme of condition implications derived from the properties of regular splittings of a monotone matrix A = M1 − N1 = M2 − N2.
Zbigniew I. Woźnicki
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A fully parallel method for tridiagonal eigenvalue problem
International Journal of Mathematics and Mathematical Sciences, Volume 17, Issue 4, Page 741-752, 1994., 1994 In this paper, a fully parallel method for finding all eigenvalues of a real matrix pencil (A, B) is given, where A and B are real symmetric tridiagonal and B is positive definite. The method is based on the homotopy continuation coupled with the strategy ?Divide‐Conquer? and Laguerre iterations.
Kuiyuan Li
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Perturbations in a Signed Graph and its Index
Discussiones Mathematicae Graph Theory, 2018 In this paper we consider the behaviour of the largest eigenvalue (also called the index) of signed graphs under small perturbations like adding a vertex, adding an edge or changing the sign of an edge.
Stanić Zoran
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Estimations for spectral radius of nonnegative matrices and the smallest eigenvalue of M-matrices
Journal of Inequalities and Applications, 2014 In this paper, some estimations for the spectral radius of nonnegative matrices and the smallest eigenvalue of M-matrices are given by matrix directed graphs and their k-path covering.
Te Wang, Hongbin Lv, Haifeng Sang
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Bound for the largest singular value of nonnegative rectangular tensors
Open Mathematics, 2016 In this paper, we give a new bound for the largest singular value of nonnegative rectangular tensors when m = n, which is tighter than the bound provided by Yang and Yang in “Singular values of nonnegative rectangular tensors”, Front. Math.
He Jun +4 more
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Some inequalities for nonnegative tensors
Journal of Inequalities and Applications, 2014 Let A be a nonnegative tensor and x=(xi)>0 its Perron vector. We give lower bounds for xtm−1/∑xi2⋯xim and upper bounds for xsm−1/∑xi2⋯xim, where xs=max1≤i≤nxi and xt=min1≤i≤nxi.MSC:15A18, 15A69, 65F15, 65F10.
Jun He, Tingzhu Huang, G. Cheng
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NONLINEAR RANK-ONE MODIFICATION OF THE SYMMETRIC EIGENVALUE PROBLEM *
, 2010 Nonlinear rank-one modiflcation of the symmetric eigenvalue problem arises from eigenvibrations of mechanical structures with elastically attached loads and calculation of the propagation modes in optical flber.
Xin Huang, Z. Bai, Yangfeng Su
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A Geršgorin-type eigenvalue localization set with n parameters for stochastic matrices
Open Mathematics, 2018 A set in the complex plane which involves n parameters in [0, 1] is given to localize all eigenvalues different from 1 for stochastic matrices. As an application of this set, an upper bound for the moduli of the subdominant eigenvalues of a stochastic ...
Wang Xiaoxiao, Li Chaoqian, Li Yaotang
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