Results 11 to 20 of about 30,323 (260)
CG Versus MINRES: An Empirical Comparison
Sultan Qaboos University Journal for Science, 2012 For iterative solution of symmetric systems the conjugate gradient method (CG) is commonly used when A is positive definite, while the minimum residual method (MINRES) is typically reserved for indefinite systems.
David Chin-Lung Fong, Michael Saunders
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On the Iterative Method for the System of Nonlinear Matrix Equations
Abstract and Applied Analysis, 2013 The positive definite solutions for the system of nonlinear matrix equations are considered, where are two positive integers and A, B are nonsingular complex matrices.
Asmaa M. Al-Dubiban
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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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Approximation of a Solution for aK-Positive Definite Operator Equation
Journal of Mathematical Analysis and Applications, 1997 An iterative method is constructed which converges strongly to the unique solution of the equation \(Ax=f\) where \(A\) is a \(K\)-positive definite operator on a domain of a real separable \(q\)-uniformly smooth Banach space, \(q>1\).
Chidume, C.E., Osilike, M.O.
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Iterative solutions of K-positive definite operator equations in real uniformly smooth Banach spaces
International Journal of Mathematics and Mathematical Sciences, 2001 Let X be a real uniformly smooth Banach space and let T:D(T)⫅X→X be a K-positive definite operator. Under suitable conditions we establish that the iterative method by Bai (1999) converges strongly to the unique solution of the equation Tx=f, f∈X.
Zeqing Liu +2 more
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Parallel Solution of Hierarchical Symmetric Positive Definite Linear Systems [PDF]
Applied Mathematics and Nonlinear Sciences, 2017 Abstract We present a prototype task-parallel algorithm for the solution of hierarchical symmetric positive definite linear systems via the ℋ -Cholesky factorization that builds upon the parallel programming standards and associated runtimes for OpenMP and OmpSs. In contrast
Aliaga, José I. +2 more
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Positive definite solutions of some matrix equations
Linear Algebra and its Applications, 2008 The authors investigate some existence questions of positive semi-definite solutions for certain classes of matrix equations known as the generalized Lyapunov equations. The authors use a simple but useful lemma (Lemma 2.1) and properties of Fourier transforms to get sufficient and necessary conditions for certain equations and only sufficient for ...
Cvetković, Aleksandar S. +1 more
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Some exact BPS solutions for exotic vortices and monopoles
Physics Letters B, 2016 We present several analytical solutions of BPS vortices and monopoles in the generalized Abelian Maxwell–Higgs and Yang–Mills–Higgs theories, respectively.
Handhika S. Ramadhan
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Open Mathematics, 2020 Consider an ordered Banach space and f,gf,g two self-operators defined on the interior of its positive cone. In this article, we prove that the equation f(X)=g(X)f(X)=g(X) has a positive solution, whenever f is strictly α\alpha -concave g-monotone or ...
Kedim Imed +2 more
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Fourth-Order Four-Point Boundary Value Problem: A Solutions Funnel Approach
International Journal of Mathematics and Mathematical Sciences, 2012 We investigate the existence of positive or a negative solution of several classes of four-point boundary-value problems for fourth-order ordinary differential equations.
Panos K. Palamides, Alex P. Palamides
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