Convergence of block iterative methods for linear systems arising in the numerical solution of Euler equations [PDF]
, 1991 Elsner L, Mehrmann V. Convergence of block iterative methods for linear systems arising in the numerical solution of Euler equations. Numerische Mathematik.
Mehrmann, Volker, Elsner, Ludwig
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Pseudospectra and stability radii of analytic matrix functions with application to time-delay systems [PDF]
, 2005 Definitions for pseudospectra and stability radii of an analytic matrix function are given, where the structure of the function is exploited. Various perturbation measures are considered and computationally tractable formulae are derived. The results are
Green, K +8 more
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Canonical transformations of linear Hamiltonian systems [PDF]
E3S Web of ConferencesIn this paper we consider the linear Hamiltonian systems of differential equations. We explore the normalization of a non-singular Hamiltonian matrix. We solve a system of matrix equations to find the generating function of the canonical transformation ...
Titova Tatiana
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Matrix Diophantine equations over quadratic rings and their solutions
Karpatsʹkì Matematičnì Publìkacìï, 2020 The method for solving the matrix Diophantine equations over quadratic rings is developed. On the basic of the standard form of matrices over quadratic rings with respect to $(z,k)$-equivalence previously established by the authors, the matrix ...
N.B. Ladzoryshyn +2 more
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A New Analytic Solution Method for a Class of Generalized Riccati Differential Equations
Universal Journal of Mathematics and Applications, 2023 We give a useful and practicable solution method for the general Riccati differential equation of the form $w^{\prime }\left( x\right) =p\left( x\right) +q\left( x\right) w\left( x\right) +r\left( x\right) w^{2}\left( x\right) $.
Adil Mısır
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Solving ill-conditioned linear equations using simulated annealing method [PDF]
Journal of Hyperstructures, 2018 The purpose of this paper is to using the Simulated Annealing method to solving a linear equations system which have an ill-conditioned coefficients matrix. A linear equation system is called ill-conditioned if its condition number be large.
Mojtaba Moradi
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Numerics of boundary-domain integral and integro-differential equations for BVP with variable coefficient in 3D [PDF]
, 2013 This is the post-print version of the article. The official published version can be accessed from the links below - Copyright @ 2013 Springer-VerlagA numerical implementation of the direct boundary-domain integral and integro-differential equations ...
Mikhailov, SE +2 more
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Rocky Mountain Journal of Mathematics, 2010 By using appropriate matrix decompositions, necessary and sufficient solvability conditions and explicit reflexive and anti-reflexive solutions for the following matrix equation: {\parindent9mm \begin{itemize}\item[(I)] \(A_1 XB_1 = D_1\), and systems of matrix equations: \item[(II)] \(A_1 X = C_1, XB_2 = C_2\), and \item[(III)] \(A_1 X = C_1, XB_2 ...
Dehghan, Mehdi, Hajarian, Masoud
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The solution of the full matrix analogue of the generalized abel equation with constant coefficients
Vestnik Samarskogo Gosudarstvennogo Tehničeskogo Universiteta. Seriâ: Fiziko-Matematičeskie Nauki, 2011 The system of generalized integral Abel equations in the matrix form with constant coefficients on the segment. Was considered at the terms of the integral Riemann-Liouville operators of matrix order.
Rina R Ismagilova
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On the Iterative Method for the System of Nonlinear Matrix Equations [PDF]
Abstract and Applied Analysis, 2013 Summary: The positive definite solutions for the system of nonlinear matrix equations \(X + A^\ast Y^{-n} A = I\), \(Y + B^\ast X^{-m} B = I\) are considered, where \(n\), \(m\) are two positive integers and \(A\), \(B\) are nonsingular complex matrices.
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