Matrix evolution equations and special functions
نویسندگان
چکیده
منابع مشابه
Matrix Functions and Matrix Equations
Solving large-scale algebraic Riccati equations (AREs) is one of the central tasks in solving optimal control problems for linear and, using receding-horizon techniques, also nonlinear instationary partial differential equations. Large-scale AREs also occur in several model reduction methods for dynamical systems. Due to sparsity and large dimensions of the resulting coefficient matrices, stand...
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SUMMARY This issue contains papers dealing with a variety of linear and nonlinear matrix equations arising in systems and control theory, model reduction, and in various other areas of applied mathematics, economics, engineering, and the sciences. Special emphasis is given to the numerical treatment of large-scale problems. This special issue of Numerical Linear Algebra with Applications is dev...
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In this paper, using permutation matrices or symmetric matrices, necessary and sufficient conditions are given for a generalized matrix function to be the determinant or the permanent. We prove that a generalized matrix function is the determinant or the permanent if and only if it preserves the product of symmetric permutation matrices. Also we show that a generalized matrix function is the de...
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The 2-soliton solutions of the Korteweg-de Vries equation satisfy a fourth-order nonlinear ordinary differential equation which depends on two parameters λ, μ. As is well known, for each fixed choice of (λ, μ) in R, the ODE is actually a completely integrable Hamiltonian system with two degrees of freedom. Here we address the question of whether the soliton and 2-soliton solutions of KdV are th...
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ژورنال
عنوان ژورنال: Computers & Mathematics with Applications
سال: 2004
ISSN: 0898-1221
DOI: 10.1016/j.camwa.2004.03.007