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Strange Nonsymmetric Algebraic Riccati Equation Numerical Solution

Author: LiChuanXing
Tutor: GuoXiaoXia
School: Ocean University of China
Course: Computational Mathematics
Keywords: Minimal nonnegative solution Displacement techniques Fixed point iteration method Newton iteration
CLC: O241.6
Type: Master's thesis
Year: 2010
Downloads: 37
Quote: 0
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Abstract


A Matrix Equation - non - symmetric algebraic Riccati equation is often encountered in the transmission problem, apply the probability of migration theory and other disciplines , in particular, the coefficient matrix of the equation derived from the transmission problems with a special structure . In practical applications, there is concern that its minimal nonnegative solution , minimal nonnegative solution of the existence , nature , and solve the existing literature and research , and a series of achievements . This paper first reviews the sources of background and research status of the equation . Finally, some numerical given on the equations basic lemma and algorithms of ; then the displacement skill , in the singular case fixed point iterative method and Newton iteration method to improve so as to form a new algorithm ; numerical example . The innovation of this paper : the singular case fixed point iterative method and Newton iteration method to improve , so that the non - symmetric algebraic Riccati equation can find the smallest non - negative solution .

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CLC: > Mathematical sciences and chemical > Mathematics > Computational Mathematics > Numerical Analysis > Linear algebra method of calculating
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