CONVERGENCE ACCELERATION FOR THE REFLECTION MATRIX IN NONMULTIPLYING HALF-SPACE WITH ANGULAR SHIFT

碩士 === 國立交通大學 === 應用數學研究所 === 83 === Consider a class of algebraic matrix Riccati equation with two parameters c and .alpha..Let such class of nonlinear be denoted by F(S)=0,in which F is a nonlinear map.In thesis,we first show F^'(S^*...

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Bibliographic Details
Main Authors: Mine-Nane Fang, 方敏能
Other Authors: Jong Juang
Format: Others
Language:en_US
Published: 1995
Online Access:http://ndltd.ncl.edu.tw/handle/69787077871116622626
Description
Summary:碩士 === 國立交通大學 === 應用數學研究所 === 83 === Consider a class of algebraic matrix Riccati equation with two parameters c and .alpha..Let such class of nonlinear be denoted by F(S)=0,in which F is a nonlinear map.In thesis,we first show F^'(S^*) is singular for c=1 and .alpha.=0.Here S^* is the minimal positive solution of F(S)=0.Second,certain procedures are proposed for the singular problem and nearms. Some very satisfactory numerical results are also presented.