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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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
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spelling ndltd-TW-083NCTU05070072015-10-13T12:53:40Z http://ndltd.ncl.edu.tw/handle/69787077871116622626 CONVERGENCE ACCELERATION FOR THE REFLECTION MATRIX IN NONMULTIPLYING HALF-SPACE WITH ANGULAR SHIFT 保守和角移半平面的反射矩陣之收斂加速方法 Mine-Nane Fang 方敏能 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. Jong Juang 莊重 1995 學位論文 ; thesis 31 en_US
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description 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.
author2 Jong Juang
author_facet Jong Juang
Mine-Nane Fang
方敏能
author Mine-Nane Fang
方敏能
spellingShingle Mine-Nane Fang
方敏能
CONVERGENCE ACCELERATION FOR THE REFLECTION MATRIX IN NONMULTIPLYING HALF-SPACE WITH ANGULAR SHIFT
author_sort Mine-Nane Fang
title CONVERGENCE ACCELERATION FOR THE REFLECTION MATRIX IN NONMULTIPLYING HALF-SPACE WITH ANGULAR SHIFT
title_short CONVERGENCE ACCELERATION FOR THE REFLECTION MATRIX IN NONMULTIPLYING HALF-SPACE WITH ANGULAR SHIFT
title_full CONVERGENCE ACCELERATION FOR THE REFLECTION MATRIX IN NONMULTIPLYING HALF-SPACE WITH ANGULAR SHIFT
title_fullStr CONVERGENCE ACCELERATION FOR THE REFLECTION MATRIX IN NONMULTIPLYING HALF-SPACE WITH ANGULAR SHIFT
title_full_unstemmed CONVERGENCE ACCELERATION FOR THE REFLECTION MATRIX IN NONMULTIPLYING HALF-SPACE WITH ANGULAR SHIFT
title_sort convergence acceleration for the reflection matrix in nonmultiplying half-space with angular shift
publishDate 1995
url http://ndltd.ncl.edu.tw/handle/69787077871116622626
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