標題: 保守和角移半平面的反射矩陣之收斂加速方法
CONVERGENCE ACCELERATION FOR THE REFLECTION MATRIX IN NONMULTIPLYING HALF-SPACE WITH ANGULAR SHIFT
作者: 方敏能
Mine-Nane Fang
莊重
Jong Juang
應用數學系所
關鍵字: 奇異;加速;收斂;Riccati;singular;acceleration;convergence
公開日期: 1994
摘要: 考慮代數矩陣的Riccati方程式,它有兩個參數,分別為c和.alpha.,讓 如此的非線性方程以F(S)=0來表示,這□的F是一個非線性的映射。在這 篇論文,首先讓S^*是F(S)=0的最小正解,我們證明了F^'(S^*)是奇異的 在 c=1和.alpha.=0的時候。再來就是對於奇異和非常靠近奇異的問題, 我們有使它們加速的方法,而且有非常滿意的數值結果。 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.
URI: http://140.113.39.130/cdrfb3/record/nctu/#NT830507007
http://hdl.handle.net/11536/59636
Appears in Collections:Thesis