標題: EXISTENCE OF ALGEBRAIC MATRIX RICCATI-EQUATIONS ARISING IN TRANSPORT-THEORY
作者: JUANG, J
交大名義發表
應用數學系
National Chiao Tung University
Department of Applied Mathematics
公開日期: 15-十一月-1995
摘要: We consider the existence of positive solutions of a certain class of algebraic matrix Riccati equations with two parameters, c (0 less than or equal to c less than or equal to 1) and alpha (0 less than or equal to alpha less than or equal to 1). Here c denotes the fraction of scattering per collision, and cu is an angular shift. Equations of this class are induced via invariant imbedding and the shifted Gauss-Legendre quadrature formula from a simple transport model. By establishing the existence of positive solutions of such equations, the problem of the convergence of some iterative schemes for solving them can be completely solved.
URI: http://dx.doi.org/10.1016/0024-3795(93)00366-8
http://hdl.handle.net/11536/1651
ISSN: 0024-3795
DOI: 10.1016/0024-3795(93)00366-8
期刊: LINEAR ALGEBRA AND ITS APPLICATIONS
Volume: 230
Issue: 
起始頁: 89
結束頁: 100
顯示於類別:期刊論文


文件中的檔案:

  1. A1995TC94500006.pdf