Some properties of extremal points of solution curves for a class of nonlinear equations

スポンサーリンク

概要

• 論文の詳細を見る

• This paper gives an important theorem on a solution curve of a class of nonlinear equations consisting of n variables and (n - 1) equations, which is obtained from a typical nonlinear equation F(x) + Ax = b by deleting the first equation. The theorem is obtained under the assumption that A is an Ω-matrix, which is a generalization of the P-matrix. Prom this theorem and the previous results we can derive some very important properties on a solution curve. That is, the solution curves consist of only two types of curves.

• 一般社団法人電子情報通信学会の論文
• 2012-06-28

著者

• Nishi Tetsuo

  School Of Science And Engineering Waseda University

• TAKAHASHI Norikazu

  Kyushu University

関連論文

• Some properties and generation methods of integer matrices with large condition number (コンカレント工学)
• Some properties and generation methods of integer matrices with large condition number (VLSI設計技術)
• Some properties and generation methods of integer matrices with large condition number (回路とシステム)
• Some properties and generation methods of integer matrices with large condition number (信号処理)
• On the generation of very ill-conditioned integer matrices
• Some properties of solution curves of a class of nonlinear equations and the number of solutions
• Some properties of extremal points of solution curves for a class of nonlinear equations
• Proof of an inequality related to the Omega-matrix

スポンサーリンク