Proof of an inequality related to the Omega-matrix

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概要

• 論文の詳細を見る

• This paper gives a complement to the proof of our previous papers, which discussed about some properties of the solution curves of a nonlinear equation obtained from F(x)+Ax=b by deleting the first equation. The theorem is obtained under the assumption that A is an Ω-matrix. By showing rigorously the proof of the previous papers, we confirm that the solution curves possess neither maximal point nor inflection point with respect to the variable x_1.

• 一般社団法人電子情報通信学会の論文
• 2012-09-13

著者

• Nishi Tetsuo

  School Of Science And Engineering Waseda University

• TAKAHASHI Norikazu

  Kyushu University

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• 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

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