Autor:	Cheng-He Yu, 余政和
Rok vydání:	2015
Druh dokumentu:	學位論文 ; thesis
Popis:	103 The system of absolute value equations Ax + B\|x\| = b, denoted by AVEs, is a non-differentiable NP-hard problem, where A,B are arbitrary given n × n real matrices and b is arbitrary given n-dimensional vector. In this paper, we study four new smoothing functions and propose a smoothing-type algorithm to solve AVEs. With the assumption that the minimal singular value of the matrix A being strictly greater than the maximal singular value of the matrix B, we prove that the algorithm is globally and locally quadratically convergent with the four smooth equations.
Databáze:	Networked Digital Library of Theses & Dissertations
Externí odkaz:	http://ndltd.ncl.edu.tw/handle/32367124646984853180 Zobrazit plný text záznamu