解絕對值方程式的新平滑函數

dc.contributor	陳界山	zh_TW
dc.contributor	Jein-Shan Chen	en_US
dc.contributor.author	余政和	zh_TW
dc.contributor.author	Cheng-He Yu	en_US
dc.date.accessioned	2019-09-05T01:05:44Z
dc.date.available	2015-07-29
dc.date.available	2019-09-05T01:05:44Z
dc.date.issued	2015
dc.description.abstract	無中文摘要	zh_TW
dc.description.abstract	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.	en_US
dc.description.sponsorship	數學系	zh_TW
dc.identifier	G060240031S
dc.identifier.uri	http://etds.lib.ntnu.edu.tw/cgi-bin/gs32/gsweb.cgi?o=dstdcdr&s=id=%22G060240031S%22.&%22.id.&
dc.identifier.uri	http://rportal.lib.ntnu.edu.tw:80/handle/20.500.12235/101534
dc.language	英文
dc.subject	平滑函數	zh_TW
dc.subject	奇異值	zh_TW
dc.subject	收斂	zh_TW
dc.subject	Smoothing function	en_US
dc.subject	singular value	en_US
dc.subject	convergence	en_US
dc.title	解絕對值方程式的新平滑函數	zh_TW
dc.title	New Smoothing Functions for Absolute Value Equation	en_US

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