Application of Universal Grey Algorithm to Solutions of Algebraic Based on Wu Elimination Method
One of the most important methods used to find the solutions of a system of general algebraic equations is Wu's method. In this paper we describe how to employ the universal Grey algorithm to Wu's method in order to transform the problem to finding the zeros of universal Grey algebraic equ...
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creator | Xiaoyi Che Youxin Luo Jirong Yang Zheming He |
description | One of the most important methods used to find the solutions of a system of general algebraic equations is Wu's method. In this paper we describe how to employ the universal Grey algorithm to Wu's method in order to transform the problem to finding the zeros of universal Grey algebraic equations. We discuss how the lack of stability and coefficient growth of Wu's method is mitigated by our improvement. We present numerical examples to exhibit the advantages of our method. |
doi_str_mv | 10.1109/ICNC.2008.76 |
format | Conference Proceeding |
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In this paper we describe how to employ the universal Grey algorithm to Wu's method in order to transform the problem to finding the zeros of universal Grey algebraic equations. We discuss how the lack of stability and coefficient growth of Wu's method is mitigated by our improvement. We present numerical examples to exhibit the advantages of our method.</description><identifier>ISSN: 2157-9555</identifier><identifier>ISBN: 9780769533049</identifier><identifier>ISBN: 0769533043</identifier><identifier>DOI: 10.1109/ICNC.2008.76</identifier><identifier>LCCN: 2008904182</identifier><language>eng</language><publisher>IEEE</publisher><subject>Algebra ; Computer applications ; Computer vision ; Helium ; Integral equations ; Mathematics ; Mechanical engineering ; Nonlinear equations ; Polynomials ; Transforms</subject><ispartof>2008 Fourth International Conference on Natural Computation, 2008, Vol.1, p.289-293</ispartof><woscitedreferencessubscribed>false</woscitedreferencessubscribed></display><links><openurl>$$Topenurl_article</openurl><openurlfulltext>$$Topenurlfull_article</openurlfulltext><thumbnail>$$Tsyndetics_thumb_exl</thumbnail><linktohtml>$$Uhttps://ieeexplore.ieee.org/document/4666856$$EHTML$$P50$$Gieee$$H</linktohtml><link.rule.ids>309,310,777,781,786,787,2052,27906,54901</link.rule.ids><linktorsrc>$$Uhttps://ieeexplore.ieee.org/document/4666856$$EView_record_in_IEEE$$FView_record_in_$$GIEEE</linktorsrc></links><search><creatorcontrib>Xiaoyi Che</creatorcontrib><creatorcontrib>Youxin Luo</creatorcontrib><creatorcontrib>Jirong Yang</creatorcontrib><creatorcontrib>Zheming He</creatorcontrib><title>Application of Universal Grey Algorithm to Solutions of Algebraic Based on Wu Elimination Method</title><title>2008 Fourth International Conference on Natural Computation</title><addtitle>ICNC</addtitle><description>One of the most important methods used to find the solutions of a system of general algebraic equations is Wu's method. In this paper we describe how to employ the universal Grey algorithm to Wu's method in order to transform the problem to finding the zeros of universal Grey algebraic equations. We discuss how the lack of stability and coefficient growth of Wu's method is mitigated by our improvement. We present numerical examples to exhibit the advantages of our method.</description><subject>Algebra</subject><subject>Computer applications</subject><subject>Computer vision</subject><subject>Helium</subject><subject>Integral equations</subject><subject>Mathematics</subject><subject>Mechanical engineering</subject><subject>Nonlinear equations</subject><subject>Polynomials</subject><subject>Transforms</subject><issn>2157-9555</issn><isbn>9780769533049</isbn><isbn>0769533043</isbn><fulltext>true</fulltext><rsrctype>conference_proceeding</rsrctype><creationdate>2008</creationdate><recordtype>conference_proceeding</recordtype><sourceid>6IE</sourceid><sourceid>RIE</sourceid><recordid>eNotjE9PwjAYh5soiYi7efPSLzB8--dt1yMuiCSoByUese06qdkY2QYJ314WPP0Ov-d5CLlnMGUMzOMyf8unHCCbanVFEqMz0MqgECDNNRlzhjo1iDgitwNlQLKM35Ck634BQDCtNZgx-Z7t91X0to_NjjYlXe_iMbSdreiiDSc6q36aNvbbmvYN_Wiqw8B1A3h-gmtt9PTJdqGgZ_3rQOdVrOPuUnsN_bYp7siotFUXkv-dkPXz_DN_SVfvi2U-W6WRaexT5TkrvZMZLzk4QBcUWqF85tFDydGBM-BCYZREL5VjwqBGrqU2phDSiwl5uHRjCGGzb2Nt29NGKqUyVOIPM1ZWMw</recordid><startdate>200810</startdate><enddate>200810</enddate><creator>Xiaoyi Che</creator><creator>Youxin Luo</creator><creator>Jirong Yang</creator><creator>Zheming He</creator><general>IEEE</general><scope>6IE</scope><scope>6IL</scope><scope>CBEJK</scope><scope>RIE</scope><scope>RIL</scope></search><sort><creationdate>200810</creationdate><title>Application of Universal Grey Algorithm to Solutions of Algebraic Based on Wu Elimination Method</title><author>Xiaoyi Che ; Youxin Luo ; Jirong Yang ; Zheming He</author></sort><facets><frbrtype>5</frbrtype><frbrgroupid>cdi_FETCH-LOGICAL-i175t-6c21fcb482f20b05be65a36c8c5c0f25b0b90bed9645c46b139575274799d34c3</frbrgroupid><rsrctype>conference_proceedings</rsrctype><prefilter>conference_proceedings</prefilter><language>eng</language><creationdate>2008</creationdate><topic>Algebra</topic><topic>Computer applications</topic><topic>Computer vision</topic><topic>Helium</topic><topic>Integral equations</topic><topic>Mathematics</topic><topic>Mechanical engineering</topic><topic>Nonlinear equations</topic><topic>Polynomials</topic><topic>Transforms</topic><toplevel>online_resources</toplevel><creatorcontrib>Xiaoyi Che</creatorcontrib><creatorcontrib>Youxin Luo</creatorcontrib><creatorcontrib>Jirong Yang</creatorcontrib><creatorcontrib>Zheming He</creatorcontrib><collection>IEEE Electronic Library (IEL) Conference Proceedings</collection><collection>IEEE Proceedings Order Plan All Online (POP All Online) 1998-present by volume</collection><collection>IEEE Xplore All Conference Proceedings</collection><collection>IEEE Electronic Library (IEL)</collection><collection>IEEE Proceedings Order Plans (POP All) 1998-Present</collection></facets><delivery><delcategory>Remote Search Resource</delcategory><fulltext>fulltext_linktorsrc</fulltext></delivery><addata><au>Xiaoyi Che</au><au>Youxin Luo</au><au>Jirong Yang</au><au>Zheming He</au><format>book</format><genre>proceeding</genre><ristype>CONF</ristype><atitle>Application of Universal Grey Algorithm to Solutions of Algebraic Based on Wu Elimination Method</atitle><btitle>2008 Fourth International Conference on Natural Computation</btitle><stitle>ICNC</stitle><date>2008-10</date><risdate>2008</risdate><volume>1</volume><spage>289</spage><epage>293</epage><pages>289-293</pages><issn>2157-9555</issn><isbn>9780769533049</isbn><isbn>0769533043</isbn><abstract>One of the most important methods used to find the solutions of a system of general algebraic equations is Wu's method. In this paper we describe how to employ the universal Grey algorithm to Wu's method in order to transform the problem to finding the zeros of universal Grey algebraic equations. We discuss how the lack of stability and coefficient growth of Wu's method is mitigated by our improvement. We present numerical examples to exhibit the advantages of our method.</abstract><pub>IEEE</pub><doi>10.1109/ICNC.2008.76</doi><tpages>5</tpages></addata></record> |
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subjects | Algebra Computer applications Computer vision Helium Integral equations Mathematics Mechanical engineering Nonlinear equations Polynomials Transforms |
title | Application of Universal Grey Algorithm to Solutions of Algebraic Based on Wu Elimination Method |
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