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Some Methods For Solving Multinomial Equation Systems

Posted on:2012-03-29Degree:MasterType:Thesis
Country:ChinaCandidate:H Y HuangFull Text:PDF
GTID:2210330368496942Subject:Computational Mathematics
Abstract/Summary:PDF Full Text Request
In the economic construction and technology development process of human life,computng plays an extremely important role. In science and engineering calculation,solving polynomial equation is one of the most common problems. Many computingproblems , such as Natural life and engineering science can be summarized as solvingequations. When Process algebraic equations ,the calculating process will be simple ifthe variable is fewer, and be complicated if the variable is more. From qualitative analysisto quantitative analysis, we should give specific calculation To solving the problems andexamples . Solving extremely complex nonlinear algebraic equations , we should useo various of methods comprehensively. Newton's method as well as Newton-Raphsonmethod is an Approximate equation method invented by Newton in the 17th century. Itis impossible for precise roots because most equations do not exist root-finding formula.So it is imperative to look for the Approximate root . Homotopy method can solve someengineering problems. This paper summarizes several methods and will provide someconvenience for solving nonlinear equations .
Keywords/Search Tags:Nonlinear equations, Groebner basic method, Newton's method, Wu elim-ination, Eigenvalue method, Homotopy method
PDF Full Text Request
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