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|Type:||Artigo de periódico|
|Title:||A THEORY OF SECANT PRECONDITIONERS|
|Abstract:||In this paper we analyze the use of structured quasi-Newton formulae as preconditioners of iterative linear methods when the inexact-Newton approach is employed for solving nonlinear systems of equations. We prove that superlinear convergence and bounded work per iteration is obtained if the preconditioners satisfy a Dennis-More condition. We develop a theory of Least-Change Secant Update preconditioners and we present an application concerning a structured BFGS preconditioner.|
|Editor:||Amer Mathematical Soc|
|Appears in Collections:||Artigos e Materiais de Revistas Científicas - Unicamp|
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