Document Type

Article

Publication Date

2009

Abstract

Many applications give rise to separable parameterized equations, which have the form A(y, µ)z + b(y, µ) = 0, where zRN , yRn, µRs, and the (N + n) × N matrix A(y, µ) and (N + n) vector b(y, µ) are C2 -Lipschitzian in (y, µ) ∈ Ω ⊂ Rn × Rs. We present a technique which reduces the original equation to the form f (y, µ) = 0, where f : Ω → Rn is C2 -Lipschitzian in (y, µ). This reduces the dimension of the space within which the bifurcation relation occurs. We derive expressions required to implement methods to solve the reduced equation. Numerical examples illustrate the use of the technique.

Publication Title

Electronic Transactions on Numerical Analysis

Volume

34

First Page

31

Last Page

43

Required Publisher's Statement

Copyright 2009, Kent State University. ISSN 1068-9613

Included in

Mathematics Commons

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