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Verifying Topological Indices for Higher-Order Rank Deficiencies

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Verifying Topological Indices for Higher-Order Rank Deficiencies
It has been known how to use computational fixed point theorems to verify existence and uniqueness of a true solution to a nonlinear system of equations within a small region about an approximate solution. This can be done in O n3 operations, where n is the number of equations and unknowns. However, these standard techniques are only valid if the Jacobi matrix for the system is nonsingular at the solution. In previous work and a dissertation (of Dian), we have shown, both theoretically and practically, that existence and multiplicity can be verified in a complex setting, and in the real setting for odd multiplicity, when the rank defect of the Jacobi
R. Baker Kearfott, Jianwei Dian
Added 22 Dec 2010
Updated 22 Dec 2010
Type Journal
Year 2002
Where JC
Authors R. Baker Kearfott, Jianwei Dian
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