Rheinboldt, W. C. (1986). Numerical Analysis of Parameterized Nonlinear Equations. University of Arkansas Lecture Notes in Mathematical Sciences. John Wiley & Sons.

One of the leading experts in the field discusses recent developments in the numerical analysis of nonlinear equations involving a finite number of parameters. Shows how these equations can be developed on a differential geometric basis. Topics include equilibrium manifolds, path-tracing on manifolds, aspects of computational stability analysis, discretization errors of parameterized equations, and computational error assessment and related questions.

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