The Numerical Solution of Nonlinear ProblemsChristopher T. H. Baker, Chris Phillips |
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Introduction to nonlinear algebraic equations | 3 |
APPROXIMATION | 4 |
Methods for systems of algebraic equations | 20 |
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algorithm analysis applied approach approximation assume Banach space bifurcation point bounded branch calculation Chapter coefficients completely computed consider consists continuous convergence corresponding defined DEFINITION depends derivative described determined difference differential equations discrete discussed error estimate example exists Figure finite fixed point formulae function given gives hence hold implementation implies important increase initial integral isolated iteration Jacobian known least linear machine Math matrix method necessary Newton Newton's method nonlinear norm Note numerical obtain operator parallel parameter particular polynomial possible practice problem processors properties prove reduces references replaced result satisfies scheme sequence shown simple singular smooth solution solving space stability stage step sufficiently suitable Suppose techniques term theorem theory unique usually value problems vector zeros