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Unformatted text preview: Michael T. Heath Scientic Computing 10 / 55 Nonlinear Equations Numerical Methods in One Dimension Methods for Systems of Nonlinear Equations Nonlinear Equations Solutions and Sensitivity Convergence Sensitivity and Conditioning Michael T. Heath Scientic Computing 11 / 55 Nonlinear Equations Numerical Methods in One Dimension Methods for Systems of Nonlinear Equations Nonlinear Equations Solutions and Sensitivity Convergence Sensitivity and Conditioning What do we mean by approximate solution x to nonlinear system, k f ( x ) k or k xx * k 0 ? First corresponds to small residual, second measures closeness to (usually unknown) true solution x * Solution criteria are not necessarily small simultaneously Small residual implies accurate solution only if problem is wellconditioned Michael T. Heath Scientic Computing 12 / 55...
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This note was uploaded on 01/19/2012 for the course CMPSC 451 taught by Professor Staff during the Spring '08 term at Pennsylvania State University, University Park.
 Spring '08
 staff

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