A Review of Solution Techniques
This chapter reviews classic and well implemented solution techniques for linear and nonlinear systems. First, we discuss direct and iterative methods for linear systems. Some of these methods are part of the fundamental building blocks for many techniques for solving nonlinear systems presented later. The topic has been extensively studied and many methods have been analyzed in scientific computing literature, see e.g. Golub and Van Loan , Gill et al. , Barrett et al.  and Hageman and Young .
KeywordsNewton Method Gaussian Elimination Newton Step BiConjugate Gradient Nonstationary Method
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