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Interative Solution of Nonlinear Equations in Several Variables (Paperback, Revised)
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Interative Solution of Nonlinear Equations in Several Variables (Paperback, Revised)
Series: Classics in Applied Mathematics, v. 30
Expected to ship within 12 - 19 working days
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Provides a survey of the theoretical results on systems of
nonlinear equations in finite dimension and the major iterative
methods for their computational solution. Originally published in
1970, it offers a research-level presentation of the principal
results known at that time. Although the field has developed since
the book originally appeared, it remains a major background
reference for the literature before 1970. In particular, Part II
contains the only relatively complete introduction to the existence
theory for finite-dimensional nonlinear equations from the
viewpoint of computational mathematics. Over the years semilocal
convergence results have been obtained for various methods,
especially with an emphasis on error bounds for the iterates. The
results and proof techniques introduced here still represent a
solid basis for this topic.
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