Abstract
This chapter is an elementary introduction into the general theme of this book.We start from the historical root, Newton’s method for scalar equations (Section 1.1): the method can be derived either algebraically, which leads to local Newton methods only (see Chapter 2), or geometrically, which leads to global Newton methods via the topological Newton path (see Chapter 3).
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© 2011 Springer-Verlag Berlin Heidelberg
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Deuflhard, P. (2011). Introduction. In: Newton Methods for Nonlinear Problems. Springer Series in Computational Mathematics, vol 35. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-23899-4_1
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DOI: https://doi.org/10.1007/978-3-642-23899-4_1
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Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-642-23898-7
Online ISBN: 978-3-642-23899-4
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