Abstract
Nonlinear systems of equations of the separable form A(y)z+ b(y) = 0, with only one nonlinear variable y ∈ IR, can be reduced to a single nonlinear equation in y. We develop a technique for the case in which A(y) has rank deficiency one. The method requires only one LU factorization per iteration and is quadratically convergent. Numerical examples and applications are provided. © Springer-Verlag 2004.
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CITATION STYLE
Shen, Y. Q., & Ypma, T. J. (2004). Solving Separable Nonlinear Equations with Jacobians of Rank Deficiency One. Lecture Notes in Computer Science (Including Subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics), 3314, 99–104. https://doi.org/10.1007/978-3-540-30497-5_16
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