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Unreachable roots for global homotopy continuation methods

✍ Scribed by Soo Hyoung Choi; Neil L. Book

Book ID: 101430207
Publisher: American Institute of Chemical Engineers
Year: 1991
Tongue: English
Weight: 236 KB
Volume: 37
Category: Article
ISSN: 0001-1541
DOI: 10.1002/aic.690370713

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## Abstract Motivated by numerical examples in solving semilinear elliptic PDEs for multiple solutions, some properties of Newton homotopy continuation method, such as its continuation on symmetries, the Morse index, and certain functional structures, are established. Those results provide useful i