✦ LIBER ✦

Can we approximate zeros of functions with nonzero topological degree?

✍ Scribed by T Boult; K Sikorski

Publisher: Elsevier Science
Year: 1988
Tongue: English
Weight: 524 KB
Volume: 4
Category: Article
ISSN: 0885-064X
DOI: 10.1016/0885-064x(88)90013-1

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✦ Synopsis

The bisection method provides an affirmative answer for scalar functions. We show that the answer is negative for bivariate functions. This means, in particular, that an arbitrary continuation method cannot approximate a zero of every smooth bivariate function with nonzero topological degree. F: 1988 Academic Press. Inc.