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Applicable Analysis
An International Journal
Volume 9, 1979 - Issue 1
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Original Articles

An algorithm for numerical calculation of topological degree

Martin Stynes
&
P. M. AnseloneView further author information
Pages 63-77 | Published online: 10 May 2007

Citations (18)

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M.N. Vrahatis, O. Ragos, T. Skiniotis, F.A. Zafiropoulos & T.N. Grapsa. (1997) The topological degree theory for the localization and computation of complex zeros of bessel functions. Numerical Functional Analysis and Optimization 18:1-2, pages 227-234.
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Articles from other publishers (17)

K.E. Parsopoulos & M.N. Vrahatis. (2003) Investigating the existence of function roots using particle swarm optimization. Investigating the existence of function roots using particle swarm optimization.
B. Mourrain, M.N. Vrahatis & J.C. Yakoubsohn. (2002) On the Complexity of Isolating Real Roots and Computing with Certainty the Topological Degree. Journal of Complexity 18:2, pages 612-640.
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R. Baker Kearfott, Jianwei Dian & A. Neumaier. (2000) Existence Verification for Singular Zeros of Complex Nonlinear Systems. SIAM Journal on Numerical Analysis 38:2, pages 360-379.
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D. J. Kavvadias, F. S. Makri & M. N. Vrahatis. (1999) Locating and Computing Arbitrarily Distributed Zeros. SIAM Journal on Scientific Computing 21:3, pages 954-969.
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Misako Yokoyama. (1997) Computing the Topological Degree with Noisy Information. Journal of Complexity 13:2, pages 272-278.
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M. N. Vrahatis, T. N. Grapsa, O. Ragos & F. A. Zafiropoulos. (2006) On the Localization and Computation of Zeros of Bessel Functions. ZAMM - Journal of Applied Mathematics and Mechanics / Zeitschrift für Angewandte Mathematik und Mechanik 77:6, pages 467-475.
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Dimitris J. Kavvadias & Michael N. Vrahatis. (1996) Locating and Computing All the Simple Roots and Extrema of a Function. SIAM Journal on Scientific Computing 17:5, pages 1232-1248.
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Misako Yokoyama. (1990) Computing topological degree using noisy information. Journal of Complexity 6:4, pages 379-388.
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T. Boult & K. Sikorski. (1989) An Optimal Complexity Algorithm for Computing the Topological Degree in Two Dimensions. SIAM Journal on Scientific and Statistical Computing 10:4, pages 686-698.
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K. Sikorski. 1989. Robustness in Identification and Control. Robustness in Identification and Control 49 58 .
Wolfgang Kliesch. (2006) A Unified Constructive Approach to the Topological Degree in R n . Mathematische Nachrichten 142:1, pages 181-213.
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Michael N. Vrahatis. (1988) Solving systems of nonlinear equations using the nonzero value of the topological degree. ACM Transactions on Mathematical Software 14:4, pages 312-329.
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T Boult & K Sikorski. (1986) Complexity of computing topological degree of lipschitz functions in n dimensions. Journal of Complexity 2:1, pages 44-59.
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K Sikorski. (1985) Optimal solution of nonlinear equations. Journal of Complexity 1:2, pages 197-209.
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Martin Stynes. (1981) On the construction of sufficient refinements for computation of topological degree. Numerische Mathematik 37:3, pages 453-462.
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Martin Stynes. (1979) A simplification of Stenger's topological degree formula. Numerische Mathematik 33:2, pages 147-155.
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Martin Stynes. (1979) On faster convergence of the bisection method for certain triangles. Mathematics of Computation 33:146, pages 717-721.
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