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Can we approximate zeros of functions with nonzero topological degree?

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Publication:1119338
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DOI10.1016/0885-064X(88)90013-1zbMath0671.65037MaRDI QIDQ1119338

S. H. Smith

Publication date: 1988

Published in: Journal of Complexity (Search for Journal in Brave)


zbMATH Keywords

topological degreecontinuous functionbisection methodsmooth bivariate function


Mathematics Subject Classification ID

Degree, winding number (55M25) Numerical computation of solutions to single equations (65H05)


Related Items (1)

Optimal solution of nonlinear equations



Cites Work

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  • For which error criteria can we solve nonlinear equations?
  • Bisection is optimal
  • Extensions of Lemke's algorithm for the linear complementarity problem
  • Simplicial and Continuation Methods for Approximating Fixed Points and Solutions to Systems of Equations


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