A geometrical interpretation of the without-exception feasibility of PL homotopy methods

DOI10.1007/BF02005953zbMath0714.55001MaRDI QIDQ750942

Ze-Ke Wang

Publication date: 1989

Published in: Acta Mathematicae Applicatae Sinica. English Series (Search for Journal in Brave)

zbMATH Keywords

complementary pivotingcomplete n-simplicesPL-homotopy methods for finding zeroes of a mapvector labelling

Mathematics Subject Classification ID

Global methods, including homotopy approaches to the numerical solution of nonlinear equations (65H20) Fixed points and coincidences in algebraic topology (55M20) PL-topology (57Q99)

Related Items (1)

On the complexity of a PL homotopy algorithm for zeros of polynomials

Cites Work

• The computation of fixed points and applications
• Computation of all solutions to a system of polynomial equations
• Simplicial and Continuation Methods for Approximating Fixed Points and Solutions to Systems of Equations
• The Solution of Systems of Piecewise Linear Equations
• A PL homotopy for finding all the roots of a polynomial
• Finding all solutions to polynomial systems and other systems of equations
• Unnamed Item

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