A Three-Dimensional Analogue to the Method of Bisections for Solving Nonlinear Equations

DOI10.2307/2006307zbMath0412.65029OpenAlexW4243887653MaRDI QIDQ4199454

Krzysztof Sikorski

Publication date: 1979

Full work available at URL: https://doi.org/10.2307/2006307

zbMATH Keywords

algorithmconvergencebisection methodzeros of nonlinear functions in R3-space

Mathematics Subject Classification ID

Numerical computation of solutions to systems of equations (65H10) Polyhedra and polytopes; regular figures, division of spaces (51M20)

Related Items (6)

Optimal solution of nonlinear equations ⋮ On global and local mesh refinements by a generalized conforming bisection algorithm ⋮ Computation of Topological Degree Using Interval Arithmetic, and Applications ⋮ On the complexity of isolating real roots and computing with certainty the topological degree ⋮ Longest-edge \(n\)-section algorithms: properties and open problems ⋮ On generalized bisection of 𝑛-simplices

Cites Work

• Unnamed Item
• Computing the topological degree of a mapping in \(R^n\)
• A two-dimensional analogue to the method of bisections for solving nonlinear equations

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