An Approach to Homotopy and Degree Theory
From MaRDI portal
Publication:3855821
DOI10.1287/moor.4.4.390zbMath0422.55001OpenAlexW1973043491MaRDI QIDQ3855821
No author found.
Publication date: 1979
Published in: Mathematics of Operations Research (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1287/moor.4.4.390
Homotopy equivalences in algebraic topology (55P10) Degree, winding number (55M25) Numerical methods for ordinary differential equations (65L99)
Related Items (27)
A transformation to avoid solutions at infinity for polynomial systems ⋮ A homotopy for solving polynomial systems ⋮ Differential continuation for regular optimal control problems ⋮ Rotating periodic solutions for second order systems with Hartman-type nonlinearity ⋮ A homotopy for solving general polynomial systems that respects m- homogeneous structures ⋮ Comparative statics in the large based on a fixed point algorithm ⋮ An efficient solution of Hamiltonian boundary value problems by combined Gauss pseudospectral method with differential continuation approach ⋮ A homotopy method of finding periodic solutions for ordinary differential equations from the upper and lower solutions ⋮ A boundary perturbation interior point homotopy method for solving fixed point problems ⋮ Canonical coordinates method for equality-constrained nonlinear optimization. ⋮ Geometric optimal control and applications to aerospace ⋮ A noninterior path following algorithm for solving a class of multiobjective programming problems ⋮ Optimal control homotopy perturbation method for cancer model ⋮ Boundary value problems for impulsive differential equations ⋮ Solving fixed-point problems with inequality and equality constraints via a non-interior point homotopy path-following method ⋮ A parameter perturbation homotopy continuation method for solving fixed point problems with both inequality and equality constraints ⋮ Computing singular solutions to polynomial systems ⋮ Modified homotopy methods to solve fixed points of self-mapping in a broader class of nonconvex sets ⋮ Existence of an interior path leading to the solution point of a class of fixed point problems ⋮ Finding periodic solutions of ordinary differential equations via homotopy method ⋮ Finding periodic solutions of ordinary differential equations via homotopy method ⋮ Randomized strategy equilibrium in the action commitment game with costs of leading ⋮ A methodology for solving chemical equilibrium systems ⋮ Some inequality techniques in handling fixed point problems on unbounded sets via homotopy methods ⋮ Homotopy method for solving variational inequalities ⋮ A globally convergent method for finding zeros of smooth functions ⋮ Solving nonlinear programming problems with unbounded non-convex constraint sets via a globally convergent algorithm
This page was built for publication: An Approach to Homotopy and Degree Theory
