Bifurcations in parametric nonlinear programming

Uses Software

PITCON
HOMPACK

Cites Work

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A bifurcation analysis of the nonlinear parametric programming problem
One-parameter families of optimization problems: equality constraints
Stability of parametrized families of gradient vector fields
Introduction to sensitivity and stability analysis in nonlinear programming
Singularities and groups in bifurcation theory. Volume I
Numerical methods in bifurcation problems. Lectures delivered at the Indian Institute of Science, Bangalore, under the T.I.F.R.-I.I.Sc. Programme in Applications of Mathematics. Notes by A. K. Nandakumaran and Mythily Ramaswamy
A stepsize control for continuation methods and its special application to multiple shooting techniques
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Iterative continuation and the solution of nonlinear two-point boundary value problems
Parametrization via secant length and application to path following
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Bifurcation from simple eigenvalues
Algorithm 652
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A locally parameterized continuation process
An Algorithm for Piecewise-Linear Approximation of an Implicitly Defined Manifold
Continuous deformation of nonlinear programs
Error estimates for nonlinear finite element computations
Structure of the first-order solution set for a class of nonlinear programs with parameters
Critical sets in parametric optimization
Numerical Linear Algebra Aspects of Globally Convergent Homotopy Methods
Efficient Numerical Pathfollowing Beyond Critical Points
Bifurcation problems in nonlinear parametric programming
Higher Order Predictors and Adaptive Steplength Control in Path Following Algorithms
Solution Fields of Nonlinear Equations and Continuation Methods
Strongly Regular Generalized Equations
An Algorithm That is Globally Convergent with Probability One for a Class of Nonlinear Two-Point Boundary Value Problems
Stability Theory for Systems of Inequalities, Part II: Differentiable Nonlinear Systems
Introduction to Numerical Continuation Methods
Variable Order Adams-Bashforth Predictors with an Error-Stepsize Control for Continuation Methods
A Pseudo-Arclength Continuation Method for Nonlinear Eigenvalue Problems

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