Bordered augmented linear systems in numerical continuation and bifurcation

DOI10.1007/BF01385630zbMath0696.65049OpenAlexW2059034106MaRDI QIDQ911231

Willy Govaerts

Publication date: 1990

Published in: Numerische Mathematik (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/133506

zbMATH Keywords

error analysisturning pointssymmetry-breaking bifurcationalgorithm GMBEblack box solverblock eliminationblock linear system

Mathematics Subject Classification ID

Numerical computation of solutions to systems of equations (65H10) Global methods, including homotopy approaches to the numerical solution of nonlinear equations (65H20) Iterative numerical methods for linear systems (65F10) Direct numerical methods for linear systems and matrix inversion (65F05)

Related Items (2)

Numerical Liapunov-Schmidt spectral method for \(k\)-determined problems ⋮ Multiple bifurcations in a reaction-diffusion problem

Uses Software

• PITCON

Cites Work

• Unnamed Item
• Unnamed Item
• Block elimination with one refinement solves bordered linear systems accurately
• Matrix computations.
• The Computation of Symmetry-Breaking Bifurcation Points
• A New Measure of Relative Error for Vectors
• Deflation Techniques and Block-Elimination Algorithms for Solving Bordered Singular Systems
• Folds in Solutions of Two Parameter Systems and Their Calculation. Part I
• Multiplicative Error Analysis of Matrix Transformation Algorithms
• The Calculation of Turning Points of Nonlinear Equations
• Stable Solvers and Block Elimination for Bordered Systems
• Iterative refinement implies numerical stability
• A New Approach to Error Arithmetic

This page was built for publication: Bordered augmented linear systems in numerical continuation and bifurcation