Experiments with Conjugate Gradient Algorithms for Homotopy Curve Tracking

DOI10.1137/0801016zbMath0757.65057OpenAlexW2127925969MaRDI QIDQ4012422

Calvin J. Ribbens, Homer F. Walker, K. M. Irani, Layne T. Watson, Manohar P. Kamat

Publication date: 27 September 1992

Published in: SIAM Journal on Optimization (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1137/0801016

zbMATH Keywords

global convergencesparse matrixmatrix splittinghomotopy algorithmbordered matrixpreconditioned conjugate gradienthomotopy curve trackinglarge scale, sparse structural mechanics problems

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)

Related Items (5)

Unnamed Item ⋮ High-dimensional homotopy curve tracking on a shared-memory multiprocessor ⋮ A MULTIGRID-LANCZOS ALGORITHM FOR THE NUMERICAL SOLUTIONS OF NONLINEAR EIGENVALUE PROBLEMS ⋮ Conjugate gradient type methods for semilinear elliptic problems with symmetry ⋮ Preconditioned iterative methods for sparse linear algebra problems arising in circuit simulation

Uses Software

• PITCON

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