On accelerating PL continuation algorithms by predictor—corrector methods

LINPACK Users' Guide

1979 • 1,741 citations

Simplicial and Continuation Methods for Approximating Fixed Points and Solutions to Systems of Equations

1980 • 437 citations

The Computation of Fixed Points and Applications

1976 • 416 citations

Homotopies for computation of fixed points

1972 • 327 citations

Homotopies for computation of fixed points on unbounded regions

1972 • 214 citations

A globally convergent algorithm for computing fixed points of C2 maps

1979 • 160 citations

A restart algorithm for computing fixed points without an extra dimension

1979 • 131 citations

On Algorithms for Solving f(x)=0

1979 • 128 citations

A stepsize control for continuation methods and its special application to multiple shooting techniques

1979 • 95 citations

On the Convergence Rate of Algorithms for Solving Equations that are Based on Methods of Complementary Pivoting

1977 • 74 citations

Zur L�sung parameterabh�ngiger nichtlinearer Gleichungen mit singul�ren Jacobi-Matrizen

1978 • 60 citations

On Tracing an Implicitly Defined Curve by Quasi-Newton Steps and Calculating Bifurcation by Local Perturbations

1981 • 59 citations

Efficient Acceleration Techniques for Fixed Point Algorithms

1978 • 47 citations

Nonlinear elliptic boundary value problems versus their finite difference approximations: numerically irrelevant solutions.

1981 • 43 citations

The Leray-Schauder continuation method is a constructive element in the numerical study of nonlinear eigenvalue and bifurcation problems

1979 • 36 citations

Topological Perturbations in the Numerical Study of Nonlinear Eigenvalue and Bifurcation Problems

1980 • 30 citations

A PL homotopy for finding all the roots of a polynomial

1979 • 21 citations

Exploiting structure in piecewise-linear homotopy algorithms for solving equations

1980 • 18 citations

Triangulations by Reflections with Applications to Approximation

1978 • 14 citations

A derivative-free arc continuation method and a bifurcation technique

1981 • 12 citations

Two New Triangulations for Homotopy Fixed Point Algorithms with an Arbitrary Grid Refinement

1980 • 8 citations

Numerische Behandlung von elliptischen Randwertproblemen mit mehreren Lösungen und von MHD Gleichgewichtsproblemen

1975 • 8 citations

Sind Fixpunktverfahren Effektiv?

1980 • 2 citations