A Robust, Parallel Homotopy Algorithm for the Symmetric Tridiagonal Eigenproblem

1998 ◽  
Vol 20 (3) ◽  
pp. 1016-1032 ◽  
Author(s):  
Michael H. Oettli
Keyword(s):  
Homotopy Algorithm

scholarly journals Applications of the PL homotopy algorithm for the computation of fixed points to unconstrained optimization problems

2013 ◽  
Vol 22 (1) ◽  
pp. 41-46
Author(s):  
ANDREI BOZANTAN ◽  
◽  
VASILE BERINDE ◽  
Keyword(s):  
Fixed Points ◽  
Unconstrained Optimization ◽  
Optimization Problems ◽  
Piecewise Linear ◽  
Local Minima ◽  
Homotopy Algorithm ◽  
Unconstrained Optimization Problems ◽  
Piecewise Linear Homotopy ◽  
Computation Of Fixed Points ◽  
Modern Programming Language

This paper describes the main aspects of the ”piecewise-linear homotopy method” for fixed point approximation proposed by Eaves and Saigal [Eaves, C. B. and Saigal, R., Homotopies for computation of fixed points on unbounded regions, Mathematical Programming, 3 (1972), No. 1, 225–237]. The implementation of the method is developed using the modern programming language C# and then is used for solving some unconstrained optimization problems. The PL homotopy algorithm appears to be more reliable than the classical Newton method in the case of the problem of finding a local minima for Schwefel’s function and other optimization problems.

Reliable design of H2 optimal reduced-order controllers via a homotopy algorithm

1992 ◽  
Author(s):  
Emmanuel G. Collins ◽  
Stephen Richter ◽  
Lawrence D. Davis
Keyword(s):  
Reduced Order ◽  
Homotopy Algorithm ◽  
Reliable Design

Numerical Schubert Calculus by the Pieri Homotopy Algorithm

2002 ◽  
Vol 40 (2) ◽  
pp. 578-600 ◽  
Author(s):  
T. Y. Li ◽  
Xiaoshen Wang ◽  
Mengnien Wu
Keyword(s):  
Schubert Calculus ◽  
Homotopy Algorithm

scholarly journals An efficient numerically robust homotopy algorithm for H2 model reduction using the optimal projecton equations

1996 ◽  
Vol 2 (2) ◽  
pp. 101-133 ◽  
Author(s):  
Emmanuel G. Collins ◽  
Sidney S. Ying ◽  
Wassim M. Haddad ◽  
Stephen Richter
Keyword(s):  
Model Reduction ◽  
Homotopy Algorithm

scholarly journals A new subdivision for computing fixed points with a homotopy algorithm

1980 ◽  
Vol 19 (1) ◽  
pp. 78-91 ◽  
Author(s):  
G. van der Laan ◽  
A. J. J. Talman
Keyword(s):  
Fixed Points ◽  
Homotopy Algorithm
Sign in / Sign up

Export Citation Format

Share Document