1. NAME AND TITLE
REGN: Code System for Solving Nonlinear Systems of Equations via the Gauss-Newton
EXAMP: Test Program.
Institute of Nuclear Research and Nuclear Energy, Bulgarian Academy of Sciences, Sofia,
3. CODING LANGUAGE AND COMPUTER
Fortran IV; IBM 360/370.
4. NATURE OF PROBLEM SOLVED
REGN solves nonlinear systems of numerical equations in difficult cases: high nonlinearity, poor
initial approximations, a large number of unknowns, ill condition or degeneracy of a problem.
5. METHOD SOLUTION
REGN uses different variants of regularized iteration methods of the Gauss-Newton type.
6. RESTRICTIONS OR LIMITATIONS
The basic restriction is n < 200.
7. TYPICAL RUNNING TIME
The running time of the main algorithm depends upon the magnitude of the control E0. The
numeric differentiation being used slows down the iteration procedure.
8. COMPUTER HARDWARE REQUIREMENTS
REGN is operable on the IBM 360/370 computers
9. COMPUTER SOFTWARE REQUIREMENTS
A Fortran IV compiler is required.
L. Alexsandrov, M. Drenska, and D. Karadjov, "The Programme Package REGN for Solving
Nonlinear Systems of Equations by Means of Regularized Methods of the Gauss-Newton Type,"
11. CONTENTS OF CODE PACKAGE
Included are the referenced document and one (1.2MB) DOS diskette which contains the source
code and test program.
12. DATE OF ABSTRACT
KEYWORD: DIFFERENTIAL EQUATION SOLVING