Publication: A UNIVAC 1108 program for obtaining rigorous error estimates for approximate solutions of systems of equations
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A UNIVAC 1108 program for obtaining rigorous error estimates for approximate solutions of systems of equations

- Technical report -
 

Author(s)
Dennis Kuba , Louis B. Rall

Institution
Mathematics Research Center, University of Wisconsin - Madison

Year
1972

Abstract
A computer program is described which obtains, by use of interval arithmetic, rigorous error bounds for approximate solutions of finite systems of nonlinear equations. The error bounds obtained include the contributions of truncation error for Newton's method, round-off error, and possible errors in the coefficients of the given system of equations.

BibTeX
@TECHREPORT{
         Kuba1972AUp,
       AUTHOR = "Dennis Kuba and Louis B. Rall",
       TITLE = "A {UNIVAC} 1108 program for obtaining rigorous error estimates for approximate
         solutions of systems of equations",
       TYPE = "Technical Summary Report",
       NUMBER = "1168",
       INSTITUTION = "Mathematics Research Center, University of Wisconsin - Madison",
       YEAR = "1972",
       REFERRED = "[Rall1996AIt].",
       KEYWORDS = "interval algorithm; root finding; error estimates; computer program;
         differentiation arithmetic.",
       ABSTRACT = "A computer program is described which obtains, by use of interval arithmetic,
         rigorous error bounds for approximate solutions of finite systems of nonlinear equations. The error
         bounds obtained include the contributions of truncation error for Newton's method, round-off
         error, and possible errors in the coefficients of the given system of equations."
}


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