#### Title

An Adaptive Methods for Solving Nonsymmetric Linear Systems Involving Application of SCPACK

#### Document Type

Presentation

#### Publication Date

4-21-1991

#### Abstract

Consider the following (large) system of linear equations: ** X** =

**+**

*TX***, where it is assumed that**

*c**T*is an

*n*×

*n*real matrix with 1 excluded from the spectrum of

*T*, and that

**is a real vector of dimension**

*c**n*. This paper uses results from function theory, approximation theory and conformal mapping theory, and constructs an adaptive numerical method to solve the system above with the aid of SCPACK. This adaptive method periodically estimates the eigenvalue set to obtain near-asymptotically optimal rates of convergence of the associated (

*k, l*)-step semi-iterative methods.

#### Sponsorship/Conference/Institution

Numerical Linear Algebra, Mathematisches Forschungsintitut Oberwolfach

#### Location

Baden-Württemberg, Germany

#### Recommended Citation

Li, Xiezhang.
1991.
"An Adaptive Methods for Solving Nonsymmetric Linear Systems Involving Application of SCPACK."
*Mathematical Sciences Faculty Presentations*.
Presentation 224.

https://digitalcommons.georgiasouthern.edu/math-sci-facpres/224