# Linear stationary second-degree methods for the solution of large linear systems

## Abstract

The optimum linear stationary second-degree iterative method for solving linear systems of equations is not as good in general as the optimum semi-iterative method. However, for a suitable choice of parameters, the rate of convergence of the stationary method is very nearly as good as that of the semi-iterative method. The authors present a straightforward determination of these optimum parameter values and the asymptotic rate of convergence.

- Authors:

- Publication Date:

- Research Org.:
- Univ. of Texas, Center for Numerical Analysis, Austin, TX (United States)

- Sponsoring Org.:
- USDOE Office of Energy Research, Washington, DC (United States)

- OSTI Identifier:
- 674848

- Report Number(s):
- DOE/ER/25048-40; CNA-244

ON: DE99000717; TRN: AHC29820%%303

- DOE Contract Number:
- FG05-87ER25048

- Resource Type:
- Technical Report

- Resource Relation:
- Other Information: PBD: 9 Jul 1990

- Country of Publication:
- United States

- Language:
- English

- Subject:
- 99 MATHEMATICS, COMPUTERS, INFORMATION SCIENCE, MANAGEMENT, LAW, MISCELLANEOUS; ITERATIVE METHODS; CONVERGENCE; OPTIMIZATION; EQUATIONS; MATRICES; MATHEMATICS

### Citation Formats

```
Young, D.M., and Kincaid, D.R..
```*Linear stationary second-degree methods for the solution of large linear systems*. United States: N. p., 1990.
Web. doi:10.2172/674848.

```
Young, D.M., & Kincaid, D.R..
```*Linear stationary second-degree methods for the solution of large linear systems*. United States. doi:10.2172/674848.

```
Young, D.M., and Kincaid, D.R.. Mon .
"Linear stationary second-degree methods for the solution of large linear systems". United States.
doi:10.2172/674848. https://www.osti.gov/servlets/purl/674848.
```

```
@article{osti_674848,
```

title = {Linear stationary second-degree methods for the solution of large linear systems},

author = {Young, D.M. and Kincaid, D.R.},

abstractNote = {The optimum linear stationary second-degree iterative method for solving linear systems of equations is not as good in general as the optimum semi-iterative method. However, for a suitable choice of parameters, the rate of convergence of the stationary method is very nearly as good as that of the semi-iterative method. The authors present a straightforward determination of these optimum parameter values and the asymptotic rate of convergence.},

doi = {10.2172/674848},

journal = {},

number = ,

volume = ,

place = {United States},

year = {Mon Jul 09 00:00:00 EDT 1990},

month = {Mon Jul 09 00:00:00 EDT 1990}

}

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