# Solving sparse quadratic lambda-matrix problems

## Abstract

Methods are examined for computing all the eigenvalues in a user-supplied interval (a,b), and their associated eigenvectors, of the quadratic lambda-matrix problem (Mlambda/sup 2/ + Clambda + K)x = 0, where the matrices are sufficiently sparse that methods based on similarity transformations are inappropriate. 2 tables.

- Authors:

- Publication Date:

- Research Org.:
- Union Carbide Corp., Oak Ridge, TN (USA). Computer Sciences Div.

- OSTI Identifier:
- 7092585

- Report Number(s):
- ORNL/CSD-69

- DOE Contract Number:
- W-7405-ENG-26

- Resource Type:
- Technical Report

- Country of Publication:
- United States

- Language:
- English

- Subject:
- 99 GENERAL AND MISCELLANEOUS//MATHEMATICS, COMPUTING, AND INFORMATION SCIENCE; MATRICES; EIGENVALUES; EIGENVECTORS; CALCULATION METHODS; ITERATIVE METHODS; 990200* - Mathematics & Computers

### Citation Formats

```
Scott, D.S.
```*Solving sparse quadratic lambda-matrix problems*. United States: N. p., 1980.
Web.

```
Scott, D.S.
```*Solving sparse quadratic lambda-matrix problems*. United States.

```
Scott, D.S. Sat .
"Solving sparse quadratic lambda-matrix problems". United States.
```

```
@article{osti_7092585,
```

title = {Solving sparse quadratic lambda-matrix problems},

author = {Scott, D.S.},

abstractNote = {Methods are examined for computing all the eigenvalues in a user-supplied interval (a,b), and their associated eigenvectors, of the quadratic lambda-matrix problem (Mlambda/sup 2/ + Clambda + K)x = 0, where the matrices are sufficiently sparse that methods based on similarity transformations are inappropriate. 2 tables.},

doi = {},

journal = {},

number = ,

volume = ,

place = {United States},

year = {1980},

month = {11}

}

Other availability

Please see Document Availability for additional information on obtaining the full-text document. Library patrons may search WorldCat to identify libraries that may hold this item. Keep in mind that many technical reports are not cataloged in WorldCat.

Save to My Library

You must Sign In or Create an Account in order to save documents to your library.