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Inverse pairs of test matrices
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Source ACM Transactions on Mathematical Software (TOMS) archive
Volume 11 ,  Issue 3  (September 1985) table of contents
Pages: 302 - 304  
Year of Publication: 1985
ISSN:0098-3500
Author
Wilhelm S. Ericksen  Air Force Institute of Technology, Department of Mathematics and Statistics, Wright State University, Dayton, OH
Publisher
ACM  New York, NY, USA
Bibliometrics
Downloads (6 Weeks): 2,   Downloads (12 Months): 17,   Citation Count: 1
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abstract   references   cited by   index terms  

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ABSTRACT

Algorithms that are readily programmable are provided for constructing inverse pairs of matrices with elements in a field, a division ring, or a ring.


REFERENCES

Note: OCR errors may be found in this Reference List extracted from the full text article. ACM has opted to expose the complete List rather than only correct and linked references.

 
1
ERICKSEN, W.S. Inverse pairs of matrices with integer elements. SIAM J. Numer. Anal. 85 (1980).
 
2
GREGORY, R. T., AND HARNE, D. L. A Collection of Matrices {or Testing Computational Algorithms. John Wiley, New York (1969).
 
3
RICE, J.R. Matrix Computations and Mathematical Software. McGraw-Hill, New York (1981).
 
4
WESTLAKE, J. R. A Handbook of Numerical Matrix Inversion and Systems of Linear Equations. John Wiley, New York (1968).

CITED BY
Z. Arone , P. Jansen , P. Weidner, Some tests of the numerical procedures of Pascal-SC, ACM SIGSMALL/PC Notes, v.14 n.1, p.47-55, February 1988

INDEX TERMS

Classification:
  G. Mathematics of Computing
  G.1 NUMERICAL ANALYSIS
      G.1.0 General
          Subjects: Conditioning (and ill-conditioning); Numerical algorithms
      G.1.3 Numerical Linear Algebra
          Subjects: Conditioning; Matrix inversion


General Terms:
Algorithms


Keywords:
ill-conditioned matrices, inverse pairs of matrices, matrices over rings


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