| Title:
|
A rational canonical form algorithm (English) |
| Author:
|
Matthews, Keith R. |
| Language:
|
English |
| Journal:
|
Mathematica Bohemica |
| ISSN:
|
0862-7959 (print) |
| ISSN:
|
2464-7136 (online) |
| Volume:
|
117 |
| Issue:
|
3 |
| Year:
|
1992 |
| Pages:
|
315-324 |
| Summary lang:
|
English |
| . |
| Category:
|
math |
| . |
| Summary:
|
We present an easy-to-implement algorithm for transforming a matrix to rational canonical form. (English) |
| Keyword:
|
rational canonical form |
| Keyword:
|
Jordan canonical form |
| Keyword:
|
algorithm |
| MSC:
|
15A21 |
| MSC:
|
65F30 |
| idZBL:
|
Zbl 0763.15002 |
| idMR:
|
MR1184545 |
| DOI:
|
10.21136/MB.1992.126286 |
| . |
| Date available:
|
2009-09-24T20:54:15Z |
| Last updated:
|
2020-07-29 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/126286 |
| . |
| Reference:
|
[1] S.H. Friedberg A.J. Insel L.E. Spence: Linear Algebгa.Prentice-Hall, New Jersey, 1979. MR 0548724 |
| Reference:
|
[2] N. Jacobson: Basic algebra I.W. H. Freeman and Company, 1974. Zbl 0284.16001, MR 0356989 |
| Reference:
|
[3] C.C. MacDuffee: The theoгy of matrices.Chelsea Publishing Company, New York, 1946. |
| Reference:
|
[4] L. Mirsky: .Oxfoгd University Press, London, 1961. Zbl 0101.25501 |
| Reference:
|
[5] M. Pearl: Matrix theoгy and finite mathematics.McGraw-Hill, New York, 1973. MR 0335530 |
| Reference:
|
[6] S. Perlis: Theoгy of matгices.Addison-Wesley, Reading, Massachusetts, 1958, Second edition. |
| Reference:
|
[7] J. Rotman: The theory of groups.Allyn and Bacon, Boston, 1973, Second edition. Zbl 0262.20001 |
| Reference:
|
[8] H. Väliaho: An elementary approach to the Jordan canonical form of a matrix.Amer. Math. Monthly 95 (1986), 711-714. MR 0863972, 10.2307/2322285 |
| . |
