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Details for article 19 of 24 found articles
| Title: |
Similarity to symmetric matrices over fields which are not formally real |
| Author: |
Bender, Edward A. Brawley, J. V. |
| Appeared in: |
Linear & multilinear algebra |
| Paging: | Volume 3 (1975) nr. 1-2 pages 3-8 |
| Year: |
1975 |
| Contents: |
We show that a matrix is similar to a symmetric matrix over a field of characteristic 2 if and only if the minimum polynomial of the matrix is not the product of distinct irreducible polynomials whose splitting fields are inseparable extensions. When the field is not of characteristic 2, a known theorem is generalized by considering k, the number of elementary divisors of odd degree of the n × n A: If -1 is a sum of 2v squares and n differs from a multiple of 2v + 1 by at most ±k, then A is similar to a symmetric matrix. |
| Publisher: |
Taylor & Francis |
| Source file: |
Elektronische Wetenschappelijke Tijdschriften |
Details for article 19 of 24 found articles
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