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A factorization of an integral 2×2 matrix via a rational method (1986)

Taussky, Olga

Springer

Monatshefte für Mathematik 102 (1986), S. 79-83

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ISSN: 1436-5081

Source: Springer Online Journal Archives 1860-2000

Topics: Mathematics

Notes: Abstract While a 2×2 integral matrixA with characteristic polynomialx 2-m,m=2,3 (4), and square free, cannot always be expressed as the product of two integral symmetric matrices, it can be expressed as the product of two rational matrices, simultaneously similar to two integral symmetric matrices. This can be achieved in various ways. The paper deals with numerical examples which depend on the 2-part of the ideal class-group attached tox 2-m (see earlier work by the author, especially Acta Arith. 24, 151–156 (1973)).

Type of Medium: Electronic Resource

URL: http://dx.doi.org/10.1007/BF01565487

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