The factorization of an integral matrix into a product of two integral symmetric matrices

Author:
Olga Taussky

Journal:
Bull. Amer. Math. Soc. **79** (1973), 956-958

MSC (1970):
Primary 15A36, 12A50, 10C10

DOI:
https://doi.org/10.1090/S0002-9904-1973-13276-8

MathSciNet review:
0318190

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References | Similar Articles | Additional Information

**1.**D. K. Faddeev,*On the characteristic equations of rational symmetric matrices*, Dokl. Akad. Nauk SSSR 58 (1947), 753-754. (Russian) MR 9, 270. MR**22860****2.**O. Taussky,*On matrix classes corresponding to an ideal and its inverse*, Illinois J. Math. 1 (1957), 108-113. MR 20 #845. MR**94326****3.**O. Taussky,*Ideal matrices*. I, Arch. Math. 13 (1962), 275-282. MR 27 #168. MR**150165****4.**O. Taussky,*On the similarity transformation between an integral matrix with irreducible characteristic polynomial and its transpose*, Math. Ann. 166 (1966), 60-63. MR 33 #7355. MR**199206****5.**O. Taussky,*Symmetric matrices and their role in the study of general matrices*, Linear Algebra and Appl. 5 (1972), 147-159. MR**302674****6.**O. Taussky,*The factorization of an integral matrix into a product of two integral symmetric matrices*. I, Acta Arith. (to appear). MR**335551****7.**O. Taussky,*The factorization of an integral matrix into a product of two integral symmetric matrices*. II, Comm. Pure Appl. Math. (to appear). MR**335551**

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DOI:
https://doi.org/10.1090/S0002-9904-1973-13276-8