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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
MathSciNet review:
0318190
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References |
Similar Articles |
Additional Information
- 1.
D.
K. Faddeev, On the characteristic equations of rational symmetirc
matrices, Doklady Akad. Nauk SSSR (N. S.) 58 (1947),
753–754 (Russian). MR 0022860
(9,270e)
- 2.
Olga
Taussky, On matrix classes corresponding to an ideal and its
inverse, Illinois J. Math. 1 (1957), 108–113.
MR
0094326 (20 #845)
- 3.
Olga
Taussky, Ideal matrices. I, Arch. Math. 13
(1962), 275–282. MR 0150165
(27 #168)
- 4.
Olga
Taussky, On the similarity transformation between an integral
matrix with irreducible characteristic polynomial and its transpose,
Math. Ann. 166 (1966), 60–63. MR 0199206
(33 #7355)
- 5.
Olga
Taussky, The role of symmetric matrices in the study of general
matrices, Linear Algebra and Appl. 5 (1972),
147–154. MR 0302674
(46 #1818)
- 6.
Olga
Taussky, The factorization of an integral matrix into a product of
two integral symmetric matrices. I, Acta Arith. 24
(1973), 151–156. Collection of articles dedicated to Carl Ludwig
Siegel on the occasion of his seventy-fifth birthday, II. MR 0335551
(49 #332)
- 7.
Olga
Taussky, The factorization of an integral matrix into a product of
two integral symmetric matrices. I, Acta Arith. 24
(1973), 151–156. Collection of articles dedicated to Carl Ludwig
Siegel on the occasion of his seventy-fifth birthday, II. MR 0335551
(49 #332)
- 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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Additional Information
DOI:
http://dx.doi.org/10.1090/S0002-9904-1973-13276-8
PII:
S 0002-9904(1973)13276-8
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