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Pairs of matrices with property 
Authors:
T. S. Motzkin and Olga Taussky
Journal:
Trans. Amer. Math. Soc. 73 (1952), 108-114
MSC:
Primary 09.0X
MathSciNet review:
0049855
Full-text PDF Free Access
References |
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Additional Information
- [1]
G. Frobenius, Über vertauschbare Matrizen, Preuss. Akad. Wiss. Sitzungsber. (1896) pp. 601-604.
- [2]
N.
H. McCoy, On the characteristic roots of matric
polynomials, Bull. Amer. Math. Soc.
42 (1936), no. 8,
592–600. MR
1563361, http://dx.doi.org/10.1090/S0002-9904-1936-06372-X
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Neal
H. McCoy, On quasi-commutative
matrices, Trans. Amer. Math. Soc.
36 (1934), no. 2,
327–340. MR
1501746, http://dx.doi.org/10.1090/S0002-9947-1934-1501746-8
- [4]
William
E. Roth, On 𝑘-commutative
matrices, Trans. Amer. Math. Soc.
39 (1936), no. 3,
483–495. MR
1501859, http://dx.doi.org/10.1090/S0002-9947-1936-1501859-2
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M.
P. Drazin, J.
W. Dungey, and K.
W. Gruenberg, Some theorems on commutative matrices, J. London
Math. Soc. 26 (1951), 221–228. MR 0041095
(12,793e)
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Helmut
Wielandt, Lineare Scharen von Matrizen mit reellen
Eigenwerten, Math. Z. 53 (1950), 219–225
(German). MR
0039687 (12,581i)
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H.
B. Phillips, Functions of Matrices, Amer. J. Math.
41 (1919), no. 4, 266–278. MR
1506392, http://dx.doi.org/10.2307/2370286
- [1]
- G. Frobenius, Über vertauschbare Matrizen, Preuss. Akad. Wiss. Sitzungsber. (1896) pp. 601-604.
- [2]
- N. H. McCoy, On the characteristic roots of matric polynomials, Bull. Amer. Math. Soc. (1936) pp. 592-600. MR 1563361
- [3]
- N. H. McCoy, On quasi-commutative matrices, Trans. Amer. Math. Soc. vol. 36 (1934) pp. 327-380. MR 1501746
- [4]
- W. E. Roth, On
-commutative matrices, Trans. Amer. Math. Soc. vol. 39 (1936) pp. 483-495. MR 1501859
- [5]
- M. P. Drazin, J. W. Dungey, and K. W. Gruenberg, On commutative matrices, J. London Math. Soc. vol. 26 (1951) pp. 221-228. MR 0041095 (12:793e)
- [6]
- H. Wielandt, Lineare Scharen von Matrizen mit reellen Eigenwerten, Math. Zeit. vol. 53 (1950) pp. 219-225. MR 0039687 (12:581i)
- [7]
- H. B. Phillips, Functions of matrices, Amer. J. Math. vol. 41 (1919) pp. 266-278. MR 1506392
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Additional Information
DOI:
http://dx.doi.org/10.1090/S0002-9947-1952-0049855-8
PII:
S 0002-9947(1952)0049855-8
Article copyright:
© Copyright 1952 American Mathematical Society
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