Normal Forms of Complex Matrices

Zumino, Bruno

doi:10.1063/1.1724294

Normal Forms of Complex Matrices

Bruno Zumino
(
- New York U.
)

1962

3 pages

Published in:

J.Math.Phys. 3 (1962) 5, 1055

Published: Dec 22, 2004
and
Published: 1962 by AIP

DOI:

10.1063/1.1724294

View in:

AMS MathSciNet

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Abstract: (AIP)

Simple normal forms are given for symmetric, skew symmetric, and general complex matrices. These three cases can be combined into a single one, if one considers matrices with elements in a suitable ground field.

Note:

Submitted to J.~Math.~Phys., {\bf 3} (1962) 1055.

References(6)

Figures(0)

[1]

Group Theory and its Application

E.P. Wigner

[2]

Generalized Hartree-Fock Method

J.G. Valatin
(
- Birmingham U. and
- Princeton, Inst. Advanced Study
)

- Phys.Rev. 122 (1961) 1012-1020
•
DOI:
- 10.1103/PhysRev.122.1012

[3]

Revs. Modern Phys. (to be published)

C.N. Yang

[4]

The transposed of a complex matrix M is denoted by M̃, the complex conjugate by M*, the Hermitian adjoint by M† = M̃*

[5]

See, e.g

F.R. Gantmacher

[6]

See, e.g., reference 5, Vol. II, p. 4