Shahla Ahdout
e-mail: sahdout@liu.edu
Sheldon Rothman
e-mail: srothman@liu.edu
Mathematics Department Long Island University NY 11548 Brookville, USA
Keywords and phrases. Pseudo-unitary, pseudo-euclidean, self-adjoint, orthogonal.
2000 Mathematics Subject Classification. Primary: 15A21. Secondary: 15A57.
RESUMEN. Nosotros damos una aproximación auto-contenida y constructiva para reducir una transformación lineal auto-adjunta definida sobre un espacio pseudo-unitario (resp. pseudo-euclidiano) a una forma canónica.
TEXTO COMPLETO EN PDF
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REFERENCES[1] J. Bognar, Indefinite Inner Products, Springer-Verlag, New York-Heidelberg, 1974. [ Links ]
[2] D.Z. Djokovic, J. Patera, P. Winternitz & H. Zassenhaus, Normal forms of elements of classical real and complex Lie and Jordan algebras, J. Math. Phys. 4 (6) (1983), 1363-1374. [ Links ]
[3] W. Greub, Linear Algebra, Fourth Ed., Springer-Verlag, New York, 1984. [ Links ]
[4] L. Kronecker, Algebraische Reduction der Schaaren bilinearer Formen, Sitzungsber. Akad. Wiss Berlin (1890), 763-767. [ Links ]
[5] A. I. Mal`Cev, Foundations of Linear Algebra, W.H. Freeman and Company, San Francisco and London, 1963. [ Links ]
[6] V. Mehrmann & H. Xu, Structured Jordan canonical forms for structured ma- trices that are hermitian, skew hermitian or unitary with respect to indefinite inner products, The Electronic Journal of Linear Algebra, 5 (1999), 67-103. [ Links ]
[7] G. E. Shilov, Linear Algebra, Dover Publications, New York, 1977. [ Links ]
[8] F. Uhlig, A Canonical Form for a Pair of Real Symmetric Matrices That Gener- ate a Nonsingular Pencil, Linear Algebra and its Applications 14 (1976), 189-209. [ Links ]
[9] K. Weierstrass, Zur Theorie der bilinearen und quadratischen Formen, Monatsber. Akad. Wiss. Berlin (1868), 310-338. [ Links ]
(Recibido en septiembre de 2005. Aceptado en marzo de 2006)
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