Author(s) :
Christian Mehl
,
Volker Mehrmann
,
Hongguo Xu
The paper is published :
Electron. J. Linear Algebra, 7: 112-151, 2000
MSC 2000
- 15A21 Canonical forms, reductions, classification
-
15A22 Matrix pencils
Abstract :
In this paper, canonical forms under structure-preserving equivalence transformations are presented for matrices and
matrix pencils that have a multiple structure, which is either an H-self-adjoint or H-skew-adjoint structure, where the matrix H is
a complex nonsingular Hermitian or skew-Hermitian matrix. Matrices and pencils of such multiple structures arise, for example, in
quantum chemistry in Hartree-Fock models or random phase approximation.
Keywords :
Indefinite innder product, selfadjoint matrix, skew-adjoint matrix, matrix pencil, canonical form