Canonical forms for doubly structured matrices and pencils

نویسندگان

  • Christian Mehl
  • Volker Mehrmann
  • Hongguo Xu
چکیده

In this paper we derive canonical forms under structure preserving equivalence transformations for matrices and matrix pencils that have a multiple structure, which is either an H-selfadjoint 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.

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تاریخ انتشار 2008