Canonical Forms of Structured Matrices and Pencils

Christian Mehl () and Hongguo Xu ()
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Christian Mehl: Technische Universität Berlin, Institut für Mathematik
Hongguo Xu: University of Kansas, Department of Mathematics

Chapter Chapter 6 in Numerical Algebra, Matrix Theory, Differential-Algebraic Equations and Control Theory, 2015, pp 131-159 from Springer

Abstract: Abstract This chapter provides a survey on the development of canonical forms for matrices and matrix pencils with symmetry structures and on their impact in the investigation of application problems. The survey mainly focuses on the results from three topics that have been developed during the past 15 years: structured canonical forms for Hamiltonian and related matrices, structured canonical forms for doubly structured matrices and pencils, and singular value-like decompositions for matrices associated with two sesquilinear forms.

Keywords: Matrix Pencil; Invariant Lagrangian Subspaces; Hermitian Pencil; Hamiltonian Schur Form; Jordan Block (search for similar items in EconPapers)
Date: 2015
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Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-3-319-15260-8_6

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DOI: 10.1007/978-3-319-15260-8_6

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