Basic classes of matrices with respect to quaternionic indefinite inner product spaces

D. Alpay; A.C.M. Ran; L. Rodman

doi:10.1016/j.laa.2005.11.010

Basic classes of matrices with respect to quaternionic indefinite inner product spaces

D. Alpay, A.C.M. Ran, L. Rodman

Mathematics

Research output: Contribution to Journal › Article › Academic › peer-review

Abstract

Basic classes of matrices or linear transformations in finite dimensional quaternionic vector spaces with a regular indefinite inner product are introduced and studied. The classes include plus matrices, selfadjoint, skew-adjoint, and unitary matrices. In particular, results are proved concerning extensions of invariant semidefinite subspaces. Canonical form for unitary matrices is developed and subsequently applied to stability of periodic Hamiltonian systems. © 2005 Elsevier Inc. All rights reserved.

Original language	English
Pages (from-to)	242-269
Journal	Linear Algebra and its Applications
Volume	416
Issue number	2-3
DOIs	https://doi.org/10.1016/j.laa.2005.11.010
Publication status	Published - 2006

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MR2242728

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10.1016/j.laa.2005.11.010

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title = "Basic classes of matrices with respect to quaternionic indefinite inner product spaces",

abstract = "Basic classes of matrices or linear transformations in finite dimensional quaternionic vector spaces with a regular indefinite inner product are introduced and studied. The classes include plus matrices, selfadjoint, skew-adjoint, and unitary matrices. In particular, results are proved concerning extensions of invariant semidefinite subspaces. Canonical form for unitary matrices is developed and subsequently applied to stability of periodic Hamiltonian systems. {\textcopyright} 2005 Elsevier Inc. All rights reserved.",

author = "D. Alpay and A.C.M. Ran and L. Rodman",

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T1 - Basic classes of matrices with respect to quaternionic indefinite inner product spaces

AU - Alpay, D.

AU - Ran, A.C.M.

AU - Rodman, L.

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PY - 2006

Y1 - 2006

N2 - Basic classes of matrices or linear transformations in finite dimensional quaternionic vector spaces with a regular indefinite inner product are introduced and studied. The classes include plus matrices, selfadjoint, skew-adjoint, and unitary matrices. In particular, results are proved concerning extensions of invariant semidefinite subspaces. Canonical form for unitary matrices is developed and subsequently applied to stability of periodic Hamiltonian systems. © 2005 Elsevier Inc. All rights reserved.

AB - Basic classes of matrices or linear transformations in finite dimensional quaternionic vector spaces with a regular indefinite inner product are introduced and studied. The classes include plus matrices, selfadjoint, skew-adjoint, and unitary matrices. In particular, results are proved concerning extensions of invariant semidefinite subspaces. Canonical form for unitary matrices is developed and subsequently applied to stability of periodic Hamiltonian systems. © 2005 Elsevier Inc. All rights reserved.

U2 - 10.1016/j.laa.2005.11.010

DO - 10.1016/j.laa.2005.11.010

M3 - Article

SN - 0024-3795

VL - 416

SP - 242

EP - 269

JO - Linear Algebra and its Applications

JF - Linear Algebra and its Applications

IS - 2-3

ER -

Basic classes of matrices with respect to quaternionic indefinite inner product spaces

Abstract

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