Positive real matrices in indefinite inner product spaces and invariant maximal semidefinite subspaces

J.H. Fourie; G.J. Groenewald; A.C.M. Ran

doi:10.1016/j.laa.2007.02.002

Positive real matrices in indefinite inner product spaces and invariant maximal semidefinite subspaces

J.H. Fourie
, G.J. Groenewald
, A.C.M. Ran

Mathematics

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

Abstract

In this paper positive real matrices in indefinite inner product spaces are studied. This class of matrices is intimately connected to dissipative matrices in the complex case. First the complex case and then the real case are treated. An explicit construction is given for invariant semidefinite subspaces. © 2007 Elsevier Inc. All rights reserved.

Original language	English
Pages (from-to)	346-370
Journal	Linear Algebra and its Applications
Volume	424
Issue number	2-3
DOIs	https://doi.org/10.1016/j.laa.2007.02.002
Publication status	Published - 2007

Bibliographical note

MR2329478

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10.1016/j.laa.2007.02.002

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abstract = "In this paper positive real matrices in indefinite inner product spaces are studied. This class of matrices is intimately connected to dissipative matrices in the complex case. First the complex case and then the real case are treated. An explicit construction is given for invariant semidefinite subspaces. {\textcopyright} 2007 Elsevier Inc. All rights reserved.",

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AU - Ran, A.C.M.

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N2 - In this paper positive real matrices in indefinite inner product spaces are studied. This class of matrices is intimately connected to dissipative matrices in the complex case. First the complex case and then the real case are treated. An explicit construction is given for invariant semidefinite subspaces. © 2007 Elsevier Inc. All rights reserved.

AB - In this paper positive real matrices in indefinite inner product spaces are studied. This class of matrices is intimately connected to dissipative matrices in the complex case. First the complex case and then the real case are treated. An explicit construction is given for invariant semidefinite subspaces. © 2007 Elsevier Inc. All rights reserved.

U2 - 10.1016/j.laa.2007.02.002

DO - 10.1016/j.laa.2007.02.002

M3 - Article

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SP - 346

EP - 370

JO - Linear Algebra and its Applications

JF - Linear Algebra and its Applications

IS - 2-3

ER -

Positive real matrices in indefinite inner product spaces and invariant maximal semidefinite subspaces

Abstract

Bibliographical note

UN SDGs

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