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Topics in quaternion linear algebra

Rodman, Leiba

1, 2014

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Indefinite Linear Algebra and Applications

1, 2005

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Canonical Forms for Hermitian Matrix Pairs under Strict Equivalence and Congruence

SIAM review, 2005-09, Vol.47 (3), p.407-443

2005

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Lipschitz properties of structure preserving matrix perturbations

Linear algebra and its applications, 2012-10, Vol.437 (7), p.1503-1537

Rodman, Leiba

2012

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Isotropic subspaces for pairs of Hermitian matrices

Electronic Journal of Linear Algebra, 2008, Vol.17 (1)

Rodman, Leiba X

2008

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Hamiltonian square roots of skew Hamiltonian quaternionic matrices

Electronic Journal of Linear Algebra, 2008, Vol.17 (1)

Rodman, Leiba X

2008

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Remarks on Lipschitz properties of matrix groups actions

Linear algebra and its applications, 2011-03, Vol.434 (6), p.1513-1524

Rodman, Leiba

2011

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Comparison of congruences and strict equivalences for real, complex, and quaternionic matrix pencils with symmetries

Electronic Journal of Linear Algebra, 2007, Vol.16 (1)

Rodman, Leiba X

2007

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Hermitian octonion matrices and numerical ranges

Electronic Journal of Linear Algebra, 2014, Vol.27 (1)

Rodman, Leiba

2014

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Invariant neutral subspaces for Hamiltonian matrices

Electronic Journal of Linear Algebra, 2014, Vol.27 (1)

Rodman, Leiba

2014

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Stability of Invariant Subspaces of Quaternion Matrices

Complex analysis and operator theory, 2012-10, Vol.6 (5), p.1069-1119

Rodman, Leiba

2012

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Bounded and stably bounded palindromic difference equations of first order

Electronic Journal of Linear Algebra, 2014-11, Vol.27 (1)

Rodman, Leiba

2014

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Invariant neutral subspaces for Hamiltonian matrices

Electronic Journal of Linear Algebra, 2014-11, Vol.27 (1)

Rodman, Leiba

2014

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Hermitian octonion matrices and numerical ranges

Electronic Journal of Linear Algebra, 2014-11, Vol.27 (1)

Rodman, Leiba

2014

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Pairs of hermitian and skew-hermitian quaternionic matrices: Canonical forms and their applications

Linear algebra and its applications, 2008-09, Vol.429 (5-6), p.981-1019

Rodman, Leiba

2008

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Similarity vs unitary similarity and perturbation analysis of sign characteristics: Complex and real indefinite inner products

Linear algebra and its applications, 2006-07, Vol.416 (2), p.945-1009

Rodman, Leiba

2006

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Review of: J-contractive Matrix Valued Functions and Related Topics, by Damir Z. Arov and Harry Dym. Cambridge University Press (2008), xi+575 pages, ISBN:978-0-521-88300-9, hardback

Linear algebra and its applications, 2009-10, Vol.431 (9), p.1702-1705

Rodman, Leiba

2009

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Canonical forms for mixed symmetric–skewsymmetric quaternion matrix pencils

Linear algebra and its applications, 2007-07, Vol.424 (1), p.184-221

Rodman, Leiba

2007

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Ranges of Sylvester maps and a minimal rank problem

Electronic Journal of Linear Algebra, 2010, Vol.20 (1)

2010

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Factorization of Matrices with Symmetries over Function Algebras

Integral equations and operator theory, 2014-12, Vol.80 (4), p.469-510

2014

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Eigenvalue perturbation theory of classes of structured matrices under generic structured rank one perturbations

Linear algebra and its applications, 2011-08, Vol.435 (3), p.687-716

2011

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Introduction to Operator Polynomials

1, 1989

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ANALYTIC SOLUTIONS OF MATRIX RICCATI EQUATIONS WITH ANALYTIC COEFFICIENTS

SIAM journal on matrix analysis and applications, 2010-01, Vol.31 (4), p.2075-2092

2010

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Spectral radius preservers of products of monnegative matrices

Banach journal of mathematical analysis, 2008, Vol.2 (2), p.107-120

2008

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Neutral subspaces of pairs of symmetric/skewsymmetric real matrices

Electronic Journal of Linear Algebra, 2014-11, Vol.27 (1)

2014

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Topics in quaternion linear algebra

Indefinite Linear Algebra and Applications

Canonical Forms for Hermitian Matrix Pairs under Strict Equivalence and Congruence

Lipschitz properties of structure preserving matrix perturbations

Isotropic subspaces for pairs of Hermitian matrices

Hamiltonian square roots of skew Hamiltonian quaternionic matrices

Remarks on Lipschitz properties of matrix groups actions

Comparison of congruences and strict equivalences for real, complex, and quaternionic matrix pencils with symmetries

Hermitian octonion matrices and numerical ranges

Invariant neutral subspaces for Hamiltonian matrices

Stability of Invariant Subspaces of Quaternion Matrices

Bounded and stably bounded palindromic difference equations of first order

Invariant neutral subspaces for Hamiltonian matrices

Hermitian octonion matrices and numerical ranges

Pairs of hermitian and skew-hermitian quaternionic matrices: Canonical forms and their applications

Similarity vs unitary similarity and perturbation analysis of sign characteristics: Complex and real indefinite inner products

Review of: J-contractive Matrix Valued Functions and Related Topics, by Damir Z. Arov and Harry Dym. Cambridge University Press (2008), xi+575 pages, ISBN:978-0-521-88300-9, hardback

Canonical forms for mixed symmetric–skewsymmetric quaternion matrix pencils

Ranges of Sylvester maps and a minimal rank problem

Factorization of Matrices with Symmetries over Function Algebras

Eigenvalue perturbation theory of classes of structured matrices under generic structured rank one perturbations

Introduction to Operator Polynomials

ANALYTIC SOLUTIONS OF MATRIX RICCATI EQUATIONS WITH ANALYTIC COEFFICIENTS

Spectral radius preservers of products of monnegative matrices

Neutral subspaces of pairs of symmetric/skewsymmetric real matrices

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