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Applicable Analysis
An International Journal
Volume 20, 1985 - Issue 1-2
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Original Articles

Perturbation of analytic hermitian matrix functions

I. Gohberg School of Mathematical Sciences, Tel-Aviv University, Tel-Aviv, Israel
,
P. Lancaster Department of Mathematics and Statistics, University of Calgary, Calgary, CanadaView further author information
&
L. Rodman School of Mathematical Sciences, Tel-Aviv University, Tel-Aviv, IsraelView further author information
Pages 23-48 | Received 01 Mar 1985, Accepted 03 Jan 1985, Published online: 02 May 2007

Citations (18)

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P. Binding & P. J. Browne. (1988) Applications of two parameter spectral theory to symmetric generalised eigenvalue problems. Applicable Analysis 29:1-2, pages 107-142.
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Articles from other publishers (17)

Anne Greenbaum, Ren-Cang Li & Michael L. Overton. (2020) First-Order Perturbation Theory for Eigenvalues and Eigenvectors. SIAM Review 62:2, pages 463-482.
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Peter Lancaster. (2013) Stability of linear gyroscopic systems: A review. Linear Algebra and its Applications 439:3, pages 686-706.
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O. N. Kirillov. (2009) Eigenvalue bifurcation in multiparameter families of non-self-adjoint operator matrices. Zeitschrift für angewandte Mathematik und Physik 61:2, pages 221-234.
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P. Lancaster & U. Prells. (2007) Isospectral families of high‐order systems. ZAMM - Journal of Applied Mathematics and Mechanics / Zeitschrift für Angewandte Mathematik und Mechanik 87:3, pages 219-234.
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Leiba Rodman. (2006) Similarity vs unitary similarity and perturbation analysis of sign characteristics: Complex and real indefinite inner products. Linear Algebra and its Applications 416:2-3, pages 945-1009.
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P. Lancaster, A. S. Markus & F. Zhou. (2003) Perturbation Theory for Analytic Matrix Functions: The Semisimple Case. SIAM Journal on Matrix Analysis and Applications 25:3, pages 606-626.
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I. Gohberg & H. Langer. 2002. Linear Operators and Matrices. Linear Operators and Matrices 9 19 .
R. Hryniv & P. Lancaster. (1999) On the perturbation of analytic matrix functions. Integral Equations and Operator Theory 34:3, pages 325-338.
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Branko Najman. (1998) The Asymptotic Behavior of the Eigenvalues of a Singularly Perturbed Linear Pencil. SIAM Journal on Matrix Analysis and Applications 20:2, pages 420-427.
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L. Rodman. 1996. 117 154 .
H. Langer & B. Najman. (1993) Leading coefficients of the eigenvalues of perturbed analytic matrix functions. Integral Equations and Operator Theory 16:4, pages 600-604.
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Jean-Claude Evard & Juan-Miguel Gracia. (1990) On similarities of class Cp and applications to matrix differential equations. Linear Algebra and its Applications 137-138, pages 363-386.
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A. C. M. Ran & L. Rodman. (1989) Semidefinite perturbations of analytic Hermitian matrix functions. Integral Equations and Operator Theory 12:5, pages 739-745.
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H. Langer & B. Najman. (1989) Remarks on the perturbation of analytic matrix functions II. Integral Equations and Operator Theory 12:3, pages 392-407.
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A.C.M Ran & L Rodman. (1988) A matricial boundary value problem which appears in the transport theory. Journal of Mathematical Analysis and Applications 130:1, pages 200-222.
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I Gohberg, P Lancaster & L Rodman. (1986) Quadratic matrix polynomials with a parameter. Advances in Applied Mathematics 7:3, pages 253-281.
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Branko Najman. (1986) Remarks on the perturbation of analytic matrix functions. Integral Equations and Operator Theory 9:4, pages 592-599.
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