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Linear and Multilinear Algebra Volume 60, 2012 - Issue 5
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Original Articles

The change in eigenvalue multiplicity associated with perturbation of a diagonal entry

Charles R. Johnson Department of Mathematics, College of William and Mary, P.O. Box 8795, Williamsburg, VA 23187-8795, USA
,
António Leal-Duarte Departamento de Matemática and Centro de Matemática, Universidade de Coimbra, Apartado 3008, EC Universidade, 3001-454 Coimbra, PortugalCorrespondence[email protected]
&
Carlos M. Saiago Departamento de Matemática, Faculdade de Ciências e Tecnologia da Universidade Nova de Lisboa, 2829-516 Quinta da Torre, PortugalView further author information
Pages 525-532 | Received 29 Jan 2009, Accepted 25 May 2011, Published online: 27 Sep 2011

Citations (7)

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Read on this site (1)

Charles R. Johnson, Carlos M. Saiago & Kenji Toyonaga. (2018) Classification of vertices and edges with respect to the geometric multiplicity of an eigenvalue in a matrix, with a given graph, over a field. Linear and Multilinear Algebra 66:11, pages 2168-2182.
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Articles from other publishers (6)

Kenji Toyonaga & Charles R. Johnson. (2021) The effect of perturbation of an off-diagonal entry pair on the geometric multiplicity of an eigenvalue. Linear Algebra and its Applications 615, pages 112-142.
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Kenji Toyonaga. (2019) The location of classified edges due to the change in the geometric multiplicity of an eigenvalue in a tree. Special Matrices 7:1, pages 257-262.
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Kenji Toyonaga. (2018) The Change in Multiplicity of an Eigenvalue of a Real Symmetric Matrix Resulting from the Changes in Edge Values Around a Classified Vertex in a Tree. Acta Mathematica Vietnamica 43:4, pages 641-647.
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Charles R. Johnson, António Leal-Duarte & Paul R. McMichael. (2017) Changes in vertex status and the fundamental decomposition of a tree relative to a multiple (parter) eigenvalue. Discrete Applied Mathematics 233, pages 33-51.
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Kenji Toyonaga & Charles R. Johnson. (2017) The classification of edges and the change in multiplicity of an eigenvalue of a real symmetric matrix resulting from the change in an edge value. Special Matrices 5:1, pages 51-60.
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Kenji Toyonaga, Charles R. Johnson & Richard Uhrig. 2017. Applied and Computational Matrix Analysis. Applied and Computational Matrix Analysis 117 126 .

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