Solving a Structured Quadratic Eigenvalue Problem by a Structure-Preserving Doubling Algorithm

Chun-Hua Guo; Wen-Wei Lin

doi:10.1137/090763196

Solving a Structured Quadratic Eigenvalue Problem by a Structure-Preserving Doubling Algorithm

SIAM Journal on Matrix Analysis and Applications ◽

10.1137/090763196 ◽

2010 ◽

Vol 31 (5) ◽

pp. 2784-2801 ◽

Cited By ~ 16

Author(s):

Chun-Hua Guo ◽

Wen-Wei Lin

Keyword(s):

Eigenvalue Problem ◽

Quadratic Eigenvalue Problem ◽

Structure Preserving ◽

Quadratic Eigenvalue

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Numerical Methods for the Tridiagonal Hyperbolic Quadratic Eigenvalue Problem

SIAM Journal on Matrix Analysis and Applications ◽

10.1137/050624856 ◽

2006 ◽

Vol 28 (4) ◽

pp. 1157-1172 ◽

Cited By ~ 3

Author(s):

Bor Plestenjak

Keyword(s):

Numerical Methods ◽

Eigenvalue Problem ◽

Quadratic Eigenvalue Problem ◽

Quadratic Eigenvalue

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Calculation of eigenpair derivatives for symmetric quadratic eigenvalue problem with repeated eigenvalues

Computational and Applied Mathematics ◽

10.1007/s40314-014-0169-0 ◽

2014 ◽

Vol 35 (1) ◽

pp. 17-28 ◽

Cited By ~ 8

Author(s):

Pingxin Wang ◽

Hua Dai

Keyword(s):

Eigenvalue Problem ◽

Quadratic Eigenvalue Problem ◽

Repeated Eigenvalues ◽

Quadratic Eigenvalue

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On the conditioning for heavily damped quadratic eigenvalue problem solved by linearizations

Japan Journal of Industrial and Applied Mathematics ◽

10.1007/s13160-021-00492-w ◽

2021 ◽

Author(s):

Zongqi Cao ◽

Xiang Wang ◽

Hongjia Chen

Keyword(s):

Eigenvalue Problem ◽

Quadratic Eigenvalue Problem ◽

Quadratic Eigenvalue

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Induced Dimension Reduction Method to Solve the Quadratic Eigenvalue Problem

Lecture Notes in Computer Science - Numerical Analysis and Its Applications ◽

10.1007/978-3-319-57099-0_20 ◽

2017 ◽

pp. 203-211

Author(s):

R. Astudillo ◽

M. B. van Gijzen

Keyword(s):

Eigenvalue Problem ◽

Dimension Reduction ◽

Reduction Method ◽

Dimension Reduction Method ◽

Quadratic Eigenvalue Problem ◽

Quadratic Eigenvalue

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A Non-Self-Adjoint Quadratic Eigenvalue Problem Describing a Fluid-Solid Interaction Part I: Formulation, Analysis, and Computations

Communications on Pure & Applied Analysis ◽

10.3934/cpaa.2009.8.123 ◽

2009 ◽

Vol 8 (1) ◽

pp. 123-142 ◽

Cited By ~ 2

Author(s):

Stuart S. Antman ◽

◽

David Bourne ◽

Keyword(s):

Eigenvalue Problem ◽

Quadratic Eigenvalue Problem ◽

Formulation Analysis ◽

Quadratic Eigenvalue ◽

Fluid Solid Interaction

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An accelerated cyclic-reduction-based solvent method for solving quadratic eigenvalue problem of gyroscopic systems

Computers & Mathematics with Applications ◽

10.1016/j.camwa.2018.12.040 ◽

2019 ◽

Vol 77 (10) ◽

pp. 2585-2595

Author(s):

Cairong Chen ◽

Changfeng Ma

Keyword(s):

Eigenvalue Problem ◽

Quadratic Eigenvalue Problem ◽

Solvent Method ◽

Cyclic Reduction ◽

Quadratic Eigenvalue ◽

Gyroscopic Systems

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On a class of inverse quadratic eigenvalue problem

Journal of Computational and Applied Mathematics ◽

10.1016/j.cam.2010.11.017 ◽

2011 ◽

Vol 235 (8) ◽

pp. 2662-2669 ◽

Cited By ~ 11

Author(s):

Yongxin Yuan ◽

Hua Dai

Keyword(s):

Eigenvalue Problem ◽

Quadratic Eigenvalue Problem ◽

Quadratic Eigenvalue

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Two dimensional autoregressive estimation from noisy observations as a quadratic eigenvalue problem

Multidimensional Systems and Signal Processing ◽

10.1007/s11045-014-0289-0 ◽

2014 ◽

Vol 27 (1) ◽

pp. 61-68 ◽

Cited By ~ 3

Author(s):

Alimorad Mahmoudi

Keyword(s):

Eigenvalue Problem ◽

Two Dimensional ◽

Quadratic Eigenvalue Problem ◽

Quadratic Eigenvalue

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Oscillation Theory for a Quadratic Eigenvalue Problem

Quaestiones Mathematicae ◽

10.2989/qm.2008.31.4.3.607 ◽

2008 ◽

Vol 31 (4) ◽

pp. 345-357 ◽

Cited By ~ 7

Author(s):

Patrick J. Browne ◽

Bruce A. Watson

Keyword(s):

Eigenvalue Problem ◽

Oscillation Theory ◽

Quadratic Eigenvalue Problem ◽

Quadratic Eigenvalue

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A Subspace Approximation Method for the Quadratic Eigenvalue Problem

SIAM Journal on Matrix Analysis and Applications ◽

10.1137/s0895479803423378 ◽

2004 ◽

Vol 26 (2) ◽

pp. 498-521 ◽

Cited By ~ 12

Author(s):

U. B. Holz ◽

G. H. Golub ◽

K. H. Law

Keyword(s):

Eigenvalue Problem ◽

Approximation Method ◽

Quadratic Eigenvalue Problem ◽

Subspace Approximation ◽

Quadratic Eigenvalue

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