An iterative method for partial derivatives of eigenvectors of quadratic eigenvalue problems

BIT Numerical Mathematics ◽

10.1007/s10543-011-0366-9 ◽

2011 ◽

Vol 52 (2) ◽

pp. 525-536 ◽

Author(s):

Huiqing Xie

Keyword(s):

Iterative Method ◽

Eigenvalue Problems ◽

Partial Derivatives ◽

Quadratic Eigenvalue Problems ◽

Quadratic Eigenvalue ◽

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Calculation of derivatives of multiple eigenpairs of unsymmetrical quadratic eigenvalue problems

International Journal of Computer Mathematics ◽

10.1080/00207160701581525 ◽

2008 ◽

Vol 85 (12) ◽

pp. 1815-1831 ◽

Author(s):

Huiqing Xie ◽

Hua Dai

Keyword(s):

Eigenvalue Problems ◽

Quadratic Eigenvalue Problems ◽

Quadratic Eigenvalue ◽

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Computing Derivatives of Repeated Eigenvalues and Corresponding Eigenvectors of Quadratic Eigenvalue Problems

SIAM Journal on Matrix Analysis and Applications ◽

10.1137/120879841 ◽

2013 ◽

Vol 34 (3) ◽

pp. 1089-1111 ◽

Author(s):

Jiang Qian ◽

Alan L. Andrew ◽

Delin Chu ◽

Roger C. E. Tan

Keyword(s):

Eigenvalue Problems ◽

Repeated Eigenvalues ◽

Quadratic Eigenvalue Problems ◽

Quadratic Eigenvalue ◽

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An eigenspace method for computing derivatives of semi-simple eigenvalues and corresponding eigenvectors of quadratic eigenvalue problems

Applied Numerical Mathematics ◽

10.1016/j.apnum.2015.03.011 ◽

2015 ◽

Vol 94 ◽

pp. 201-208 ◽

Author(s):

Xin Lu ◽

Shu-fang Xu

Keyword(s):

Eigenvalue Problems ◽

Quadratic Eigenvalue Problems ◽

Quadratic Eigenvalue ◽

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Sensitivity Analysis and Its Numerical Methods for Derivatives of Quadratic Eigenvalue Problems

Mathematics for Industry - Applications + Practical Conceptualization + Mathematics = fruitful Innovation ◽

10.1007/978-4-431-55342-7_20 ◽

2015 ◽

pp. 235-245

Author(s):

Delin Chu ◽

Jiang Qian ◽

Roger C. E. Tan

Keyword(s):

Sensitivity Analysis ◽

Numerical Methods ◽

Eigenvalue Problems ◽

Quadratic Eigenvalue Problems ◽

Quadratic Eigenvalue ◽

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Real quadratic eigenvalue problems in structural dynamics

10.2514/6.1988-2357 ◽

1988 ◽

Author(s):

B. WANG ◽

C. BLACKWELL ◽

K. YEUNG

Keyword(s):

Structural Dynamics ◽

Eigenvalue Problems ◽

Quadratic Eigenvalue Problems ◽

Quadratic Eigenvalue ◽

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Multi-level homotopy perturbation and projection techniques for the reanalysis of quadratic eigenvalue problems: The application of stability analysis

Mechanical Systems and Signal Processing ◽

10.1016/j.ymssp.2014.07.013 ◽

2015 ◽

Vol 52-53 ◽

pp. 88-104 ◽

Author(s):

F. Massa ◽

B. Lallemand ◽

T. Tison

Keyword(s):

Stability Analysis ◽

Eigenvalue Problems ◽

Homotopy Perturbation ◽

Projection Techniques ◽

Quadratic Eigenvalue Problems ◽

Multi Level ◽

Quadratic Eigenvalue

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Efficient and reliable hp-FEM estimates for quadratic eigenvalue problems and photonic crystal applications

Computers & Mathematics with Applications ◽

10.1016/j.camwa.2016.06.001 ◽

2016 ◽

Vol 72 (4) ◽

pp. 952-973 ◽

Author(s):

Christian Engström ◽

Stefano Giani ◽

Luka Grubišić

Keyword(s):

Photonic Crystal ◽

Eigenvalue Problems ◽

Quadratic Eigenvalue Problems ◽

Quadratic Eigenvalue

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On symmetrization and roots of quadratic eigenvalue problems

Journal of Functional Analysis ◽

10.1016/0022-1236(72)90018-3 ◽

1972 ◽

Vol 9 (4) ◽

pp. 410-422 ◽

Author(s):

J Eisenfeld

Keyword(s):

Eigenvalue Problems ◽

Quadratic Eigenvalue Problems ◽

Quadratic Eigenvalue

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A structure-preserving doubling algorithm for quadratic eigenvalue problems arising from time-delay systems

Journal of Computational and Applied Mathematics ◽

10.1016/j.cam.2009.09.010 ◽

2010 ◽

Vol 233 (8) ◽

pp. 1733-1745 ◽

Author(s):

Tie-xiang Li ◽

Eric King-wah Chu ◽

Wen-Wei Lin

Keyword(s):

Eigenvalue Problems ◽

Delay Systems ◽

Time Delay Systems ◽

Structure Preserving ◽

Quadratic Eigenvalue Problems ◽

Quadratic Eigenvalue

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A Parallel Refined Jacobi-Davidson Method for Quadratic Eigenvalue Problems

2010 3rd International Symposium on Parallel Architectures, Algorithms and Programming ◽

10.1109/paap.2010.62 ◽

2010 ◽

Author(s):

Shunxu Wang

Keyword(s):

Eigenvalue Problems ◽

Davidson Method ◽

Quadratic Eigenvalue Problems ◽

Quadratic Eigenvalue

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