Backward error analysis for linearizations in heavily damped quadratic eigenvalue problem

Hongjia Chen; Jie Meng; Tetsuya Sakurai; Xiang Wang

doi:10.1002/nla.2253

Backward error analysis for linearizations in heavily damped quadratic eigenvalue problem

Numerical Linear Algebra with Applications ◽

10.1002/nla.2253 ◽

2019 ◽

Vol 26 (4) ◽

Cited By ~ 1

Author(s):

Hongjia Chen ◽

Jie Meng ◽

Tetsuya Sakurai ◽

Xiang Wang

Keyword(s):

Eigenvalue Problem ◽

Error Analysis ◽

Backward Error Analysis ◽

Quadratic Eigenvalue Problem ◽

Backward Error ◽

Quadratic Eigenvalue

Backward error analysis of linearizing–balancing strategies for heavily damped quadratic eigenvalue problem

Applied Mathematics Letters ◽

10.1016/j.aml.2021.107342 ◽

2021 ◽

Vol 120 ◽

pp. 107342

Author(s):

Hongjia Chen ◽

Lei Du ◽

Zongqi Cao

Keyword(s):

Eigenvalue Problem ◽

Error Analysis ◽

Backward Error Analysis ◽

Quadratic Eigenvalue Problem ◽

Backward Error ◽

Quadratic Eigenvalue

Structured backward error analysis for a class of block three-by-three saddle point problems

Numerical Algorithms ◽

10.1007/s11075-021-01179-6 ◽

2021 ◽

Author(s):

Peng Lv ◽

Bing Zheng

Keyword(s):

Error Analysis ◽

Saddle Point ◽

Backward Error Analysis ◽

Saddle Point Problems ◽

Backward Error

Automated backward error analysis for numerical code

Proceedings of the 2015 ACM SIGPLAN International Conference on Object-Oriented Programming, Systems, Languages, and Applications - OOPSLA 2015 ◽

10.1145/2814270.2814317 ◽

2015 ◽

Cited By ~ 7

Author(s):

Zhoulai Fu ◽

Zhaojun Bai ◽

Zhendong Su

Keyword(s):

Error Analysis ◽

Numerical Code ◽

Backward Error Analysis ◽

Backward Error

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

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

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

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

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

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

Backward error analysis for multistep methods

Numerische Mathematik ◽

10.1007/s002110050469 ◽

1999 ◽

Vol 84 (2) ◽

pp. 199-232 ◽

Cited By ~ 15

Author(s):

Ernst Hairer

Keyword(s):

Error Analysis ◽

Multistep Methods ◽

Backward Error Analysis ◽

Backward Error