Block Krylov Subspace Methods for Large Algebraic Riccati Equations

Numerical Algorithms ◽

10.1023/b:numa.0000005349.18793.28 ◽

2003 ◽

Vol 34 (2-4) ◽

pp. 339-353 ◽

Author(s):

K. Jbilou

Keyword(s):

Krylov Subspace ◽

Riccati Equations ◽

Krylov Subspace Methods ◽

Subspace Methods ◽

Algebraic Riccati Equations ◽

Block Krylov Subspace Methods

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Krylov subspace methods for discrete-time algebraic Riccati equations

Applied Numerical Mathematics ◽

10.1016/j.apnum.2019.11.006 ◽

2020 ◽

Vol 152 ◽

pp. 499-510

Author(s):

Liping Zhang ◽

Hung-Yuan Fan ◽

Eric King-Wah Chu

Keyword(s):

Discrete Time ◽

Krylov Subspace ◽

Riccati Equations ◽

Krylov Subspace Methods ◽

Subspace Methods ◽

Algebraic Riccati Equations

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Inheritance properties of Krylov subspace methods for continuous-time algebraic Riccati equations

Journal of Computational and Applied Mathematics ◽

10.1016/j.cam.2019.112685 ◽

2020 ◽

Vol 371 ◽

pp. 112685

Author(s):

Liping Zhang ◽

Hung-Yuan Fan ◽

Eric King-wah Chu

Keyword(s):

Continuous Time ◽

Krylov Subspace ◽

Riccati Equations ◽

Krylov Subspace Methods ◽

Subspace Methods ◽

Algebraic Riccati Equations ◽

Inheritance Properties

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Block Krylov subspace methods for approximating the linear combination of φ-functions arising in exponential integrators

Computers & Mathematics with Applications ◽

10.1016/j.camwa.2016.05.031 ◽

2016 ◽

Vol 72 (4) ◽

pp. 846-855 ◽

Author(s):

Yuhao Cong ◽

Dongping Li

Keyword(s):

Linear Combination ◽

Krylov Subspace ◽

Krylov Subspace Methods ◽

Subspace Methods ◽

Exponential Integrators ◽

Block Krylov Subspace Methods

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Deflated block Krylov subspace methods for large scale eigenvalue problems

Journal of Computational and Applied Mathematics ◽

10.1016/j.cam.2009.11.058 ◽

2010 ◽

Vol 234 (3) ◽

pp. 636-648 ◽

Author(s):

Qiang Niu ◽

Linzhang Lu

Keyword(s):

Large Scale ◽

Krylov Subspace ◽

Eigenvalue Problems ◽

Krylov Subspace Methods ◽

Subspace Methods ◽

Block Krylov Subspace Methods

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Block Krylov subspace methods for large-scale matrix computations in control

Journal of Taibah University for Science ◽

10.1016/j.jtusci.2014.07.006 ◽

2015 ◽

Vol 9 (1) ◽

pp. 116-120

Author(s):

A.H. Refahi Sheikhani ◽

S. Kordrostami

Keyword(s):

Large Scale ◽

Krylov Subspace ◽

Krylov Subspace Methods ◽

Subspace Methods ◽

Matrix Computations ◽

Block Krylov Subspace Methods ◽

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Randomized block Krylov subspace methods for trace and log-determinant estimators

BIT Numerical Mathematics ◽

10.1007/s10543-021-00850-7 ◽

2021 ◽

Author(s):

Hanyu Li ◽

Yuanyang Zhu

Keyword(s):

Krylov Subspace ◽

Krylov Subspace Methods ◽

Subspace Methods ◽

Block Krylov Subspace Methods

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Block Krylov subspace methods for the computation of structural response to turbulent wind

Computer Methods in Applied Mechanics and Engineering ◽

10.1016/j.cma.2011.02.017 ◽

2011 ◽

Vol 200 (23-24) ◽

pp. 2067-2082 ◽

Author(s):

G. Barbella ◽

F. Perotti ◽

V. Simoncini

Keyword(s):

Krylov Subspace ◽

Structural Response ◽

Krylov Subspace Methods ◽

Subspace Methods ◽

Turbulent Wind ◽

Block Krylov Subspace Methods

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Compress‐and‐restart block Krylov subspace methods for Sylvester matrix equations

Numerical Linear Algebra with Applications ◽

10.1002/nla.2339 ◽

2020 ◽

Vol 28 (1) ◽

Author(s):

Daniel Kressner ◽

Kathryn Lund ◽

Stefano Massei ◽

Davide Palitta

Keyword(s):

Krylov Subspace ◽

Krylov Subspace Methods ◽

Matrix Equations ◽

Subspace Methods ◽

Sylvester Matrix ◽

Block Krylov Subspace Methods ◽

Sylvester Matrix Equations

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Preserving geometric properties of the exponential matrix by block Krylov subspace methods

BIT Numerical Mathematics ◽

10.1007/s10543-006-0096-6 ◽

2006 ◽

Vol 46 (4) ◽

pp. 813-830 ◽

Author(s):

L. Lopez ◽

V. Simoncini

Keyword(s):

Krylov Subspace ◽

Krylov Subspace Methods ◽

Subspace Methods ◽

Geometric Properties ◽

Block Krylov Subspace Methods ◽

Exponential Matrix

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A review of block Krylov subspace methods for multisource electromagnetic modelling

Geophysical Journal International ◽

10.1093/gji/ggv216 ◽

2015 ◽

Vol 202 (2) ◽

pp. 1241-1252 ◽

Author(s):

Vladimir Puzyrev ◽

José María Cela

Keyword(s):

Krylov Subspace ◽

Krylov Subspace Methods ◽

Subspace Methods ◽

Electromagnetic Modelling ◽

Block Krylov Subspace Methods

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