Matrix Norms and Perturbation Theory for Linear Systems

Texts in Computational Science and Engineering - Exercises in Numerical Linear Algebra and Matrix Factorizations ◽

10.1007/978-3-030-59789-4_8 ◽

2020 ◽

pp. 129-158

Author(s):

Tom Lyche ◽

Georg Muntingh ◽

Øyvind Ryan

Keyword(s):

Perturbation Theory ◽

Linear Systems ◽

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Matrix Norms and Perturbation Theory for Linear Systems

Numerical Linear Algebra and Matrix Factorizations - Texts in Computational Science and Engineering ◽

10.1007/978-3-030-36468-7_8 ◽

2020 ◽

pp. 171-198

Author(s):

Tom Lyche

Keyword(s):

Perturbation Theory ◽

Linear Systems ◽

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7. Perturbation Theory for Linear Systems

Accuracy and Stability of Numerical Algorithms ◽

10.1137/1.9780898718027.ch7 ◽

2002 ◽

pp. 119-137

Keyword(s):

Perturbation Theory ◽

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Differential calculus for the matrix norms |·|1 and |·|∞ with applications to asymptotic bounds for periodic linear systems

International Journal of Computer Mathematics ◽

10.1080/00207160310001620740 ◽

2004 ◽

Vol 81 (1) ◽

pp. 81-101 ◽

Author(s):

L. Kohaupt

Keyword(s):

Linear Systems ◽

Differential Calculus ◽

Asymptotic Bounds ◽

Periodic Linear ◽

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Non-linear systems under delta correlated processes handled by perturbation theory

Probabilistic Engineering Mechanics ◽

10.1016/s0266-8920(98)00001-0 ◽

1998 ◽

Vol 13 (4) ◽

pp. 283-290 ◽

Author(s):

A. Pirrotta

Keyword(s):

Perturbation Theory ◽

Linear Systems ◽

Non Linear Systems

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Perturbation Theory for Degenerate Linear Systems

IMA Journal of Mathematical Control and Information ◽

10.1093/imamci/2.4.261 ◽

1985 ◽

Vol 2 (4) ◽

pp. 261-273 ◽

Author(s):

V. A. NYE

Keyword(s):

Perturbation Theory ◽

Linear Systems ◽

Degenerate Linear

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Singular perturbation theory for piecewise–linear systems with random inputs

Stochastic Analysis and Applications ◽

10.1080/07362998908809182 ◽

1989 ◽

Vol 7 (3) ◽

pp. 273-289

Author(s):

B.S. Heck ◽

A.H. Haddad

Keyword(s):

Perturbation Theory ◽

Singular Perturbation ◽

Linear Systems ◽

Piecewise Linear ◽

Singular Perturbation Theory ◽

Random Inputs ◽

Piecewise Linear Systems

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Optimal trajectory tracking based on perturbation theory of linear systems with feedback error

2015 International Conference on Computer, Communication and Control (IC4) ◽

10.1109/ic4.2015.7375512 ◽

2015 ◽

Author(s):

Vijyant Agarwal ◽

Harish Parthasarathy

Keyword(s):

Perturbation Theory ◽

Linear Systems ◽

Trajectory Tracking ◽

Optimal Trajectory ◽

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Perturbation theory of observable linear systems

Mathematical Notes ◽

10.1134/s0001434615070226 ◽

2015 ◽

Vol 98 (1-2) ◽

pp. 216-221

Author(s):

A. K. Fedorov ◽

A. I. Ovseevich

Keyword(s):

Perturbation Theory ◽

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Application of infinite order perturbation theory in linear systems. II. The frequency spectrum of disordered chains

Journal of Mathematical Physics ◽

10.1063/1.1666776 ◽

1974 ◽

Vol 15 (7) ◽

pp. 947-949 ◽

Author(s):

Shi‐yu Wu

Keyword(s):

Perturbation Theory ◽

Linear Systems ◽

Frequency Spectrum ◽

Infinite Order ◽

Order Perturbation ◽

Order Perturbation Theory

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Applications of infinite order perturbation theory in linear systems. I

Journal of Mathematical Physics ◽

10.1063/1.1666775 ◽

1974 ◽

Vol 15 (7) ◽

pp. 938-946 ◽

Author(s):

S. Y. Wu ◽

C. C. Tung ◽

M. Schwartz

Keyword(s):

Perturbation Theory ◽

Linear Systems ◽

Infinite Order ◽

Order Perturbation ◽

Order Perturbation Theory

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