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Damped Oscillations of Linear Systems

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Cover of 'Damped Oscillations of Linear Systems'

Table of Contents

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    Book Overview
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    Chapter 1 The Model
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    Chapter 2 Simultaneous Diagonalisation (Modal Damping)
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    Chapter 3 Phase Space
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    Chapter 4 The Singular Mass Case
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    Chapter 5 ‘Indefinite Metric’
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    Chapter 6 Matrices and Indefinite Scalar Products
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    Chapter 7 Oblique Projections
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    Chapter 8 J -Orthogonal Projections
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    Chapter 9 Spectral Properties and Reduction of J -Hermitian Matrices
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    Chapter 10 Definite Spectra
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    Chapter 11 General Hermitian Matrix Pairs
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    Chapter 12 Spectral Decomposition of a General J -Hermitian Matrix
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    Chapter 13 The Matrix Exponential
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    Chapter 14 The Quadratic Eigenvalue Problem
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    Chapter 15 Simple Eigenvalue Inclusions
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    Chapter 16 Spectral Shift
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    Chapter 17 Resonances and Resolvents
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    Chapter 18 Well-Posedness
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    Chapter 19 Modal Approximation
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    Chapter 20 Modal Approximation and Overdampedness
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    Chapter 21 Passive Control
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    Chapter 22 Perturbing Matrix Exponential
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    Chapter 23 Notes and Remarks
Attention for Chapter 6: Matrices and Indefinite Scalar Products
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