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1.

図書
図書
1. The statistical theory of linear systems
E.J. Hannan, Manfred Deistler
出版情報: New York : Wiley, c1988  xiii, 380 p. ; 24 cm
シリーズ名: Wiley series in probability and mathematical statistics ; . Probability and mathematical statistics
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目次情報: 続きを見る
Linear Systems and Stationary Processes
Realization and Parameterization of Linear Dynamic Systems
The Kalman Filter
Maximum Likelihood Estimation of Armax Systems
Estimating the Order of a Linear System
Calculation of the Estimates
Approximation by Rational Transfer Functions
References
Index of Notation
Linear Systems and Stationary Processes
Realization and Parameterization of Linear Dynamic Systems
The Kalman Filter
2.

図書
図書
2. Algebraic and geometric methods in linear systems theory
Christopher I. Byrnes and Clyde F. Martins, editors
出版情報: Providence, R. I. : American Mathematical Society, 1980  viii, 327 p. ; 24 cm
シリーズ名: Lectures in applied mathematics ; v. 18
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3.

図書
図書
3. System dynamics and mechanical vibrations : an introduction
Dietmar Findeisen
出版情報: Berlin : Springer, c2000  xxi, 383 p. ; 25 cm
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From the contents: Theory of Dynamic Systems
Classification of Units
Systems Modelling by Diagrams
Systems Modelling by Governing Equations
Model Formulation by Equations of Motion
Concepts of Mobility and Dynamics Compliance
Power System Dynamics
Generalized Theorems and Properties of Two-Port Signal Networks
Special Theorems of Transmission in Mechanical Lumped Networks
Appendix
Complete System Responses
Time and Frequency Responses
From the contents: Theory of Dynamic Systems
Classification of Units
Systems Modelling by Diagrams
4.

図書
図書
4. An introduction to infinite dimensional linear systems theory
Ruth F. Curtain and Hans Zwart
出版情報: New York ; Tokyo : Springer-Verlag, 1995  xviii, 698 p. ; 24 cm
シリーズ名: Texts in applied mathematics ; 21
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5.

図書
図書
5. Iterative solution of large linear systems
David M. Young
出版情報: New York : Academic Press, 1971  xxiv, 570 p. ; 24 cm
シリーズ名: Computer science and applied mathematics
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目次情報: 続きを見る
Preface
Acknowledgments
Notation
List of Fundamental Matrix Properties
List of Iterative Methods
Introduction / 1.：
The Model Problem / 1.1.：
Supplementary Discussion
Exercises
Matrix Preliminaries / 2.：
Review of Matrix Theory / 2.1.：
Hermitian Matrices and Positive Definite Matrices / 2.2.：
Vector Norms and Matrix Norms / 2.3.：
Convergence of Sequences of Vectors and Matrices / 2.4.：
Irreducibility and Weak Diagonal Dominance / 2.5.：
Property A / 2.6.：
L-Matrices and Related Matrices / 2.7.：
Illustrations / 2.8.：
Linear Stationary Iterative Methods / 3.：
Consistency, Reciprocal Consistency, and Complete Consistency / 3.1.：
Basic Linear Stationary Iterative Methods / 3.3.：
Generation of Completely Consistent Methods / 3.4.：
General Convergence Theorems / 3.5.：
Alternative Convergence Conditions / 3.6.：
Rates of Convergence / 3.7.：
The Jordan Condition Number of a 2 X 2 Matrix / 3.8.：
Convergence of the Basic Iterative Methods / 4.：
Irreducible Matrices with Weak Diagonal Dominance / 4.1.：
Positive Definite Matrices / 4.3.：
The SOR Method with Varying Relaxation Factors / 4.4.：
Rates of Convergence of the J and GS Methods for the Model Problem / 4.5.：
Eigenvalues of the SOR Method for Consistently Ordered Matrices / 5.：
Block Tri-Diagonal Matrices / 5.1.：
Consistently Ordered Matrices and Ordering Vectors / 5.3.：
Nonmigratory Permutations / 5.4.：
Consistently Ordered Matrices Arising from Difference Equations / 5.6.：
A Computer Program for Testing for Property A and Consistent Ordering / 5.7.：
Other Developments of the SOR Theory / 5.8.：
Determination of the Optimum Relaxation Factor / 6.：
Virtual Spectral Radius / 6.1.：
Analysis of the Case Where All Eigenvalues of B Are Real / 6.2.：
Rates of Convergence: Comparison with the Gauss-Seidel Method / 6.3.：
Analysis of the Case Where Some Eigenvalues of B Are Complex / 6.4.：
Practical Determination of [Omega subscript b]: General Considerations / 6.5.：
Iterative Methods of Choosing [Omega subscript b] / 6.6.：
An Upper Bound for [mu] / 6.7.：
A Priori Determination of [mu]: Exact Methods / 6.8.：
A Priori Determination of [mu]: Approximate Values / 6.9.：
Numerical Results / 6.10.：
Norms of the SOR Method / 7.：
The Jordan Canonical Form of L[subscript Omega] / 7.1.：
Basic Eigenvalue Relation / 7.2.：
Determination of [double vertical line] L[subscript Omega double vertical line subscript D superscript 1/2] / 7.3.：
Determination of [double vertical line] L[superscript m subscript Omega b double vertical line subscript D superscript 1/2] / 7.4.：
Determination of [double vertical line] L[subscript Omega double vertical line subscript A superscript 1/2] / 7.5.：
Determination of [double vertical line] L[superscript m subscript Omega b double vertical line subscript A superscript 1/2] / 7.6.：
Comparison of [double vertical line] L[superscript m subscript Omega b double vertical line subscript D superscript 1/2] and [double vertical line] L[superscript m subscript Omega b double vertical line subscript A superscript 1/2] / 7.7.：
The Modified SOR Method: Fixed Parameters / 8.：
Eigenvalues of L[subscript Omega, Omega'] / 8.1.：
Convergence and Spectral Radius / 8.3.：
Determination of [double vertical line] L[subscript Omega, Omega' double vertical line subscript D superscript 1/2] / 8.4.：
Determination of [double vertical line] L[subscript Omega, Omega' double vertical line subscript A superscript 1/2] / 8.5.：
Nonstationary Linear Iterative Methods / 9.：
Consistency, Convergence, and Rates of Convergence / 9.1.：
Periodic Nonstationary Methods / 9.2.：
Chebyshev Polynomials / 9.3.：
The Modified SOR Method: Variable Parameters / 10.：
Convergence of the MSOR Method / 10.1.：
Optimum Choice of Relaxation Factors / 10.2.：
Alternative Optimum Parameter Sets / 10.3.：
Norms of the MSOR Method: Sheldon's Method / 10.4.：
The Modified Sheldon Method / 10.5.：
Cyclic Chebyshev Semi-Iterative Method / 10.6.：
Comparison of Norms / 10.7.：
Semi-Iterative Methods / 11.：
General Considerations / 11.1.：
The Case Where G Has Real Eigenvalues / 11.2.：
J, JOR, and RF Semi-Iterative Methods / 11.3.：
Richardson's Method / 11.4.：
GS Semi-Iterative Methods / 11.5.：
SOR Semi-Iterative Methods / 11.7.：
MSOR Semi-Iterative Methods / 11.8.：
Extensions of the SOR Theory: Stieltjes Matrices / 11.9.：
The Need for Some Restrictions on A / 12.1.：
Stieltjes Matrices / 12.2.：
Generalized Consistently Ordered Matrices / 13.：
CO(q, r)-Matrices, Property A[subscript q,r], and Ordering Vectors / 13.1.：
Relation between GCO(q, r)-Matrices and CO(q, r)-Matrices / 13.3.：
Computational Procedures: Canonical Forms / 13.6.：
Relation to Other Work / 13.7.：
Group Iterative Methods / 14.：
Construction of Group Iterative Methods / 14.1.：
Solution of a Linear System with a Tri-Diagonal Matrix / 14.2.：
Convergence Analysis / 14.3.：
Applications / 14.4.：
Comparison of Point and Group Iterative Methods / 14.5.：
Symmetric SOR Method and Related Methods / 15.：
Choice of Relaxation Factor / 15.1.：
SSOR Semi-Iterative Methods: The Discrete Dirichlet Problem / 15.4.：
Group SSOR Methods / 15.5.：
Unsymmetric SOR Method / 15.6.：
Symmetric and Unsymmetric MSOR Methods / 15.7.：
Second-Degree Methods / 16.：
Alternating Direction Implicit Methods / 17.：
Introduction: The Peaceman-Rachford Method / 17.1.：
The Stationary Case: Consistency and Convergence / 17.2.：
The Stationary Case: Choice of Parameters / 17.3.：
The Commutative Case / 17.4.：
Optimum Parameters / 17.5.：
Good Parameters / 17.6.：
The Helmholtz Equation in a Rectangle / 17.7.：
Monotonicity / 17.8.：
Necessary and Sufficient Conditions for the Commutative Case / 17.9.：
The Noncommutative Case / 17.10.：
Selection of Iterative Method / 18.：
Bibliography
Index
Preface
Acknowledgments
Notation
6.

図書
図書
6. Sensitivity analysis in linear systems (: us ; : gw)
Assem Deif
出版情報: Berlin ; Tokyo : Springer-Verlag, c1986  xii, 224 p. ; 25 cm
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7.

図書
図書
7. Linear dynamical systems
John L. Casti
出版情報: Boston ; Tokyo : Academic Press, c1987  xv, 351 p. ; 24 cm
シリーズ名: Mathematics in science and engineering : a series of monographs and textbooks ; v. 135
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8.

図書
図書
8. Signals and linear systems (: pbk)
Robert A. Gabel, Richard A. Roberts
出版情報: New York : Wiley, c1973  xii, 415 p. ; 23 cm
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9.

図書
図書
9. Time-variant systems and interpolation (: sz ; : us)
edited by I. Gohberg
出版情報: Basel ; Boston : Birkhäuser Verlag, 1992  viii, 299 p. ; 24 cm
シリーズ名: Operator theory : advances and applications ; v. 56
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10.

図書
図書
10. The analysis of linear systems
Wayne H. Chen
出版情報: New York : McGraw-Hill, c1963  xiv, 577 p. ; 25 cm
シリーズ名: McGraw-Hill electrical and electronic engineering series
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