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1.

図書

図書
Richard S. Varga
出版情報: Berlin : Springer, c2004  x, 226 p. ; 24 cm
シリーズ名: Springer series in computational mathematics ; 36
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目次情報: 続きを見る
Preface / I:
Basic Theory / 1:
Geršgorin's Theorem / 1.1:
Extensions of Geršgorin's Theorem via Graph Theory / 1.2:
Analysis Extensions of Geršgorin's Theorem and Fan's Theorem / 1.3:
A Norm Derivation of Geršgorin's Theorem 1.1 / 1.4:
Geršgorin-Type Eigenvalue Inclusion Theorems / 2:
Brauer's Ovals of Cassini / 2.1:
Higher-Order Lemniscates / 2.2:
Comparison of the Brauer Sets and the Brualdi Sets / 2.3:
The Sharpness of Brualdi Lemniscate Sets / 2.4:
An Example / 2.5:
More Eigenvalue Inclusion Results / 3:
The Parodi-Schneider Eigenvalue Inclusion Sets / 3.1:
The Field of Values of a Matrix / 3.2:
Newer Eigenvalue Inclusion Sets / 3.3:
The Pupkov-Solov'ev Eigenvalue Inclusions Set / 3.4:
Minimal Geršgorin Sets and Their Sharpness / 4:
Minimal Geršgorin Sets / 4.1:
Minimal Geršgorin Sets via Permutations / 4.2:
A Comparison of Minimal Geršgorin Sets and Brualdi Sets / 4.3:
G-Functions / 5:
The Sets <$>{\cal F}_{\bf n}<$> and <$>{\cal G}_{\bf n}<$> / 5.1:
Structural Properties of <$>{\cal G}_{\bf n}<$> and <$>{\cal G}_{\bf n}^{\bf c}<$> / 5.2:
Minimal G-Functions / 5.3:
Minimal G-Functions with Small Domains of Dependence / 5.4:
Connections with Brauer Sets and Generalized Brualdi Sets / 5.5:
Geršgorin-Type Theorems for Partitioned Matrices / 6:
Partitioned Matrices and Block Diagonal Dominance / 6.1:
A Different Norm Approach / 6.2:
A Variation on a Theme by Brualdi / 6.3:
G-Functions in the Partitioned Case / 6.4:
Geršgorin's Paper from 1931, and Comments / Appendix A:
Vector Norms and Induced Operator Norms / Appendix B:
The Perron-Frobenius Theory of Nonnegative Matrices / Appendix C:
Matlab 6 Programs / Appendix D:
References
Preface / I:
Basic Theory / 1:
Geršgorin's Theorem / 1.1:
2.

図書

図書
Victor Ivrii
出版情報: Berlin ; New York : Springer, c1998  xv, 731 p. ; 25 cm
シリーズ名: Springer monographs in mathematics
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3.

図書

図書
Dragoš Cvetković, Peter Rowlinson, Slobodan Simić
出版情報: Cambridge, U.K. : Cambridge University Press, 2004  xi, 298 p. ; 23 cm
シリーズ名: London Mathematical Society lecture note series ; 314
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4.

図書

図書
Sergio Albeverio ... [et al], editors
出版情報: Basel : Birkhäuser, c2003  [vii], 437 p. ; 24 cm
シリーズ名: Operator theory : advances and applications ; v. 145
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5.

図書

図書
Yousef Saad
出版情報: Philadelphia : Society for Industrial and Applied Mathematics(SIAM), c2011  xvi, 276 p. ; 23 cm
シリーズ名: Classics in applied mathematics ; 66
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Preface to the Classics Edition
Preface
Background in matrix theory and linear algebra / 1:
Sparse matrices / 2:
Perturbation theory and error analysis / 3:
The tools of spectral approximation / 4:
Subspace iteration / 5:
Krylov subspace methods / 6:
Filtering and restarting techniques / 7:
Preconditioning techniques / 8:
Non-standard eigenvalue problems / 9:
Origins of matrix eigenvalue problems / 10:
References
Index
Preface to the Classics Edition
Preface
Background in matrix theory and linear algebra / 1:
6.

図書

図書
Victor Ivrii
出版情報: Berlin ; New York : Springer-Verlag, 1984  v, 238 p. ; 25 cm
シリーズ名: Lecture notes in mathematics ; 1100
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7.

図書

図書
Yu. Safarov, D. Vassiliev
出版情報: Providence, R.I. : American Mathematical Society, c1997  xiii, 354 p. ; 26 cm
シリーズ名: Translations of mathematical monographs ; v. 155
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Main results
Oscillatory integrals
Construction of the wave group
Singularities of the wave group
Proof of main results
Mechanical applications
Spectral problem on the half-line / Appendix A:
Fourier Tauberian theorems / Appendix B:
Stationary phase formula / Appendix C:
Hamiltonian billiards: proofs / Appendix D:
Factorization of smooth functions and Taylor-type formulae / Appendix E:
References
Principal notation
Index
Main results
Oscillatory integrals
Construction of the wave group
8.

図書

図書
Albrecht Pietsch
出版情報: Cambridge [Cambridgeshire] ; New York : Cambridge University Press, 1987  360 p. ; 24 cm
シリーズ名: Cambridge studies in advanced mathematics ; 13
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9.

図書

図書
Hermann König
出版情報: Basel ; Boston : Birkhäuser Verlag, 1986  262 p. ; 24 cm
シリーズ名: Operator theory : advances and applications ; v. 16
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10.

図書

図書
Michihiro Kitahara
出版情報: Amsterdam ; Tokyo : Elsevier, 1985  viii, 281 p. ; 25 cm
シリーズ名: Studies in applied mechanics ; 10
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