Methods of intermediate problems for eigenvalues : theory and ramifications

>> Google Books

所蔵情報QRコード

Methods of intermediate problems for eigenvalues : theory and ramifications / Alexander Weinstein and William Stenger

資料種別:

図書

出版情報:

New York : Academic Press, 1972

形態:

xi, 236 p. ; 24 cm

シリーズ名:

Mathematics in science and engineering : a series of monographs and textbooks ; v. 89 <BA00009880>

著者名:

ISBN:

9780127424507 [0127424504]

書誌ID:

BA04809663

子書誌情報

フルテキスト

所蔵情報

他の版・巻

書誌詳細

注記:

Bibliography: p. 221-231
Includes indexes

主題:

Calculus of variations; Eigenvalues

言語:

英語

目次情報:

Preface

Overview / 1：

Methods of Operator Approximation in System Modelling / I：

Nonlinear Operator Approximation with Preassigned Accuracy / 2：

Introduction / 2.1：

Generic formulation of the problem / 2.2：

Operator approximation in space C([0; 1]) / 2.3：

Operator approximation in Banach spaces by polynomial operators / 2.4：

Approximation on compact sets in topological vector spaces / 2.5：

Approximation on noncompact sets in Hilbert spaces / 2.6：

Special results for maps into Banach spaces / 2.7：

Concluding remarks / 2.8：

Interpolation of Nonlinear Operators 65 / 3：

Lagrange interpolation in Banach spaces / 3.1：

Weak interpolation of nonlinear operators / 3.3：

Some related results / 3.4：

Realistic Operators and their Approximation / 3.5：

Formalization of concepts related to description of real-world objects / 4.1：

Approximation of RÂícontinuous operators / 4.3：

Methods of Best Approximation for Nonlinear Operators / 4.4：

Best Approximation of nonlinear operators in Banach spaces: Deterministic case / 5.1：

Estimation of mean and covariance matrix for random vectors / 5.3：

Best Hadamard-quadratic approximation / 5.4：

Best polynomial approximation / 5.5：

Best causal approximation / 5.6：

Best hybrid approximations / 5.7：

Optimal Estimation of Random Vectors / 5.8：

Computational Methods for Optimal Filtering of Stochastic Signals / 6：

Optimal linear Filtering in Finite dimensional vector spaces / 6.1：

Optimal linear Filtering in Hilbert spaces / 6.3：

Optimal causal linear Filtering with piecewise constant memory / 6.4：

Optimal causal polynomial Filtering with arbitrarily variable memory / 6.5：

Optimal nonlinear Filtering with no memory constraint / 6.6：

Computational Methods for Optimal Compression and Reconstruction of Random Data / 6.7：

Standard Principal Component Analysis and Karhunen-Loeeve transform (PCA{KLT) / 7.1：

Rank-constrained matrix approximations / 7.3：

Generic PCA{KLT / 7.4：

Optimal hybrid transform based on Hadamard-quadratic approximation / 7.5：

Optimal transform formed by a combination of nonlinear operators / 7.6：

Optimal generalized hybrid transform / 7.7：

Bibliography / 7.8：

Index

Preface

Overview / 1：

Methods of Operator Approximation in System Modelling / I：

Nonlinear Operator Approximation with Preassigned Accuracy / 2：

Introduction / 2.1：

Generic formulation of the problem / 2.2：

続きを見る

東工大ブックレビュー

類似資料:

1 図書 Direct variational methods and eigenvalue problems in engineering Leipholz, H. H. E. (Horst H. E.), 1919- Noordhoff International Publishing	7 図書 Multiparameter eigenvalue problems and expansion theorems (: gw ; : us) Volkmer, Hans, 1953- Springer-Verlag
2 図書 Perturbation theory of eigenvalue problems Rellich, Franz, Berkowitz, B. J. Gordon and Breach	8 図書 Extremum problems for eigenvalues of elliptic operators Henrot, Antoine Birkhäuser Verlag
3 図書 Numerical methods for large eigenvalue problems (: pbk) Saad, Y Society for Industrial and Applied Mathematics(SIAM)	9 図書 Variational methods applied to problems of diffusion and reaction (: U.S. ; : Germany) Strieder, William C., 1938-, Aris, Rutherford Springer
4 図書 Boundary integral equation methods in eigenvalue problems of elastodynamics and thin plates 北原, 道弘 Elsevier	10 図書 Two-parameter eigenvalue problems in ordinary differential equations (: uk ; : us) Faierman, M. Longman Scientific & Technical, Wiley
5 図書 The symmetric eigenvalue problem Parlett, Beresford N. Prentice-Hall	11 図書 Variational method and method of monotone operators in the theory of nonlinear equations Vaĭnberg, M. M. (Mordukhaĭ Moiseevich), Libin, Alexander, Louvish, D. Wiley
6 図書 Random eigenvalue problems Vom Scheidt, Jürgen, Purkert, Walter North Holland	12 図書 Variational methods for problems from plasticity theory and for generalized Newtonian fluids Fuchs, Martin, Prof. Dr, Seregin, Gregory, 1950- Springer