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1.

図書

図書
Richard Bellman and George Adomian
出版情報: Dordrecht : D. Reidel, c1985  xvii, 290 p. ; 23 cm
シリーズ名: Mathematics and its applications
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2.

図書

図書
P.R. Garabedian
出版情報: New York, N.Y. : Chelsea Pub. Co., c1986  xii, 672 p. ; 24 cm
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3.

図書

図書
Manfred Kracht, Erwin Kreyszig
出版情報: New York : Wiley, c1988  xiv, 394 p. ; 24 cm
シリーズ名: Canadian Mathematical Society series of monographs and advanced texts
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4.

図書

図書
Ronald B. Guenther and John W. Lee
出版情報: Englewood Cliffs, N.J. : Prentice-Hall, c1988  xii, 544 p. ; 25 cm
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5.

図書

図書
John Gregory
出版情報: New York : Academic Press, 1980  xii, 237 p. ; 24 cm
シリーズ名: Mathematics in science and engineering : a series of monographs and textbooks ; v. 152
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目次情報: 続きを見る
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:
6.

図書

図書
J.F. Pommaret
出版情報: New York : Gordon and Breach Science Publishers, c1983  viii, 759 p. ; 24 cm
シリーズ名: Mathematics and its applications ; v. 15
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7.

図書

図書
Masaaki Yoshida
出版情報: Braunschweig : Vieweg, c1987  xiv, 214 p. ; 23 cm
シリーズ名: Aspects of mathematics = Aspekte der Mathematik ; v. E11
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8.

図書

図書
by B.L. Roždestvenskiĭ and N.N. Janenko ; [translated from the Russian by J.R. Schulenberger]
出版情報: Providence, R.I. : American Mathematical Society, c1983  xx, 676 p. ; 24 cm
シリーズ名: Translations of mathematical monographs ; v. 55
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9.

図書

図書
A. Pazy
出版情報: New York : Springer-Verlag, c1983  viii, 279 p. ; 25 cm
シリーズ名: Applied mathematical sciences ; v. 44
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10.

図書

図書
Jacques Chazarain and Alain Piriou
出版情報: Amsterdam ; New York : North-Holland Pub. Co. , New York : Sole distributors for the U.S.A. and Canada, Elsevier Science Pub. Co., 1982  xiv, 559 p. ; 24 cm
シリーズ名: Studies in mathematics and its applications ; 14
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