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1.

図書

図書
Andrew P. Sage, James L. Melsa
出版情報: Malabar, Fla. : Robert E. Krieger, 1979  xi, 529 p.; 24 cm
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2.

図書

図書
edited by Demetrios G. Lainiotis
出版情報: New York : American Elsevier, c1974  174 p. ; 24 cm
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3.

図書

図書
Alfred Zauberman
出版情報: London ; New York : Oxford University Press for the Royal Institute of International Affairs, 1976  xiv, 464 p. ; 23 cm
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4.

図書

図書
Paul M. Frank
出版情報: New York : Academic Press, 1978  xiv, 386 p. ; 24 cm
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5.

図書

図書
Jacques Louis Lions
出版情報: Montréal : Presses de l'Université de Montréal, 1976  211 p. ; 25 cm
シリーズ名: Collection de la Chaire Aisenstadt
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6.

図書

図書
L.D. Berkovitz
出版情報: New York ; Berlin : Springer-Verlag, 1974  ix, 304 p. ; 26 cm
シリーズ名: Applied mathematical sciences ; v. 12
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7.

図書

図書
Karl J. Åström
出版情報: New York : Academic Press, 1970  xi, 299 p. ; 24 cm
シリーズ名: Mathematics in science and engineering : a series of monographs and textbooks ; v. 70
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目次情報: 続きを見る
Preface
Contents
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
Contents
Overview / 1:
8.

図書

図書
Stephen Barnett
出版情報: Oxford : Clarendon Press, 1975  viii, 264 p. ; 23 cm
シリーズ名: Oxford applied mathematics and computing science series ; 2
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9.

図書

図書
[by] S. Barnett
出版情報: London ; New York : Van Nostrand Reinhold, 1971  xiv, 221 p ; 24 cm
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10.

図書

図書
A. Bensoussan, J.-L. Lions
出版情報: Paris : Dunod, c1978  545 p. ; 25 cm
シリーズ名: Méthodes mathématiques de l'informatique ; 6
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