1.
図書
鍋島一郎著
出版情報:
東京 : 森北出版, 1974.11 viii, 289p ; 22cm
シリーズ名:
数学ライブラリー ; 37
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2.
図書
有馬哲著
出版情報:
東京 : 東京図書, 1974.9 vi, 256p ; 22cm
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3.
図書
内田伏一著
出版情報:
東京 : 紀伊国屋書店, 1974.7 vii, 211p ; 22cm
シリーズ名:
紀伊國屋数学叢書 ; 2
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4.
図書
早川康弌著
出版情報:
東京 : 朝倉書店, 1974.12 4, 221p ; 22cm
シリーズ名:
理工学基礎講座 ; 5
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5.
図書
藤井光昭著
出版情報:
東京 : コロナ社, 1974.12 iv, 222p ; 22cm
シリーズ名:
現代応用数学講座 ; 3
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6.
図書
渡辺隼郎著
7.
図書
石田信著
出版情報:
東京 : 森北出版, 1974.4 vi, 183p ; 22cm
シリーズ名:
数学全書 / 小松勇作編 ; 5
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8.
図書
森正武著
9.
図書
竹内啓著
10.
図書
S. カーリン著 ; 佐藤健一, 佐藤由身子訳
出版情報:
東京 : 産業図書, 1974.8 11, 548p ; 22cm
シリーズ名:
数理解析とその周辺 ; 3
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11.
図書
[by] Charles L. Lawson [and] Richard J. Hanson
目次情報:
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Preface to the Classics Edition
Preface
Introduction / 1:
Analysis of the Least Squares Problem / 2:
Orthogonal Decomposition by Certain Elementary Orthogonal Transformations / 3:
Orthogonal Decomposition by Singular Value Decomposition / 4:
Perturbation Theorems for Singular Values / 5:
Bounds for the Condition Number of a Triangular Matrix / 6:
The Pseudoinverse / 7:
Perturbation Bounds for the Pseudoinverse / 8:
Perturbation Bounds for the Solution of Problem LS / 9:
Numerical Computations Using Elementary Orthogonal Transformations / 10:
Computing the Solution for the Overdetermined or Exactly Determined Full Rank Problem / 11:
Computation of the Covariance Matrix of the Solution Parameters / 12:
Computing the Solution for the Underdetermined Full Rank Problem / 13:
Computing the Solution for Problem LS with Possibly Deficient Pseudorank / 14:
Analysis of Computing Errors for Householder Transformations / 15:
Analysis of Computing Errors for the Problem LS / 16:
Analysis of Computing Errors for the Problem LS Using Mixed Precision Arithmetic / 17:
Computation of the Singular Value Decomposition and the Solution of Problem LS / 18:
Other Methods for Least Squares Problems / 19:
Linear Least Squares with Linear Equality Constraints Using a Basis of the Null Space / 20:
Linear Least Squares with Linear Equality Constraints by Direct Elimination / 21:
Linear Least Squares with Linear Equality Constraints by Weighting / 22:
Linear Least Squares with Linear Inequality Constraints / 23:
Modifying a QR Decomposition to Add or Remove Column Vectors / 24:
Practical Analysis of Least Squares Problems / 25:
Examples of Some Methods of Analyzing a Least Squares Problem / 26:
Modifying a QR Decomposition to Add or Remove Row Vectors with Application to Sequential Processing of Problems Having a Large or Banded Coefficient Matrix / 27:
Basic Linear Algebra Including Projections / Appendix A:
Proof of Global Quadratic Convergence of the QR Algorithm / Appendix B:
Description and Use of FORTRAN Codes for Solving Problem LS / Appendix C:
Developments from 1974 to 1995 / Appendix D:
Bibliography
Index
Preface to the Classics Edition
Preface
Introduction / 1:
12.
図書
editors, Jerzy Łoś and Maria W. Łoś ; contributors, A. Anastasopoulos ... [et al.]
出版情報:
Amsterdam : North-Holland , New York : American Elsevier, 1974 xvii, 483 p. ; 24 cm
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13.
図書
Samuel Eilenberg
14.
図書
Narendra S. Goel, Nira Richter-Dyn
出版情報:
New York : Academic Press, 1974 x, 269 p. ; 24 cm
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15.
図書
Norman Biggs
目次情報:
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Introduction to algebraic graph theory / 1:
Linear Algebra in Graphic Thoery / Part I:
The spectrum of a graph / 2:
Regular graphs and line graphs / 3:
Cycles and cuts / 4:
Spanning trees and associated structures / 5:
The tree-number / 6:
Determinant expansions / 7:
Vertex-partitions and the spectrum / 8:
Colouring Problems / Part II:
The chromatic polynomial / 9:
Subgraph expansions / 10:
The multiplicative expansion / 11:
The induced subgraph expansion / 12:
The Tutte polynomial / 13:
Chromatic polynomials and spanning trees / 14:
Symmetry and Regularity / Part III:
Automorphisms of graphs / 15:
Vertex-transitive graphs / 16:
Symmetric graphs / 17:
Symmetric graphs of degree three / 18:
The covering graph construction / 19:
Distance-transitive graphs / 20:
Feasibility of intersection arrays / 21:
Imprimitivity / 22:
Minimal regular graphs with given girth / 23:
References
Index
Introduction to algebraic graph theory / 1:
Linear Algebra in Graphic Thoery / Part I:
The spectrum of a graph / 2:
16.
図書
edited by E.F. Harding and D. G. Kendall
17.
図書
Stuart E. Madnick, John J. Donovan
18.
図書
萩原, 雄祐(1897-1979)
19.
図書
[by] Maurice Auslander [and] David A. Buchsbaum
20.
図書
Folke K. G. Odqvist
出版情報:
Oxford [Eng.] : Clarendon Press, 1974 ix, 200 p., [4] leaves of plates ; 24 cm
シリーズ名:
Oxford mathematical monographs
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21.
図書
edited by John W. Pratt
22.
図書
Mischa Cotlar and Roberto Cignoli ; translated by A. Torchinsky and A. González Villalobos
23.
図書
K.S. Fu
目次情報:
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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:
24.
図書
Alan C. Newell, editor
25.
図書
[by] Saul T. Epstein
26.
図書
by Paul Erdős and Joel Spencer
27.
図書
D.H. Fremlin
出版情報:
Cambridge [Eng.] : University Press, 1974 xiv, 266 p ; 24 cm
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目次情報:
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Preface
Prerequisites
Riesz spaces / 1:
Topological Riesz spaces / 2:
Dual spaces / 3:
Riesz spaces on Boolean rings / 4:
Measure Algebra's / 5:
Measure Spaces / 6:
Representation of linear functionals / 7:
Weak compactness / 8:
Appendices
Preface
Prerequisites
Riesz spaces / 1:
28.
図書
F.B. Hildebrand
29.
図書
L.H. Koopmans
30.
図書
J. William Schmidt
31.
図書
by K. Sarkadi and I. Vincze
32.
図書
von P. Alexandroff und H. Hopf
33.
図書
Narsingh Deo
34.
図書
edited by J. Rose
出版情報:
London ; New York : Gordon and Breach, c1974 3 v. ; 24 cm
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35.
図書
edited by J.A. LaVita and J.-P. Marchand
36.
図書
edited by Carl E. Pearson
出版情報:
New York : Van Nostrand Reinhold Co, c1974 xiii, 1265 p. ; 23 cm
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37.
図書
H. ホックシタット著 ; 岡崎誠, 大槻義彦共訳
出版情報:
東京 : 培風館, 1974.6 xi, 297p ; 22cm
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38.
図書
Néstor Distéfano
39.
図書
永田雅宜著
出版情報:
東京 : 紀伊国屋書店, 1974.7 x, 254p ; 22cm
シリーズ名:
紀伊國屋数学叢書 ; 1
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40.
図書
一松信著
41.
図書
J.ヌブ著 ; 鶴見茂, 大石尚弘, 川尻信夫共訳
出版情報:
東京 : 共立出版, 1974 ix, 228, xiip ; 22cm
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42.
図書
В.Г.ボルチャンスキー著 ; 坂本実訳
出版情報:
東京 : 総合図書, 1974.9 340p ; 22cm
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43.
図書
シュヴァルツ著 ; 斎藤正彦訳
出版情報:
東京 : 東京図書, 1974.6-1974.9 2冊 ; 22cm
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44.
図書
野水克己著 ; 矢野健太郎訳
45.
図書
岩田, 至康(1909-)
出版情報:
東京 : 槙書店, 1974.12 5, 8, 603p, 図版 [4] p ; 22cm
シリーズ名:
幾何学大辞典 / 岩田至康編 ; 第2巻
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