Bulletin of the Japan Society for Industrial and Applied Mathematics

Online ISSN : 2432-1982

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Volume 1, Issue 3

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[title in Japanese]

Article type: Cover
1991 Volume 1 Issue 3 Pages Cover1-
Published: September 13, 1991
Released on J-STAGE: April 08, 2017

DOIhttps://doi.org/10.11540/bjsiam.1.3_Cover1

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[title in Japanese]

Article type: Index
1991 Volume 1 Issue 3 Pages Toc1-
Published: September 13, 1991
Released on J-STAGE: April 08, 2017

DOIhttps://doi.org/10.11540/bjsiam.1.3_Toc1

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[title in Japanese]

Article type: Index
1991 Volume 1 Issue 3 Pages Toc2-
Published: September 13, 1991
Released on J-STAGE: April 08, 2017

DOIhttps://doi.org/10.11540/bjsiam.1.3_Toc2

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[title in Japanese]

[in Japanese]

Article type: Article
1991 Volume 1 Issue 3 Pages 201-
Published: September 13, 1991
Released on J-STAGE: April 08, 2017

DOIhttps://doi.org/10.11540/bjsiam.1.3_201

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Wavelets and their applications

Masaya Yamaguti, Akira Morimoto

Article type: Article
1991 Volume 1 Issue 3 Pages 202-213
Published: September 13, 1991
Released on J-STAGE: April 08, 2017

DOIhttps://doi.org/10.11540/bjsiam.1.3_202

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This is a handy survey on Wavelet Analyois starting from classical Haar expansion, we explain how we constract an analysing wavelet(by Yve Meyer). Then we introduce Daubechies's wavelet with compact support. As an application of the latter, we explain the method of numerical analysis using wavelets.

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The equation slover EQUATRAN An application of bipartite graph

Goro Oguchi

Article type: Article
1991 Volume 1 Issue 3 Pages 214-229
Published: September 13, 1991
Released on J-STAGE: April 08, 2017

DOIhttps://doi.org/10.11540/bjsiam.1.3_214

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The procedure of manipulating simultaneous equations in EQUATRAN is presented. EQUATRAN is a computer program for getting the numerical solution of mathematical models including nonlinear equations, ordinary differential equations and other modeling elements. In this procedure, a bipertite graph, where one set of vertices represents valiables and another set represents mathematical operations, is use to represents the equation system. It is shown that the bipertite graph is useful for checking the structual soluvability of the equation system, making the necessary transformation of equations and generating the optimum steps of the numerical calculation. A simple method generating Newton-Raphson process for solving simultaneous nonlinear equations based on automatic analitical differentiation is also proposed.

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Hierarchical decompositions of discrete systems : Exploiting invariant structures by matroid

Kazuo Murota

Article type: Article
1991 Volume 1 Issue 3 Pages 230-248
Published: September 13, 1991
Released on J-STAGE: April 08, 2017

DOIhttps://doi.org/10.11540/bjsiam.1.3_230

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Hierarchical decompositions of discrete physical/engineering systems are considered by means of graph and matroid theory. First, a graph-theoretic method, called the Dulmage-Mendelsohn (DM-) decomposition, is described. Though the DM-decomposition is unique from the graph-theoretic viewpoint, the resulting hierarchy cannot be regarded as a physically inherent structure since it varies with mathematical descriptions employed. This critical observation leads to a new method based on matroid theory for systems analysis. A class of matrices, layered mixed(LM-)matrices, is introduced as a mathematical tool for describing the combinatorial structure of discrete systems. An LM-matrix has a canonical block-triangular decomposition, called the combinatorial canonical form(CCF) , which reveals the "invariant" hierarchy. The CCF is an extension of the DM-decomposition and can be computed by a fast algorithm.

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[title in Japanese]

[in Japanese]

Article type: Article
1991 Volume 1 Issue 3 Pages 249-254
Published: September 13, 1991
Released on J-STAGE: April 08, 2017

DOIhttps://doi.org/10.11540/bjsiam.1.3_249

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[title in Japanese]

[in Japanese]

Article type: Article
1991 Volume 1 Issue 3 Pages 255-258
Published: September 13, 1991
Released on J-STAGE: April 08, 2017

DOIhttps://doi.org/10.11540/bjsiam.1.3_255

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[title in Japanese]

[in Japanese], [in Japanese]

Article type: Article
1991 Volume 1 Issue 3 Pages 259-260
Published: September 13, 1991
Released on J-STAGE: April 08, 2017

DOIhttps://doi.org/10.11540/bjsiam.1.3_259

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[title in Japanese]

[in Japanese]

Article type: Article
1991 Volume 1 Issue 3 Pages 261-262
Published: September 13, 1991
Released on J-STAGE: April 08, 2017

DOIhttps://doi.org/10.11540/bjsiam.1.3_261

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[title in Japanese]

[in Japanese]

Article type: Article
1991 Volume 1 Issue 3 Pages 262-
Published: September 13, 1991
Released on J-STAGE: April 08, 2017

DOIhttps://doi.org/10.11540/bjsiam.1.3_262

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[title in Japanese]

[in Japanese]

Article type: Article
1991 Volume 1 Issue 3 Pages 263-265
Published: September 13, 1991
Released on J-STAGE: April 08, 2017

DOIhttps://doi.org/10.11540/bjsiam.1.3_263

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[title in Japanese]

Article type: Appendix
1991 Volume 1 Issue 3 Pages 266-268
Published: September 13, 1991
Released on J-STAGE: April 08, 2017

DOIhttps://doi.org/10.11540/bjsiam.1.3_266

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[title in Japanese]

[in Japanese]

Article type: Article
1991 Volume 1 Issue 3 Pages 269-270
Published: September 13, 1991
Released on J-STAGE: April 08, 2017

DOIhttps://doi.org/10.11540/bjsiam.1.3_269

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[title in Japanese]

[in Japanese]

Article type: Article
1991 Volume 1 Issue 3 Pages 271-272
Published: September 13, 1991
Released on J-STAGE: April 08, 2017

DOIhttps://doi.org/10.11540/bjsiam.1.3_271

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[title in Japanese]

Article type: Appendix
1991 Volume 1 Issue 3 Pages 273-274
Published: September 13, 1991
Released on J-STAGE: April 08, 2017

DOIhttps://doi.org/10.11540/bjsiam.1.3_273

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[title in Japanese]

Article type: Appendix
1991 Volume 1 Issue 3 Pages 274-277
Published: September 13, 1991
Released on J-STAGE: April 08, 2017

DOIhttps://doi.org/10.11540/bjsiam.1.3_274

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[title in Japanese]

Article type: Appendix
1991 Volume 1 Issue 3 Pages 278-
Published: September 13, 1991
Released on J-STAGE: April 08, 2017

DOIhttps://doi.org/10.11540/bjsiam.1.3_278

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[title in Japanese]

Article type: Cover
1991 Volume 1 Issue 3 Pages Cover2-
Published: September 13, 1991
Released on J-STAGE: April 08, 2017

DOIhttps://doi.org/10.11540/bjsiam.1.3_Cover2

JOURNAL FREE ACCESS

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