Transactions of the Japan Society for Industrial and Applied Mathematics

Online ISSN : 2424-0982
ISSN-L : 0917-2246

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Volume 16, Issue 2

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[title in Japanese]

Article type: Cover
2006 Volume 16 Issue 2 Pages Cover1-
Published: June 25, 2006
Released on J-STAGE: April 08, 2017

DOIhttps://doi.org/10.11540/jsiamt.16.2_Cover1

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[title in Japanese]

Article type: Cover
2006 Volume 16 Issue 2 Pages Cover2-
Published: June 25, 2006
Released on J-STAGE: April 08, 2017

DOIhttps://doi.org/10.11540/jsiamt.16.2_Cover2

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[title in Japanese]

Article type: Appendix
2006 Volume 16 Issue 2 Pages App1-
Published: June 25, 2006
Released on J-STAGE: April 08, 2017

DOIhttps://doi.org/10.11540/jsiamt.16.2_App1

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[title in Japanese]

[in Japanese]

Article type: Article
2006 Volume 16 Issue 2 Pages A1-
Published: June 25, 2006
Released on J-STAGE: April 08, 2017

DOIhttps://doi.org/10.11540/jsiamt.16.2_A1

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Existence theorems of quasiperiodic solutions to nonlinear differential difference equations(Theory)

Yasuaki Shinohara, Izumi Miyamoto, Tomohiro Suzuki, Mitunobu Kurihara

Article type: Article
2006 Volume 16 Issue 2 Pages 93-103
Published: June 25, 2006
Released on J-STAGE: April 08, 2017

DOIhttps://doi.org/10.11540/jsiamt.16.2_93

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In this research, we consider a quasiperiodic system of nonlinear differential difference equations. We prove a new theorem to solve these equations. It says that one can always assure the existence of quasiperiodic solution by checking several conditions on an obtained approximate solution and further give a method to obtain an error bound of the approximate solution. The approximate solutions are constructed by the method of Galerkin's procedure based on trigonometric polynomials. We carry out some numerical experiments using the method of Galerkin's procedure.

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Benders Decomposition for Robust Mixed Integer Programming(Application)

Hiroo Saito, Kazuo Murota

Article type: Article
2006 Volume 16 Issue 2 Pages 105-119
Published: June 25, 2006
Released on J-STAGE: April 08, 2017

DOIhttps://doi.org/10.11540/jsiamt.16.2_105

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We consider mixed integer programming (MIP) problems with uncertain data. Robust solutions to such problems are formulated as solutions of second-order cone programming problems with integer constraints, which can be solved by an adaptation of the Benders decomposition technique towards MIP with conic constraints. Preliminary numerical computation against robust 0-1 knapsack problems indicates that robustness can be achieved without substantial deterioration in optimal values.

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A Numerical Method for Eigensolution of Locally Modified Matrices Based on the Inverse Power Method(Practice)

Mitsuhiro KASHIWAGI

Article type: Article
2006 Volume 16 Issue 2 Pages 121-133
Published: June 25, 2006
Released on J-STAGE: April 08, 2017

DOIhttps://doi.org/10.11540/jsiamt.16.2_121

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Rapid reanalysis of eigensolutions after modifications is a problem of considerable practical importance. Several methods have been developed to compute eigenvalues by using modified parts. This paper proposes a numerical method for calculating eigenvalues of modified system using the numerical solutions of unmodified system with the Inverse Power method. The advantages of the proposed method are examined comparing with the solutions of inverse power method by several numerical examples. The results obtained agree well with the exact solutions in short CPU time and this indicates that the proposed method provides efficient convergency.

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[title in Japanese]

Article type: Appendix
2006 Volume 16 Issue 2 Pages App2-
Published: June 25, 2006
Released on J-STAGE: April 08, 2017

DOIhttps://doi.org/10.11540/jsiamt.16.2_App2

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[title in Japanese]

Article type: Appendix
2006 Volume 16 Issue 2 Pages App3-
Published: June 25, 2006
Released on J-STAGE: April 08, 2017

DOIhttps://doi.org/10.11540/jsiamt.16.2_App3

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[title in Japanese]

Article type: Appendix
2006 Volume 16 Issue 2 Pages App4-
Published: June 25, 2006
Released on J-STAGE: April 08, 2017

DOIhttps://doi.org/10.11540/jsiamt.16.2_App4

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[title in Japanese]

Article type: Cover
2006 Volume 16 Issue 2 Pages Cover3-
Published: June 25, 2006
Released on J-STAGE: April 08, 2017

DOIhttps://doi.org/10.11540/jsiamt.16.2_Cover3

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[title in Japanese]

Article type: Cover
2006 Volume 16 Issue 2 Pages Cover4-
Published: June 25, 2006
Released on J-STAGE: April 08, 2017

DOIhttps://doi.org/10.11540/jsiamt.16.2_Cover4

JOURNAL FREE ACCESS

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