Finding all solution sets of piecewise-linear interval equations using an integer programming solver

Journal of Computational and Applied Mathematics ◽

10.1016/j.cam.2019.112616 ◽

2020 ◽

Vol 372 ◽

pp. 112616 ◽

Author(s):

Kiyotaka Yamamura

Keyword(s):

Integer Programming ◽

Piecewise Linear ◽

Solution Sets ◽

Interval Equations ◽

Linear Interval ◽

Linear Interval Equations

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Finding all solution sets of piecewise-linear interval equations using integer programming

2017 European Conference on Circuit Theory and Design (ECCTD) ◽

10.1109/ecctd.2017.8093317 ◽

2017 ◽

Author(s):

Kiyotaka Yamamura ◽

Ryota Watanabe

Keyword(s):

Integer Programming ◽

Piecewise Linear ◽

Solution Sets ◽

Interval Equations ◽

Linear Interval ◽

Linear Interval Equations

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Linear interval equations with symmetric solution sets

Computational Mathematics and Mathematical Physics ◽

10.1134/s0965542508040027 ◽

2008 ◽

Vol 48 (4) ◽

pp. 531-538 ◽

Author(s):

L. T. Ashchepkov

Keyword(s):

Symmetric Solution ◽

Solution Sets ◽

Interval Equations ◽

Linear Interval ◽

Linear Interval Equations

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Further results on linear interval equations

Linear Algebra and its Applications ◽

10.1016/0024-3795(87)90164-9 ◽

1987 ◽

Vol 87 ◽

pp. 155-179 ◽

Author(s):

A. Neumaier

Keyword(s):

Interval Equations ◽

Linear Interval ◽

Linear Interval Equations

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Equivalent method for accurate solution to linear interval equations

Applied Mathematics and Mechanics ◽

10.1007/s10483-013-1725-6 ◽

2013 ◽

Vol 34 (8) ◽

pp. 1031-1042 ◽

Author(s):

Chong Wang ◽

Zhi-ping Qiu

Keyword(s):

Accurate Solution ◽

Interval Equations ◽

Linear Interval ◽

Linear Interval Equations ◽

Equivalent Method

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Interval solutions of linear interval equations

Applications of Mathematics ◽

10.21136/am.1990.104406 ◽

1990 ◽

Vol 35 (3) ◽

pp. 220-224 ◽

Author(s):

Jiří Rohn

Keyword(s):

Interval Equations ◽

Linear Interval ◽

Linear Interval Equations

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Linear interval equations

Interval Mathematics 1985 - Lecture Notes in Computer Science ◽

10.1007/3-540-16437-5_11 ◽

1986 ◽

pp. 109-120 ◽

Author(s):

A. Neumaier

Keyword(s):

Interval Equations ◽

Linear Interval ◽

Linear Interval Equations

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A two-sequence method for linear interval equations

Computing ◽

10.1007/bf02238736 ◽

1989 ◽

Vol 41 (1-2) ◽

pp. 137-140 ◽

Author(s):

J. Rohn

Keyword(s):

Interval Equations ◽

Sequence Method ◽

Linear Interval ◽

Linear Interval Equations

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On Shary's Algebraic Approach for Linear Interval Equations

SIAM Journal on Matrix Analysis and Applications ◽

10.1137/s0895479898347472 ◽

2000 ◽

Vol 21 (4) ◽

pp. 1156-1162 ◽

Author(s):

Arnold Neumaier

Keyword(s):

Algebraic Approach ◽

Interval Equations ◽

Linear Interval ◽

Linear Interval Equations

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The AOR method for solving linear interval equations

Computing ◽

10.1007/bf02241224 ◽

1989 ◽

Vol 41 (4) ◽

pp. 359-364 ◽

Author(s):

Ljiljana Cvetković ◽

Dragoslav Herceg

Keyword(s):

Interval Equations ◽

Linear Interval ◽

Linear Interval Equations

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On the determination of the interval hull of linear interval equations

Computing ◽

10.1007/bf02238301 ◽

1991 ◽

Vol 46 (3) ◽

pp. 253-263 ◽

Author(s):

D. Hudak

Keyword(s):

Interval Equations ◽

Linear Interval ◽

Linear Interval Equations ◽

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