On the fixed-point type Sylvester matrix equations over complete commutative dioids
Keyword(s):
This paper extends the concept of tropical tensor product defined by Butkovic and Fiedler to general idempotent dioids. Then, it proposes an algorithm in order to solve the fixed-point type Sylvester matrix equations of the form X = A â X â X â B â C. An application is discussed in efficiently solving the minimum cardinality path problem in Cartesian product graphs.
2002 ◽
Vol 66
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pp. 57-67
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2004 ◽
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pp. 171-181
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2010 ◽
Vol 7
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pp. 479-483
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2018 ◽
Vol 60
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pp. 413-434
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2008 ◽
Vol 308
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pp. 6441-6448
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2018 ◽
Vol 355
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pp. 7691-7705
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2016 ◽
Vol 353
(13)
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pp. 3233-3248
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