Conference item
Solvability of matrix-exponential equations
- Abstract:
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We consider a continuous analogue of (Babai et al. 1996)’s and (Cai et al. 2000)’s problem of solving multiplicative matrix equations. Given k + 1 square matrices A1,..., Ak, C, all of the same dimension, whose entries are real algebraic, we examine the problem of deciding whether there exist non-negative reals t1,..., tk such that k/Π/i=1 exp(Ai ti) = C. We show that this problem is undecidable in general, but decidable under the assumption that the matrices A1, ..., Ak commute. Our results ...
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- Publication status:
- Published
- Peer review status:
- Peer reviewed
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(Accepted manuscript, pdf, 333.1KB)
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- Publisher copy:
- 10.1145/2933575.2934538
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Authors
Funding
+ Engineering and Physical Sciences Research Council
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Funding agency for:
Ouaknine, J
+ Engineering and Physical Sciences Research Council
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Funding agency for:
Sousa Pinto, J
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Bibliographic Details
- Publisher:
- ACM/IEEE Symposium on Logic in Computer Science Publisher's website
- Journal:
- Thirty-First Annual ACM/IEEE Symposium on Logic in Computer Science Journal website
- Host title:
- Thirty-First Annual ACM/IEEE Symposium on Logic in Computer Science
- Publication date:
- 2016-08-01
- Acceptance date:
- 2016-04-04
- DOI:
- Source identifiers:
-
619304
Item Description
- Keywords:
- Pubs id:
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pubs:619304
- UUID:
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uuid:b24e9e23-7fd3-418f-83bb-5820fa57f5d5
- Local pid:
- pubs:619304
- Deposit date:
- 2016-08-11
Terms of use
- Copyright holder:
- Worrell et al
- Copyright date:
- 2016
- Notes:
- Copyright © held by owner/author(s). Publication rights licensed to ACM
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