Solvability of Matrix-Exponential Equations

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 e...

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Bibliographic Details
Published in:Proceedings of the 31st Annual ACM/IEEE Symposium on Logic in Computer Science pp. 798 - 806
Main Authors: Ouaknine, Joel, Pouly, Amaury, Sousa-Pinto, Joao, Worrell, James
Format: Conference Proceeding
Language:English
Published: New York, NY, USA ACM 05.07.2016
Series:ACM Conferences
Subjects:
Computing methodologies
Computing methodologies > Symbolic and algebraic manipulation
Computing methodologies > Symbolic and algebraic manipulation > Symbolic and algebraic algorithms
Computing methodologies > Symbolic and algebraic manipulation > Symbolic and algebraic algorithms > Linear algebra algorithms
Mathematics of computing
Mathematics of computing > Mathematical analysis
Mathematics of computing > Mathematical analysis > Numerical analysis
Mathematics of computing > Mathematical analysis > Numerical analysis > Computations on matrices
matrix logarithms
exponential matrices
commuting matrices
matrix reachability
hybrid automata
ISBN:9781450343916, 1450343910
Online Access:Get full text
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