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[ACM Press the 36th international symposium - San Jose, California, USA (2011.06.08-2011.06.11)] Proceedings of the 36th international symposium on Symbolic and algebraic computation - ISSAC '11 - A simple but exact and efficient algorithm for complex root isolation

✍ Scribed by Yap, Chee K.; Sagraloff, Michael

Book ID
125492585
Publisher
ACM Press
Year
2011
Weight
488 KB
Category
Article
ISBN
1450306756

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[ACM Press the 36th international sympos
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The problem of computing a representation for a real polynomial as a sum of minimum number of squares of polynomials can be casted as finding a symmetric positive semidefinite real matrix of minimum rank subject to linear equality constraints. In this paper, we propose algorithms for solving the min

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Let I βŠ‚ K[x 1 ,...,x n ] be a 0-dimensional ideal of degree D where K is a field. It is well-known that obtaining efficient algorithms for change of ordering of GrΓΆbner bases of I is crucial in polynomial system solving. Through the algorithm FGLM, this task is classically tackled by linear algebra