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JSC
2010
13 years 9 months ago
2010
We propose a general framework for obtaining bounds on absolute positiveness of multivariate polynomials. We show that a known bound by Hong is a nearly optimal bound within this ...
JSC
2010
13 years 9 months ago
2010
We describe an algorithm for computing automorphism groups and testing isomorphisms of finite dimensional Lie algebras over finite fields. The algorithm is particularly effect...
JSC
2010
13 years 9 months ago
2010
We consider the algebra of invariants of binary forms of degree 9 with complex coefficients, find the 92 basic invariants, give an explicit system of parameters and show the exis...
JSC
2010
13 years 9 months ago
2010
We show how to compute Hong’s bound for the absolute positiveness of a polynomial in d variables with maximum degree δ in O(n logd n) time, where n is the number of non-zero co...
JSC
2010
13 years 9 months ago
2010
We consider the algebra of invariants of binary forms of degree 10 with complex coefficients, construct a system of parameters with degrees 2, 4, 6, 6, 8, 9, 10, 14 and find the ...