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SIAMJO
2010
107views more  SIAMJO 2010»
12 years 12 months ago
Error Bounds for Some Semidefinite Programming Approaches to Polynomial Minimization on the Hypercube
We consider the problem of minimizing a polynomial on the hypercube [0, 1]n and derive new error bounds for the hierarchy of semidefinite programming approximations to this problem...
Etienne de Klerk, Monique Laurent
ACMSE
2006
ACM
13 years 9 months ago
Revisiting a limit on efficient quantum computation
In this paper, we offer an exposition of a theorem originally due to Adleman, Demarrais and Huang that shows that the quantum complexity class BQP (Bounded-error Quantum Polynomia...
Tarsem S. Purewal Jr.
FCT
2001
Springer
13 years 9 months ago
Relating Automata-Theoretic Hierarchies to Complexity-Theoretic Hierarchies
We show that some natural refinements of the Straubing and Brzozowski hierarchies correspond (via the so called leaf-languages) step by step to similar refinements of the polynom...
Victor L. Selivanov
COCO
1990
Springer
106views Algorithms» more  COCO 1990»
13 years 9 months ago
The Boolean Hierarchy and the Polynomial Hierarchy: a Closer Connection
We show that if the Boolean hierarchy collapses to level k, then the polynomial hierarchy collapses to BH3(k), where BH3(k) is the kth level of the Boolean hierarchy over P 2 . Th...
Richard Chang, Jim Kadin
CORR
2011
Springer
176views Education» more  CORR 2011»
13 years 7 days ago
Inner approximations for polynomial matrix inequalities and robust stability regions
Following a polynomial approach, many robust fixed-order controller design problems can be formulated as optimization problems whose set of feasible solutions is modelled by para...
Didier Henrion, Jean B. Lasserre