Zobrazeno 1 - 10 of 169 pro vyhledávání: '"Lihong Zhi"'
3
Computing real radicals and S-radicals of polynomial systems
Autor: Mohab Safey El Din, Zhi-Hong Yang, Lihong Zhi
Publikováno v: Journal of Symbolic Computation
Journal of Symbolic Computation, Elsevier, 2021, 102, pp.259-278. ⟨10.1016/j.jsc.2019.10.018⟩
Journal of Symbolic Computation, 2021, 102, pp.259-278. ⟨10.1016/j.jsc.2019.10.018⟩
Let f = ( f 1 , … , f s ) be a sequence of polynomials in Q [ X 1 , … , X n ] of maximal degree D and V ⊂ C n be the algebraic set defined by f and r be its dimension. The real radical 〈 f 〉 r e associated to f is the largest ideal which de
Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::a9351641463c6b5d26f58ac2781e0424
https://doi.org/10.1016/j.jsc.2019.10.018
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4
Lifts of Non-Compact Convex Sets and Cone Factorizations
Autor: Lihong Zhi, Chu Wang
Publikováno v: Journal of Systems Science and Complexity. 33:1632-1655
This paper generalizes the factorization theorem of Gouveia, Parrilo and Thomas to a broader class of convex sets. Given a general convex set, the authors define a slack operator associated to the set and its polar according to whether the convex set
Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::580a07d5011130a3741271470705d247
https://doi.org/10.1007/s11424-020-9050-y
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6
Global Optimization of Polynomials over Real Algebraic Sets
Autor: Lihong Zhi, Zhi-Hong Yang, Chu Wang
Publikováno v: Journal of Systems Science and Complexity. 32:158-184
Let f, g1,..., gs be polynomials in R[X1,..., Xn]. Based on topological properties of generalized critical values, the authors propose a method to compute the global infimum f* of f over an arbitrary given real algebraic set V = {x ∈ Rn | g1(x) = 0
Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_________::22ed95268b8eaa7bdc4a8fa24ebb7b5b
https://doi.org/10.1007/s11424-019-8351-5
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8
Akademický článek
COMPUTING RATIONAL POINTS IN CONVEX SEMIALGEBRAIC SETS AND SUM OF SQUARES DECOMPOSITIONS.
Autor: EL DIN, MOHAB SAFEY, LIHONG ZHI
Publikováno v: SIAM Journal on Optimization. 2010, Vol. 20 Issue 6, p2876-2889. 14p.
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9
A certificate for semidefinite relaxations in computing positive-dimensional real radical ideals
Autor: Lihong Zhi, Chu Wang, Yue Ma
Publikováno v: Journal of Symbolic Computation. 72:1-20
For an ideal I with a positive-dimensional real variety V R ( I ) , based on moment relaxations, we study how to compute a Pommaret basis which is simultaneously a Grobner basis of an ideal J generated by the kernel of a truncated moment matrix and s
Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_________::ba522f3b3b465fa38332dd527427152f
https://doi.org/10.1016/j.jsc.2014.12.002
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10
Quantum Strassen’s theorem
Autor: Lihong Zhi, Shmuel Friedland, Jingtong Ge
Publikováno v: Infinite Dimensional Analysis, Quantum Probability and Related Topics. 23:2050020
Strassen’s theorem circa 1965 gives necessary and sufficient conditions on the existence of a probability measure on two product spaces with given support and two marginals. In the case where each product space is finite, Strassen’s theorem is re
Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_________::953f525fcc45ef30dff4736f1c156f6a
https://doi.org/10.1142/s0219025720500204
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