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101.
102.
Xiangsong Zhang Sanyang Liu Zhenhua Liu 《Journal of Applied Mathematics and Computing》2010,32(2):369-381
In this paper, the second order cone programming problem is studied. By introducing a parameter into the Fischer-Burmeister function, a predictor-corrector smoothing Newton method for solving the problem is presented. The proposed algorithm does neither have restrictions on its starting point nor need additional computation which keep the iteration sequence staying in the given neighborhood. Furthermore, the global and the local quadratic convergence of the algorithm are obtained, among others, the local quadratic convergence of the algorithm is established without strict complementarity. Preliminary numerical results indicate that the algorithm is effective. 相似文献
103.
Jordan operator algebras are norm‐closed spaces of operators on a Hilbert space with for all . In two recent papers by the authors and Neal, a theory for these spaces was developed. It was shown there that much of the theory of associative operator algebras, in particular, surprisingly much of the associative theory from several recent papers of the first author and coauthors, generalizes to Jordan operator algebras. In the present paper we complete this task, giving several results which generalize the associative case in these papers, relating to unitizations, real positivity, hereditary subalgebras, and a couple of other topics. We also solve one of the three open problems stated at the end of our earlier joint paper on Jordan operator algebras. 相似文献
104.
An adaptive multi-penalty discontinuous Galerkin method (AMPDG) for
the diffusion problem is considered. Convergence and quasi-optimality of the AMPDG
are proved. Compared with the analyses for the adaptive finite element method
or the adaptive interior penalty discontinuous Galerkin method, extra works is done to overcome the difficulties caused by the additional penalty terms. 相似文献
105.
106.
107.
** Email: guo_zhenhua{at}iapcm.ac.cn*** Email: jiang{at}iapcm.ac.cn We investigate the self-similar solutions to the isothermalcompressible NavierStokes equations. The aim of thispaper is to show that there exist neither forward nor backwardself-similar solutions with finite total energy. This generalizesthe results for the incompressible case in Neas, J., Rika, M.& verák, V. (1996, On Leray's self-similar solutionsof the Navier-Stokes equations. Acta. Math., 176, 283294),and is consistent with the (unproved) existence of regular solutionsglobally in time for the compressible NavierStokes equations. 相似文献
108.
Positivity - Examples of operator algebras with involution include the operator $$*$$-algebras occurring in noncommutative differential geometry studied recently by Mesland, Kaad, Lesch, and... 相似文献
109.
A join graph denoted by G + H,is illustrated by connecting each vertex of graph G to each vertex of graph H.In this paper,we prove the crossing number of join product of K_5 + P_n is Z(5,n) + 2 n + [n/2] + 4 for n ≥ 2. 相似文献
110.