高级检索

 作者：Zhong-bao Wang , Zhang-you Chen , Zhe Chen 来源：[J].Fixed Point Theory and Applications(IF 1.866), 2019, Vol.2019 (1), pp.1-14Springer 摘要：... Our aim is to obtain error bounds for VIMQVI in terms of different gap functions, i.e., the residual gap function, the regularized gap function, and the D -gap function. These bounds provide effective estimated distances between an arbitrary feasible point and the solution se...
 作者：Suhel Ahmad Khan , Javid Iqbal , Yekini Shehu 来源：[J].Journal of Inequalities and Applications(IF 0.822), 2015, Vol.2015 (1), pp.1-19Springer 摘要：... Further, we obtain local/global bounds for the solution of set-valued mixed quasi-variational inequality problems in terms of the residual gap function, the regularized gap function, and the D -gap function. The results obtained in this paper are generalization and refinement...
 作者：Wenyan Zhang , Jiawei Chen , Shu Xu ... 来源：[J].Fixed Point Theory and Applications(IF 1.866), 2015, Vol.2015 (1), pp.1-10Springer 摘要：... Gap functions and error bounds which play a vital role in algorithms design, are two much-addressed topics of vector equilibrium problems. This paper is devoted to studying the scalar-valued gap functions and error bounds for the generalized mixed vector equilibrium problem (...
 作者：Jan Nordström , Hannes Frenander 来源：[J].Journal of Scientific Computing(IF 1.71), 2018, Vol.76 (3), pp.1327-1336Springer 摘要：Abstract(#br)Temporal error bounds for the wave equation expressed on second order form are investigated. We show that, with appropriate choices of boundary conditions, the time and space derivatives of the error are bounded even for long times. No long time bound on the error it...
 作者：Gergő Nemes 来源：[J].Acta Applicandae Mathematicae(IF 0.985), 2017, Vol.150 (1), pp.141-177Springer 摘要：... New integral representations for the remainder terms of these asymptotic expansions are found and used to obtain sharp and realistic error bounds. We also give re-expansions for these remainder terms and provide their error estimates. A detailed discussion on the sharpness of...
 作者：M. García-Esnaola , J. M. Peña 来源：[J].Calcolo(IF 0.8), 2017, Vol.54 (3), pp.813-822Springer 摘要：B -matrices form a subclass of P -matrices for which error bounds for the linear complementarity problem are known. It is proved that a bound involved in such problems is asymptotically optimal. $$B_\pi ^R$$ -matrices form a subclass of P -matrices containing B -matrices. For the...
 作者：Jérôme Bolte , Trong Phong Nguyen , Juan Peypouquet ... 来源：[J].Mathematical Programming(IF 2.09), 2017, Vol.165 (2), pp.471-507Springer 摘要：This paper shows that error bounds can be used as effective tools for deriving complexity results for first-order descent methods in convex minimization. In a first stage, this objective led us to revisit the interplay between error bounds and the Kurdyka-Łojasiewicz (KL) i...
 作者：Feng Wang 来源：[J].Journal of Inequalities and Applications(IF 0.822), 2017, Vol.2017 (1), pp.1-8Springer 摘要：Abstract(#br)In this paper, new error bounds for the linear complementarity problem are obtained when the involved matrix is a weakly chained diagonally dominant B -matrix. The proposed error bounds are better than some existing results. The advantages of the results obtained are...
 作者：Ulrich Langer , Svetlana Matculevich , Sergey Repin 来源：[J].Computers and Mathematics with Applications(IF 2.069), 2019, Vol.78 (8), pp.2641-2671Elsevier 摘要：... We deduce guaranteed and fully computable error bounds adapted to special features of such type of approximations and investigate their efficiency. The derivation of error estimates is based on the analysis of the corresponding integral identity and exploits purely funct...
 作者：Eric A. Hansen 来源：[J].Mathematical Methods of Operations Research(IF 0.314), 2017, Vol.86 (1), pp.1-27Springer 摘要：For stochastic shortest path problems, error bounds for value iteration due to Bertsekas elegantly generalize the classic MacQueen–Porteus error bounds for discounted infinite-horizon Markov decision problems, but incur prohibitive computational overhead. We derive bounds on t...