J.S. Pang, "Error bounds in mathematical programming," Mathematical Programming 79 (1997) 299-332.Z.-Q. Luo and J.-S. Pang. Preface: Error bounds in mathematical programming. Mathematical Programming, 88:221--222, 2000.Pang, J.S.: Error bounds in mathematical programming. Math. Program....
Error Bounds in Mathematical Programming.Error Bounds in Mathematical Programming.Discusses the implementation and numerical considerations of iterative methods for solving mathematical programs. Importance of residual functions to iterative algorithms; Applications of error bounds; Information on several studies ...
For a given minimization problem with a nonempty solution set, we study the notion of well-posedness and the existence of two associated error bounds for the problem. We give sufficient conditions for the problem to be well-posed and the existence of these error bounds. We show that the well...
摘要: Error bounds play an important role in the research of mathematical programming. Using some techniques of nonsmooth analysis, we establish some results on the existence of higher-order error bounds for difference functions with set constraints....
In the present paper, we are concerned with conditions ensuring the exact penalty for nonconvex programming. Firstly, we consider problems with concave objective and constraints. Secondly, we establish various results on error bounds for systems of DC inequalities and exact penalty, with/without error...
Certified real‐time solution of the parametrized steady incompressible Navier–Stokes equations: rigorous reduced‐basis a posteriori error bounds We present a technique for the evaluation of linear-functional outputs of parametrized elliptic partial differential equations in the context of deployed (... ...
Errors can arise in many forms: from a null user input, to attempting a division by zero; although, what most users don't realise is that thumping theEsckey during program execution is also considered an error and will hence abort the program instantaneously. This usually induces the situation...
Decoding error-correctiong codes by methods of mathematical optimization, most importantly linear programming, has become an important alternative approach to both algebraic and iterative decoding methods since its introduction by Feldman et al. At first celebrated mainly for its analytical powers, real-...
Specially, some error bounds for linear complementarity problems with B-type matrices have been derived by the papers [16,17,18,19]. In this paper, we provide an upper bound for infinity norm of the inverse of SDD1 matrix and apply the new bound to estimate the error for linear ...
Mathematical ProgrammingNgai HV, Thera M (2009) Error bounds for systems of lower semicontinuous functions in Asplund spaces. Math Program Ser B 116:397-427H.V. Ngai and M. Thera, Error bounds for systems of lower semicontinuous functions in Asplund spaces, Math. Program. 116 (2009), 397...