this paper presents a hybrid technique for simultaneous estimation of parameter and function in inverse heat conduction problems. no prior information is used for the functional form of the heat flux in the present study. the scheme presented here is a combination of two different classical methods: the variable metric method (vmm) and gauss method (gm). the determination of the unknown thermal...

In this paper, we propose a variable metric method for unconstrained multiobjective optimization problems (MOPs). First, sequence of points is generated using different positive definite matrices in the generic framework. It proved that accumulation are Pareto critical points. Then, without convexity assumption, strong convergence established proposed method. Moreover, use common matrix to appr...

The relationship between variable-metric methods derived by norm minimization and those derived by symmetrization of rank-one updates for sparse systems is studied, and an analogue of Dennis's nonsparse symmetrization formula derived. A new method of using norm minimization to produce a sparse analogue of any nonsparse variable-metric method is proposed. The sparse BFGS generated by this method...