Abstract We study weighted total least squares problems on infinite dimensional spaces. present some necessary and sufficient conditions for the regularized problem to have a solution. The existence of solution can also be assured minimization with constraint special subsets. Furthermore, we show that regularization in is necessary, since most cases without does not admit

Related DatabasesWeb of Science You must be logged in with an active subscription to view this.Article DataHistorySubmitted: 24 August 2020Accepted: 28 January 2021Published online: 08 April 2021Keywordslinear quadratic problem, overtaking optimal control, controllabilityAMS Subject Headings49J15, 49N10, 93B05Publication DataISSN (print): 0363-0129ISSN (online): 1095-7138Publisher: Society for ...

the rapid melting of a semi- infinite body due to the absorption of a cw laser beam radiation has been studied. the enthalpy technique for the solution of phase change problems has been used in an explicit finite difference form to calculate the transient temperature distribution in the semi-infinite body and the growth rate of the melt pool. the technique has been modified so that it is not ne...

We show how to transform an infinite horizon optimization problem into a one-dimensional global optimization problem over a closed and bounded feasible region whose objective function is Hölder continuous with known parameters. The deep connection elicited between the two areas of study introduces several opportunities for cross-fertilization which we exploit within this paper.

The lack of a uni ed framework for constraint problems has resulted in a diversity of constraint solution techniques and methods for describing constraint problems. A uni ed framework would allow the construction of a kernel constraint engine, capable of solving constraint problems composed of models from di erent domains, such as engineering and geometric problems. As a rst step towards such a...