Khamisov O.O., Stennikov V.A. Interior point and newton methods in solving high dimensional flow distribution problems for pipe networks // Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics). Vol.10556 LNCS. 2017. P.139-149. ISBN (print): 9783319694030. DOI: 10.1007/978-3-319-69404-7_10 In this paper optimal flow distribution problem in pipe network is considered. The investigated problem is a convex sparse optimization...
Теги: convex optimization , interior point method , large-scale optimization , newton method , pipe network , sparse matrix , constraint theory , linear programming , newton-raphson method , optimization , quadratic programming , approximate solution , inequality constrainSolodusha S. Solving one class of systems of the polynomial volterra equations of the first kind by Newton's method // 2017 Constructive Nonsmooth Analysis and Related Topics (Dedicated to the Memory of V.F. Demyanov), CNSA 2017 - Proceedings. 2017. ISBN (print): 9 781 509 062 607. DOI: 10.1109/CNSA.2017.7974016 A known approach to the mathematical modeling of nonlinear dynamic systems (objects) of input-output type is based on the Volterra integro-power series. In this paper consideration is given...
Теги: automation , dynamical systems , integral equations , newton-raphson method , nonlinear dynamical systems , numerical methods , dynamic objects , input and outputs , kantorovich method , newton's methods , nonl