Combined Newton-Gradient Method for Constrained Root-Finding in Chemical Reaction Networks

In this work, we present a fast, globally convergent, iterative algorithm for computing the asymptotically stable states of nonlinear large-scale systems of quadratic autonomous ordinary differential equations (ODE) modeling, e.g., the dynamic of complex chemical reaction networks. Toward this aim,...

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Bibliographic Details
Published in:	Journal of optimization theory and applications Vol. 200; no. 1; pp. 404 - 427
Main Authors:	Berra, Silvia, La Torraca, Alessandro, Benvenuto, Federico, Sommariva, Sara
Format:	Journal Article
Language:	English
Published:	New York Springer US 01.01.2024 Springer Nature B.V
Subjects:	Algorithms Applications of Mathematics Asymptotic properties Calculus of Variations and Optimal Control; Optimization Cauchy problems Chemical reactions Colorectal cancer Constraints Differential equations Engineering Iterative algorithms Iterative methods Mathematical models Mathematics Mathematics and Statistics Modelling Newton methods Nonlinear equations Nonlinear systems Operations Research/Decision Theory Operators (mathematics) Optimization Ordinary differential equations Original Paper Theory of Computation 65L05 Projected Newton’s method Box-constrained optimization 65K10 Chemical reaction network Projected gradient descent Nonnegative constraints
ISSN:	0022-3239, 1573-2878
Online Access:	Get full text
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