Finding multiple roots of nonlinear algebraic equations using S-system methodology

DOI10.1016/0096-3003(93)90020-FzbMath0771.65025MaRDI QIDQ2365618

Michael A. Savageanu

Publication date: 29 June 1993

Published in: Applied Mathematics and Computation (Search for Journal in Brave)

zbMATH Keywords

numerical resultsquadratic convergencesystems of nonlinear equationsiterative processmultiple rootsnonlinear algebraic equations\(S\)-systemgeneralized mass action equations

Mathematics Subject Classification ID

Numerical computation of solutions to single equations (65H05) Real polynomials: location of zeros (26C10)

Related Items (6)

Evaluation of an S-system root-finding method for estimating parameters in a metabolic reaction model ⋮ Biochemical systems theory: a review ⋮ A comparison of the monomial method and the S-system method for solving systems of algebraic equations ⋮ An effective method to increase solvability in biochemical systems using S-system ⋮ A monomial‐based method for non‐linear structural analysis ⋮ Solution of a two-point boundary value model of immobilized enzyme reactions, using an \(S\)-system-based root-finding method

Uses Software

• ESSYNS

Cites Work

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• A comparison of variant theories of intact biochemical systems. II: Flux- oriented and metabolic control theories
• Recasting nonlinear differential equations as S-systems: a canonical nonlinear form
• Efficient Solution of Nonlinear Ordinary Differential Equations Expressed in S-system Canonical Form
• A monomial-based method for solving systems of non-linear algebraic equations
• Chemical equilibrium systems as numerical test problems

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