A comparison of the monomial method and the S-system method for solving systems of algebraic equations

DOI10.1016/S0096-3003(97)00397-4zbMath0907.65047OpenAlexW2028057268MaRDI QIDQ1126692

Scott A. Burns, Michael A. Savageau, Keith M. Mueller

Publication date: 2 August 1998

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

Full work available at URL: https://doi.org/10.1016/s0096-3003(97)00397-4

zbMATH Keywords

comparison of methodssystem of nonlinear equationscomputational efficiencymonomial methodcombinatorial strategyS-system method

Mathematics Subject Classification ID

Numerical computation of solutions to systems of equations (65H10) Complexity and performance of numerical algorithms (65Y20)

Related Items (4)

Evaluation of an S-system root-finding method for estimating parameters in a metabolic reaction model ⋮ Biochemical systems theory: a review ⋮ 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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• Recasting nonlinear differential equations as S-systems: a canonical nonlinear form
• Finding multiple roots of nonlinear algebraic equations using S-system methodology
• Geometric programming with signomials
• 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
• The monomial method: Extensions, variations, and performance issues
• The monomial method and asymptotic properties of algebraic systems

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