A Web-based Library for Testing Performance of Numerical Software for Solving Nonlinear Algebraic Equations

摘要

The desirable structure for a web-based test problem library of nonlinear algebraic equations is investigated. Limitations of existing test problem collections―regarding the type of information included and the form in which this information is stored and presented―are demonstrated. It is concluded that a web-based test problem library with beneficial aspects for potential users should contain the problem definition with the following information: the model equations in the same form as the input for the numerical solver, the explicit definitions of constraints on the variables, the initial estimates and function values at the initial estimates, and the variable values and function values at the solution. All variables and function values should be reported with the same precision as that of the numerical solution.