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Which of the following is a sufficient condition for a system to be stable?(a) Gauss criterion(b) Convergence criterion(c) Stopping criterion(d) Scarborough criterionI have been asked this question during an interview.My question comes from Discretization Aspects in section Basic Aspects of Discretization, Grid Generation with Appropriate Transformation of Computational Fluid Dynamics

Answer»

Right answer is (d) Scarborough criterion

Easiest explanation: A system of linear equations can be taken as STABLE if it satisfies the Scarborough criterion. Scarborough criterion gives a condition about the COEFFICIENT matrix of the ALGEBRAIC system. This criterion ALSO gives information about the boundedness of the PROBLEM.



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