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What is Conditioning of Matrix Systems about?

This document discusses the concepts of ill-conditioned and well-conditioned systems of equations. A system is well-conditioned if small changes to the coefficients or right-hand side result in small changes to the solution. A system is ill-conditioned if small changes result in large solution changes. The norm of a matrix is defined as the maximum row sum. The condition number relates how changes in the right-hand side and solution norms compare - a larger ratio means the system is more ill-conditioned. Ex

Author

lakis1987

Language

EN