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An error estimate for matrix equations
Authors:Yang Cao  Linda Petzold
Institution:

Department of Computer Science, University of California, Santa Barbara, CA 93106, USA

Abstract:This paper proposes a new method for estimating the error in the solution of matrix equations. The estimate is based on the adjoint method in combination with small sample statistical theory. It can be implemented simply and is inexpensive to compute. Numerical examples are presented which illustrate the power and effectiveness of the new method.
Keywords:Condition number  Adjoint method  Lyapunov equation  Sylvester equation
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