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A sufficient condition for the convexity of a finite product of positive definite quadratic forms is given in terms of the condition numbers of the underlying matrices. When only...
In this paper, we present a theory for bounding the minimum eigenvalues, maximum eigenvalues, and condition numbers of stiffness matrices arising from the p-version of finite ele...
Lower bounds for the condition numbers of the preconditioned systems are obtained for the Bramble-Pasciak-Schatz substructuring preconditioner and the Neumann-Neumann preconditione...