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The condition numbers described by Stewart, Todd and others for a matrix $ A $ are given by the suprema of the norms of all the oblique projection operators respectively on the image space of $ A^T $ and the null space of $ A $. This paper shows that these two numbers coincide.
Department of Mathematics, Federal University of Santa Catarina, Cx. Postal 5210, 88040-970 Florianopolis, SC, Brazil
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