Abstract
This paper describes upper and lowerp-norm error bounds for approximate solutions of the linear system of equationsAx=b. These bounds imply that the error is proportional to the quantity $$\left\| r \right\|_2^2 \left\| {A^T r} \right\|_q^{ - 1} $$ wherer is the residual andq is the conjugate index top. The constant of proportionality is larger than 1 and lies in a specified range. Similar results are obtained for approximations toA ?1 and solutions of nonsingular linear equations on general spaces.
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