Orthogonality of residual polynomials used in minimaxpolynomial preconditioning

Summary. A polynomial from , the set of polynomials of degree less or equal , is called minimax residual polynomial on a compact set if it has least max-norm on among all polynomials from with fixed lowest coefficient or with two fixed lowest coefficients. It is pointed out that recently published results on orthogonality of minimax residual polynomials on two intervals by H. Jiang [5] are direct consequences of results of the author on orthogonality properties of classical minimal polynomials with respect to the max-norm. In fact, as is demonstrated, even more general and stronger results hold. Received May 26, 1994 / Revised version received September 28, 1994