Linear Chebyshev Approximation of Complex-Valued Functions
I. Barrodale, L. M. Delves, J. C Mason · Mathematics of Computation · 1978
This paper is concerned with Chebyshev approximation by linear functions to complex-valued data. The problem is nonlinear, and we present a convergent algorithm for its solution. We also pose a related linear problem which is simple to solve, and which produces approximations which are near-best in the Chebyshev sense within a factor of $\sqrt 2$. Some numerical examples are provided.