A note on the semi-infinite programming approach to complex approximation

Mathematics of Computation

Volumn 40, Issue 162, 1983, Pages 599-605

  Streit, Roy L ^a   Nuttall, Albert H ^a  

^a NAVAL UNDERSEA WARFARE CENTER   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 84966203028     PISSN: 00255718     EISSN: None     Source Type: Journal    
DOI: 10.1090/S0025-5718-1983-0689476-0     Document Type: Article

References (8)

1. K. Glashoff & K. Roleff, “A new method for Chebyshev approximation of complex-valued functions, " Math. Comp., v. 36, 1981, pp. 233-239.
2. A. Charnes, W. W. Cooper & K. O. Kortanek, “Duality, Haar programs and finite sequence spaces, ” Proc. Nat. Acad. Sri. U.S.A., v. 48, 1962, pp. 783-786.
3. S.-A. Gustafson, “On semi-infinite programming in numerical analysis, ” in Semi-Infinite Programming (R. Hettich, Ed.), Lecture Notes in Control and Information Sciences, Vol. 15, Springer-Verlag, Berlin and New York, 1979, pp. 137-153.
4. R. L. Streit & A. H. Nuttall, “A general Chebyshev complex function approximation procedure and an application to beamforming, ” J. Acoust. Soc. Amer., v. 72, 1982, pp. 181-190; Also NUSC Technical Report 6403, 26 February 1981. (Naval Underwater Systems Center, New London, Connecticut, U.S.A.)
5. K. Yosida, Functional Analysis, 2nd ed., Springer-Verlag, Berlin and New York, 1968.
6. I. Barrodale & C. Phillips, “Solution of an overdetermined system of linear equations in the Chebyshev norm, ” Algorithm 495, ACM Trans. Math. Software, v. 1, 1975, pp. 264-270.
7. R. L. Streit, Numerical Solutions of Systems of Complex Linear Equations with Constraints on the Unknowns, Stanford University Department of Operations Research SOL Report. (To appear.)
8. G. A. Watson, Approximation Theory and Numerical Methods, Wiley, New York, 1980.