Abstract
In this chapter, we present several results which were obtained in fractional programming in complex space. The idea of studying the mathematical programming in complex space belongs to N. Levinson (“Linear programming in complex space”,J. Math. Anal. Appl., 14, 44-62 (1966)) who extended to the complex space the basic theorems of linear programming. In particular, using a variant in the complex space of Farcas’ Lemma from real space, he generalizes duality theorems from real linear programming. Since then, over 160 works of mathematical programming in the complex space (See Dorel I. Duca and I.M. Stancu -Minasian, “Mathematical programming in complex space: a comprehensive bibliography”,Rev. Anal. Numer. Theor. Approx. 17(2), 1988, 133-140) have appeared. Several works refer to fractional programming. A synthesis of these was given by Stancu-Minasian [908].
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© 1997 Kluwer Academic Publishers
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Stancu-Minasian, I.M. (1997). Fractional Programming in The Complex Space. In: Fractional Programming. Mathematics and Its Applications, vol 409. Springer, Dordrecht. https://doi.org/10.1007/978-94-009-0035-6_8
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DOI: https://doi.org/10.1007/978-94-009-0035-6_8
Publisher Name: Springer, Dordrecht
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