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\iteman{io-port 06091778}
\itemau{Su, Menglong; Wang, Jian}
\itemti{Solving nonlinear programming problems on unbounded sets via a homotopy interior point method.}
\itemso{Period. Ocean Univ. China 41, No. 1-2, 185-188 (2011).}
\itemab
Summary: {\it G. C. Feng} et al. [Nonlinear Anal., Theory Mathods Appl. 32, No. 6, 761--768 (1998; Zbl 1060.90692)] proposed a homotopy interior point method to solve a class of nonlinear programming problems by requiring the boundedness of the feasible set. It was also conjectured that the result may be generalized to unbounded sets. In this paper, an unbounded condition is presented, under which we are able to resolve the conjecture partially. Two numerical examples are given to illustrate the effectiveness of the results.
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\itemcc{}
\itemut{homotopy interior point method; nonlinear programming problems; unbounded sets}
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