Journal of applied mathematics & informatics

The Korean Society for Computational and Applied Mathematics (한국전산응용수학회)
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EXPLICIT SOLUTIONS OF INFINITE QUADRATIC PROGRAMS

  • Sivakumar, K.C. (School of Mathematics, Anna University) ;
  • Swarna, J.Mercy (School of Mathematics, Anna University)
  • Published : 2003.05.01

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Abstract

Let H be a Hilbert space, X be a real Banach space, A : H \longrightarrow X be an operator with D(A) dense in H, G： H \longrightarrow H be positive definite, $\chi$ $\in$ D(A) and b $\in$ H. Consider the quadratic programming problem: QP： Minimize $\frac{1}{2}$〈p, $\chi$〉 + 〈$\chi$, G$\chi$〉 subject to A$\chi$= b In this paper, we obtain an explicit solution to the above problem using generalized inverses.

Keywords

References

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