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  • 1990-1994
  • 1985-1989  (2)
  • minimal representation  (1)
  • parametric Hessian matrix  (1)
  • 1
    Electronic Resource
    Electronic Resource
    Springer
    Annals of operations research 5 (1986), S. 371-394 
    ISSN: 1572-9338
    Keywords: Quadratic programming ; active set algorithms ; parametric Hessian matrix
    Source: Springer Online Journal Archives 1860-2000
    Topics: Mathematics , Economics
    Notes: Abstract We present a general active set algorithm for the solution of a convex quadratic programming problem having a parametrized Hessian matrix. The parametric Hessian matrix is a positive semidefinite Hessian matrix plus a real parameter multiplying a symmetric matrix of rank one or two. The algorithm solves the problem for all parameter values in the open interval upon which the parametric Hessian is positive semidefinite. The algorithm is general in that any of several existing quadratic programming algorithms can be extended in a straightforward manner for the solution of the parametric Hessian problem.
    Type of Medium: Electronic Resource
    Library Location Call Number Volume/Issue/Year Availability
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  • 2
    Electronic Resource
    Electronic Resource
    Springer
    Journal of optimization theory and applications 61 (1989), S. 137-142 
    ISSN: 1573-2878
    Keywords: Convex polyhedral sets ; linear inequalities ; minimal representation ; prime representation ; redundancy
    Source: Springer Online Journal Archives 1860-2000
    Topics: Mathematics
    Notes: Abstract Consider a convex polyhedral set represented by a system of linear inequalities. A prime representation of the polyhedron is one that contains no redundant constraints. We present a sharp upper bound on the difference between the cardinalities of any two primes.
    Type of Medium: Electronic Resource
    Library Location Call Number Volume/Issue/Year Availability
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