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A Jordan-algebraic approach to potential-reduction algorithms. (English) Zbl 0996.65065
The author considers a linear monotone complementarity problem for domains obtained as the intersection of an affine subspace and the Cartesian product of symmetric cones. For this problem, a primal-dual potential-reduction algorithm is derived using the Jordan-algebraic technique.

MSC:
65K05 Numerical mathematical programming methods
90C33 Complementarity and equilibrium problems and variational inequalities (finite dimensions) (aspects of mathematical programming)
17C99 Jordan algebras (algebras, triples and pairs)
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