Geodesic Convexity on R+n

  • Tamás Rapcsák
Part of the Nonconvex Optimization and Its Applications book series (NOIA, volume 19)


Many of the numerous articles published recently on interior point algorithms focused on vector fields, potential functions and the analysis of the potential reduction methods. Affine and projective scaling methods based on the affine and projective vector fields are originated from affine and projective metrics. Riemannian geometry underlying interior point methods was investigated in Karmarkar (1990), the affine and projective scaling trajectories in Bayer and Lagarias (1989/a, 1989/b) and the integrability of vector and multivector fields associated with interior point methods in Iri (1991).


Interior Point Method Riemannian Metrics Christoffel Symbol Separable Function Interior Point Algorithm 
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Copyright information

© Springer Science+Business Media Dordrecht 1997

Authors and Affiliations

  • Tamás Rapcsák
    • 1
  1. 1.Computer and Automation Institute of Hungarian Academy of SciencesBudapestHungary

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