On the block-structured distance to non-surjectivity of sublinear mappings

  • Javier F. Peña
    • Categories Convex Optimization, Generalized Convexity/Monoticity, Nonsmooth Optimization Tags , , , Short URL: https://optimization-online.org/?p=8902

    We show that the block-structured distance to non-surjectivity of a set-valued sublinear mapping equals the reciprocal of a suitable block-structured norm of its inverse. This gives a natural generalization of the classical Eckart and Young identity for square invertible matrices.

    Citation

    Mathematical Programming 103 (2005) pp. 561--573.