• Jonathan M. Borwein
  • Adrian S. Lewis
Part of the CMS Books in Mathematics / Ouvrages de mathématiques de la SMC book series (CMSBM)


We begin by reviewing some of the fundamental algebraic, geometric and analytic ideas we use throughout the book. Our setting, for most of the book, is an arbitrary Euclidean space E, by which we mean a finite-dimensional vector space over the reals R, equipped with an inner product ‹·,·›. We would lose no generality if we considered only the space R n of real (column) n-vectors (with its standard inner product), but a more abstract, coordinate-free notation is often more flexible and elegant.


Linear Subspace Relative Interior Closed Convex Cone Recession Cone Positive Semidefinite Matrice 


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Copyright information

© Springer Science+Business Media New York 2000

Authors and Affiliations

  • Jonathan M. Borwein
    • 1
  • Adrian S. Lewis
    • 2
  1. 1.Centre for Experimental and Constructive Mathematics, Department of Mathematics and StatisticsSimon Fraser UniversityBurnabyCanada
  2. 2.Department of Combinatorics and OptimizationUniversity of WaterlooWaterlooCanada

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