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Browsing SoAS - Scholarly Publications by Author "Takche, J."

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Browsing SoAS - Scholarly Publications by Author "Takche, J."

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  • Complexities of special matrix multiplication problems 
    Takche, J. (2018-04-17)
    This paper develops optimal algorithms to multiply an n × n symmetric tridiagonal matrix by: (i) an arbitrary n × m matrix using 2nm − m multiplications; (ii) a symmetric tridiagonal matrix using 6n − 7 multiplications; ...
  • Proximal Smoothness and the Exterior Sphere Condition 
    Nour, C.; Stern, R. J.; Takche, J. (2016-03-30)
    Proximal smoothness and the exterior sphere condition are compared. It is shown via examples that these two properties are not necessarily equivalent, and geometric conditions are provided under which the equivalence holds.
  • The θ-exterior sphere condition, φ-convexity, and local semiconcavity 
    Nour, C.; Stern, R. J.; Takche, J. (2016-04-08)
    We consider sets S⊂Rn satisfying a locally uniform exterior sphere condition called the θ-exterior sphere condition . It is shown that under wedgedness of S, this coincides with the φ-convexity property studied by Colombo ...

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