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Article Dans Une Revue Mathematical Programming Année : 2011

Uniform boundedness of the inverse of a Jacobian matrix arising in regularized interior-point methods

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Paul Armand
DMI
Joël Benoist
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DMI

Résumé

This short communication analyses a boundedness property of the inverse of a Jacobian matrix that arises in regularized primal-dual interior-point methods for linear and nonlinear programming. This result should be a useful tool for the convergence analysis of these kinds of methods.

Dates et versions

hal-00920218 , version 1 (27-03-2012)
hal-00920218 , version 2 (18-12-2013)

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Paul Armand, Joël Benoist. Uniform boundedness of the inverse of a Jacobian matrix arising in regularized interior-point methods. Mathematical Programming, 2011, pp.Online. ⟨10.1007/s10107-011-0498-3⟩. ⟨hal-00920218v1⟩
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