A new theorem of the alternative

A new theorem of the alternative

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Article ID: iaor1991689
Country: Netherlands
Volume: 47
Issue: 2
Start Page Number: 297
End Page Number: 299
Publication Date: Jun 1990
Journal: Mathematical Programming (Series A)
Authors:
Abstract:

Although the theorems of the alternative have been well known for a long time, their relationship to linear least squares problems and steepest descent directions was revealed only recently. This relationship was used by the author to derive a new theorem of the alternative. The present research extends this theorem to the 𝓁p norm, p>1.

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