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Methods of calculating \(l_ p\)-minimum norm solutions of consistent linear systems - MaRDI portal

Methods of calculating \(l_ p\)-minimum norm solutions of consistent linear systems (Q1338558)

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scientific article; zbMATH DE number 698711
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Methods of calculating \(l_ p\)-minimum norm solutions of consistent linear systems
scientific article; zbMATH DE number 698711

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    Methods of calculating \(l_ p\)-minimum norm solutions of consistent linear systems (English)
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    18 February 1996
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    A primal and dual Newton method is proposed for solving a problem of the form \(\min\{|x|^p_p/p;\) \(Ax= b\}\), where \(1< p< \infty\) and \(Ax= b\) is a consistent system of \(m\) linear equations in \(n\) unknowns, \(m\leq n\).
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    primal and dual Newton method
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