Computational experiences with discrete L\(_p\)-approximation

DOI10.1007/BF02253335zbMath0282.65014OpenAlexW322272296MaRDI QIDQ1844049

Helmuth Späth, G. Merle

Publication date: 1974

Published in: Computing (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf02253335

Mathematics Subject Classification ID

Numerical smoothing, curve fitting (65D10)

Related Items (18)

Methods of calculating \(l_ p\)-minimum norm solutions of consistent linear systems ⋮ Computational aspects of adaptive combination of least squares and least absolute deviations estimators ⋮ The \(l^ p\)-solution of the nonlinear matrix equation XY=A ⋮ On the convergence of an algorithm for discrete \(L_p\) approximation ⋮ An algorithm for non-negative norm minimal solutions ⋮ Computational experience with an algorithm for discrete \(L_ 1\) approximation ⋮ An algorithm for discrete linear \(L_ p\) approximation ⋮ On leastp-th power methods in multiple regressions and location estimations ⋮ On the application of iterative methods of nondifferentiable optimization to some problems of approximation theory ⋮ Convex \(L^ p\) approximation ⋮ On two methods for discrete \(L_p\) approximation ⋮ Clusterwise linear regression ⋮ Applications of convex separable unconstrained nonsmooth optimization to numerical approximation with respect to l₁- and l_∞-norms ⋮ The geometry of basic, approximate, and minimum-norm solutions of linear equations ⋮ Approximation in normed linear spaces ⋮ The \(\ell_p\)-solution of the linear matrix equation \(AX+YB=C\) ⋮ The convergence of the best discrete linear \(L_ p\) approximation as p\(\to 1\) ⋮ Estimating the matrix \(p\)-norm

Cites Work

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• Handbook series linear algebra. Linear least squares solutions by Householder transformations
• Elimination with weighted row combinations for solving linear equations and least squares problems
• Algorithms for best \(L_ 1\) and \(L_ \infty\) linear approximations on a discrete set
• The calculation of linear best Lp approximations
• Best L p Approximation

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