Computational experiences with discrete L\(_p\)-approximation
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Publication:1844049
DOI10.1007/BF02253335zbMath0282.65014OpenAlexW322272296MaRDI QIDQ1844049
Publication date: 1974
Published in: Computing (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/bf02253335
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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