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Direct methods for the solution of linear systems

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Publication:1063385
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DOI10.1007/BF02576535zbMath0574.65032MaRDI QIDQ1063385

A. Laratta, Mario Arioli

Publication date: 1984

Published in: Calcolo (Search for Journal in Brave)


zbMATH Keywords

error propagationorthogonal decompositionunderdetermined linear system


Mathematics Subject Classification ID

Numerical solutions to overdetermined systems, pseudoinverses (65F20)


Related Items

Error analysis of algorithms for computing the projection of a point onto a linear manifold ⋮ A big-M type method for the computation of projections onto polyhedrons


Uses Software

  • LINPACK


Cites Work

  • Error analysis of an algorithm for solving an undetermined linear system
  • Numeric computation of the projection of a point onto a polyhedron
  • A direct method for the general solution of a system of linear equations
  • Numerical methods for solving linear least squares problems
  • The Gradient Projection Method for Nonlinear Programming. Part I. Linear Constraints
  • Perturbation Theory for the Least Squares Problem with Linear Equality Constraints
  • Solving linear least squares problems by Gram-Schmidt orthogonalization
  • Experiments on Gram-Schmidt Orthogonalization
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