PCR algorithm for parallel computing minimum-norm \((T)\) least-squares \((S)\) solution of inconsistent linear equations
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Publication:1855903
DOI10.1016/S0096-3003(01)00256-9zbMath1029.65038MaRDI QIDQ1855903
Publication date: 28 January 2003
Published in: Applied Mathematics and Computation (Search for Journal in Brave)
numerical exampleleast squares methodarithmetic complexityinconsistent linear equationsminimum norm solution, parallel computing
Numerical solutions to overdetermined systems, pseudoinverses (65F20) Parallel numerical computation (65Y05)
Related Items (10)
Towards positive definite solutions of a class of nonlinear matrix equations ⋮ Some topics on weighted Moore-Penrose inverse, weighted least squares and weighted regularized Tikhonov problems ⋮ Condition numbers with their condition numbers for the weighted Moore-Penrose inverse and the weighted least squares solution ⋮ Interval iterative methods for computing Moore-Penrose inverse ⋮ Condition numbers and perturbation of the weighted Moore--Penrose inverse and weighted linear least squares problem. ⋮ PCR algorithm for parallel computing the solution of the general restricted linear equations ⋮ An improved Newton iteration for the weighted Moore-Penrose inverse ⋮ The condition numbers for weighted Moore-Penrose inverse and weighted linear least squares problem ⋮ Displacement structure of weighted pseudoinverses ⋮ Properties of subgradient projection iteration when applying to linear imaging system
Cites Work
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- Successive matrix squaring algorithm for parallel computing the weighted generalized inverse \(A^+_{MN}\)
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