A Unified Theoryof Conditioning for Linear Least Squares and Tikhonov Regularization Solutions
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Publication:4443797
DOI10.1137/S0895479801389564zbMath1036.65044MaRDI QIDQ4443797
Publication date: 18 January 2004
Published in: SIAM Journal on Matrix Analysis and Applications (Search for Journal in Brave)
Numerical solutions to overdetermined systems, pseudoinverses (65F20) Ill-posedness and regularization problems in numerical linear algebra (65F22) Numerical computation of matrix norms, conditioning, scaling (65F35) Conditioning of matrices (15A12)
Related Items (14)
Backward error and condition number analysis for the indefinite linear least squares problem ⋮ A contribution to perturbation analysis for total least squares problems ⋮ Condition numbers and perturbation analysis for the Tikhonov regularization of discrete ill-posed problems ⋮ Ill-conditioning of the truncated singular value decomposition, Tikhonov regularization and their applications to numerical partial differential equations ⋮ Condition numbers of the least squares problems with multiple right-hand sides ⋮ Gram-Schmidt orthogonalization: 100 years and more ⋮ On the condition number of the total least squares problem ⋮ Perturbation analysis for total least squares problems with linear equality constraint ⋮ On condition numbers for least squares with quadric inequality constraint ⋮ Condition numbers for a linear function of the solution of the linear least squares problem with equality constraints ⋮ The condition numbers for weighted Moore-Penrose inverse and weighted linear least squares problem ⋮ Structured condition numbers of structured Tikhonov regularization problem and their estimations ⋮ Accurate conjugate gradient methods for families of shifted systems ⋮ On mixed and componentwise condition numbers for Moore–Penrose inverse and linear least squares problems
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