

Bibliography
for Iterative Refinement
short
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Modified Iterative Refinement Scheme
Achiya Dax
SIAM Journal on Scientific Computing, Volume 25, Number 4, 2003,
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- Iterative refinement of solution with biparameter for solving
ill-conditioned systems of linear algebraic equations
Wu X.-y.; Shao R.; Xue G.-h.
Applied Mathematics and Computation, 25 September 2002, vol. 131,
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- Refined subspace iteration algorithm for large sparse
eigenproblems
Jia, Zhongxiao
Applied Numerical Mathematics, v 32, n 1, Jan, 2000, p 35-52,
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Al-Towaiq, M. H.
J. Discrete Math. Sci. Cryptography 2 (1999), no. 1, 73--76,
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Yuan, Jin Yun
Linear Algebra and Its Applications, v 273, n 1-3, Apr 1, 1998, p
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- A refined iterative algorithm based on the block Arnoldi
process for large unsymmetric eigenproblems
Jia, Zhongxiao
Linear Algebra and Its Applications, v 270, n 1-3, February, 1998,
p 171-189, Compendex.
- Modified iterative refinement algorithm for efficient solution
of parameter-dependent sets of linear equations
Simon, Peter S.; Kenney, Charles S.; McInturff, Kim; Jobsky,
Robert W.; Bryan, Thomas A.
IEEE Antennas and Propagation Society, AP-S International
Symposium (Digest), v 3, 1998, p 1510-1513, Compendex.
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LAPACK PDF
Higham, Nicholas J.
IMA J. Numer. Anal. 17 (1997), no. 4, 495--509,
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polynomial roots.
Petkovic, M.S.; Kjurkchiev, N.
Journal of computational and applied mathematics, 1997, vol. 80,
no. 1, pp. 163, Ingenta.
- Iterative refinement of the singular-value decomposition
solution to the regression equations
Henshall J.M.; Smith D.M.
Computational Statistics and Data Analysis, 23 October 1996, vol.
22, no. 6, pp. 573-582(10), Ingenta.
- Iterative refinement of the singular-value decomposition
solution to the regression equations
Henshall, J.M.; Smith, D.M.
Computational Statistics & Data Analysis, v 22, n 6, Oct 23,
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Methods
Jose Mario Martinez
SIAM Journal on Numerical Analysis, Vol. 31, No. 1. (Feb., 1994),
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- The
Sigma-Sor Algorithm and the Optimal Strategy for the Utilization
of the Sor Iterative Method
Zbigniew I. Woznicki
Mathematics of Computation, Vol. 62, No. 206. (Apr., 1994), pp.
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- Iterative refinement for constrained and weighted linear least
squares.
Gulliksson, M.
BIT 34 (1994), no. 2, 239--253, MathSciNet.
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preconditioners.
Petrova, S. I.
Computing 52 (1994), no. 1, 51--63, MathSciNet.
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Malyshev, Alexander N.
East-West J. Numer. Math. 1 (1993), no. 1, 27--50,
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Bjørstad, Petter E.; Moe, Randi; Skogen, Morten
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Kirilyuk, O. P.
Trudy Inst. Mat. (Novosibirsk) 17 (1990), Vychisl. Metody Linein.
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O. B. Wildlund
Society for Industrial and Applied Mathematics, Philadelphia,
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Widlund, Olof B.
Domain decomposition methods (Los Angeles, CA, 1988), 114--125,
SIAM, Philadelphia, PA, 1989, MathSciNet.
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of Iterative Refinement in the Solution of Sparse Linear
Systems
Zahari Zlatev
SIAM Journal on Numerical Analysis, Vol. 19, No. 2. (Apr., 1982),
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Mönch, W.
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Kielbasi'nski, Andrzej
BIT 21 (1981), no. 1, 97--103, MathSciNet.
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an Accelerated Overrelaxation Iterative Method for Linear Systems
With Strictly Diagonally Dominant
Matrix
M. Madalena Martins
Mathematics of Computation > Vol. 35, No. 152 (Oct., 1980), pp.
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- Iterative
Refinement Implies Numerical Stability for Gaussian
Elimination
Robert D. Skeel
Mathematics of Computation, Vol. 35, No. 151. (Jul., 1980), pp.
817-832, Jstor.
- Implementation Of An Iterative Refinement Option In A Code For
Large And Sparse Systems
Zlatev, Zahari; Schaumburg, Kjeld; Wasniewski, Jerzy
Computers & Chemistry, v 4, n 2, 1980, p 87-99,
Compendex.
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Gram-Schmidt With Iterative Refinement
Wampler, Roy H.
ACM Transactions on Mathematical Software, v 5, n 4, Dec, 1979, p
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on the Iterative Refinement of Least-Squares
Solutions
Ake Bjorck
Journal of the American Statistical Association > Vol. 73, No.
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- An
Iterative Solution Method for Linear Systems of Which the
Coefficient Matrix is a Symmetric
M-Matrix
J. A. Meijerink; H. A. van der Vorst
Mathematics of Computation > Vol. 31, No. 137 (Jan., 1977), pp.
148-162, Jstor.
- Convergent
Powers of a Matrix with Applications to Iterative Methods for
Singular Linear Systems
Carl D. Meyer, Jr.; R. J. Plemmons
SIAM Journal on Numerical Analysis > Vol. 14, No. 4 (Sep.,
1977), pp. 699-705, Jstor.
- Iterative refinement implies numerical stability.
Jankowski, M.; Wozniakowski, H.
Nordisk Tidskr. Informationsbehandling (BIT) 17 (1977), no. 3,
303--311, MathSciNet.
- Existence
Criteria for Partial Matrix Factorizations in Iterative
Methods
Robert Beauwens; Lena Quenon
SIAM Journal on Numerical Analysis > Vol. 13, No. 4 (Sep.,
1976), pp. 615-643, Jstor.
- On
the Iterative Refinement of Least Squares
Solutions
R. H. Fletcher
Journal of the American Statistical Association > Vol. 70, No.
349 (Mar., 1975), pp. 109-112, Jstor
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Systems
Tsao, Nai-Kuan
Journal of the Franklin Institute, v 299, n 6, Jun, 1975, p
409-416, Compendex.
- A
Generalization of the Additive Correction Methods for the
Iterative Solution of Matrix Equations
A. Settari; K. Aziz
SIAM Journal on Numerical Analysis > Vol. 10, No. 3 (Jun.,
1973), pp. 506-521,
Jstor.
- Monotone
Convergence of the Sor-Newton Iterative
Technique
Charles W. Schelin
SIAM Journal on Numerical Analysis, Vol. 10, No. 5. (Oct., 1973),
pp. 933-938, Jstor.
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Refinement in Floating Point
Cleve B. Moler
Source Journal of the ACM, Volume 14
, Issue 2 (April 1967), Pages: 316 -
321.
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Methods for Solving Matrix Equations
R. S. Varga
American Mathematical Monthly, Vol. 72, No. 2, Part 2: Computers
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Iterative Method for Computing the Generalized Inverse of an
Arbitrary Matrix
Adi Ben-Israel
Mathematics of Computation > Vol. 19, No. 91 (Jul., 1965), pp.
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Over and Under Relaxation in the Theory of the Cyclic Single Step
Iteration
A. Ostrowski
Mathematical Tables and Other Aids to Computation, Vol. 7, No. 43.
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(c) John
H. Mathews 2005