Keywords
- Singular Value Decomposition
- Singular Vector
- Lower Triangular Matrix
- Matrix Factorization Method
- Column Pivoting
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References
A.K. Cline, C.B. Moler, G.W. Stewart, and J.H. Wilkinson, “An Estimate of the Condition Number of a Matrix,” SIAM J. Numer. Anal. 16(1979) 368–375.
J.J. Dongarra, C.B. Moler, J.R. Bunch, and G.W. Stewart, LINPACK User's Guide, SIAM, Philadelphia, 1979.
G.E. Forsythe and C.B. Moler, Computer Solution of Linear Algebraic Equations, Prentice-Hall, Englewood Cliffs, 1967.
C.B. Moler, “Iterative Refinement in Floating Point”, JACM, 14, 316–327.
I. Karasalo, “A Criterion for Truncation of the OR Decomposition Algorithm for Singular Linear Least Squares Problem,” BIT 14, 1974, 156–166.
D.P. O'Leary, “Estimating Matrix Condition Numbers,” SISSC, 1, 1980, 205–209.
B. Smith et al, EISPACK Guide, Springer Verlag, New York, 1974.
A.K. Cline, “A Set of Counter Examples to the LINPACK Condition Estimator”, Manuscript, Department of Computer Science, University of Texas, 1981.
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© 1982 Springer-Verlag
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Cline, A.K., Conn, A.R., Van Loan, C.F. (1982). Generalizing the LINPACK condition estimator. In: Hennart, J.P. (eds) Numerical Analysis. Lecture Notes in Mathematics, vol 909. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0092961
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DOI: https://doi.org/10.1007/BFb0092961
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