1. A new approach to backward error analysis LU factorization  
   Peña, J. M. A note on a paper by P. Amodio and F. Mazzia  
   [BIT 39 (1999), no. 3, 385--402; MR 2000e:65034]. BIT 41 (2001), no. 3, 640--643, MathSciNet.  
2. A new approach to backward error analysis of LU factorization.  
   Amodio, P.; Mazzia, F.  
   BIT 39 (1999), no. 3, 385--402, MathSciNet.  
3. On the sensitivity of the LU factorization.  
   Chang, Xiao-Wen; Paige, Christopher C.  
   BIT 38 (1998), no. 3, 486--501, MathSciNet.  
4. Gaussian Elimination in Integer Arithmetic: An Application of the L-U Factorization   
   Thomas Hern     
   College Math Journal: Volume 24, Number 1, (1993), Pages: 67-70, 1993.  
5. On the perturbation of LU, Cholesky, and QR factorizations.  
   Stewart, G. W.  
   SIAM J. Matrix Anal. Appl. 14 (1993), no. 4, 1141--1145, MathSciNet.  
6. Recurrent neural networks for LU decomposition and Cholesky factorization.  
   Wang, J.; Wu, G.  
   Math. Comput. Modelling 18 (1993), no. 6, 1--8, MathSciNet.  
7. Construction of LU Factors of the Basis to Reduce Build-Up during Simplex Iterations  
   Bob Hattersley, Lynne Mackley  
   The Journal of the Operational Research Society, Vol. 43, No. 5, Mathematical Programming in Honour of Ailsa Land. (May, 1992), pp. 507-518, Jstor.  
8. Elementary Row Operations and LU Decomposition  
   David Kraines, Vivian Kraines, David Smith  
   College Math Journal: Volume 21, Number 5, (1990), Pages: 418-419.   
9. On the Stability of Relaxed Incomplete LU Factorizations  
   A. M. Bruaset, A. Tveito, R. Winther  
   Mathematics of Computation, Vol. 54, No. 190. (Apr., 1990), pp. 701-719, Jstor.  
10. A new modified Cholesky factorization.  
    Schnabel, Robert B.; Eskow, Elizabeth  
    SIAM J. Sci. Statist. Comput. 11 (1990), no. 6, 1136--1158, MathSciNet.  
11. Fast Gauss-Doolittle matrix triangulation.  
    Williams, F. W.; Kennedy, D.  
    Comput. & Structures 28 (1988), no. 2, 143--148, MathSciNet.  
12. Cholesky decomposition of the Hilbert matrix.   
    Hitotumatu, Sin  
    Japan J. Appl. Math. 5 (1988), no. 1, 135--144, MathSciNet.
13. LU-Factorization of Operators on l1  
    Kevin T. Andrews, Philip W. Smith, Joseph D. Ward  
    Proceedings of the American Mathematical Society, Vol. 98, No. 2. (Oct., 1986), pp. 247-252, Jstor.  
14. A Stability Analysis of Incomplete LU Factorizations  
    Howard C. Elman  
    Mathematics of Computation, Vol. 47, No. 175. (Jul., 1986), pp. 191-217, Jstor.  
15. On the Existence and Computation of LU-Factorizations with Small Pivots  
    Tony F. Chan  
    Mathematics of Computation, Vol. 42, No. 166. (Apr., 1984), pp. 535-547, Jstor.  
16. The stability of LU-decompositions of block tridiagonal matrices.  
    Mattheij, R. M. M.  
    Bull. Austral. Math. Soc. 29 (1984), no. 2, 177--205, MathSciNet.  
17. Refined Error Analyses of Cholesky Factorization  
    Jean Meinguet  
    SIAM Journal on Numerical Analysis, Vol. 20, No. 6. (Dec., 1983), pp. 1243-1250, Jstor.  
18. Elementary matrices and Crout reduction.  
    Rizvi, S. A. H.; Singh, V. N.  
    J. Indian Acad. Math. 5 (1983), no. 1, 9--11, MathSciNet.  
19. LU decompositions of generalized diagonally dominant matrices.  
    Funderlic, R. E.; Neumann, M.; Plemmons, R. J.  
    Numer. Math. 40 (1982), no. 1, 57--69, MathSciNet.  
20. Implicit Schemes and LU Decompositions  
    A. Jameson, E. Turkel  
    Mathematics of Computation, Vol. 37, No. 156. (Oct., 1981), pp. 385-397, Jstor.  
21. L decomposition of M-matrices by elimination without pivoting.  
    Funderlic, R. E.; Plemmons, R. J.  
    Linear Algebra Appl. 41 (1981), 99--110, MathSciNet.  
22. A Comment on Syminv: An Algorithm for the Inversion of a Positive Definite Matrix by the Cholesky Decomposition (in Computer Algorithm)  
    J. Stewart  
    Econometrica, Vol. 42, No. 4. (Jul., 1974), p. 771, Jstor.  
23. A Geometric Theory for the QR, LU and Power Iterations  
    B. N. Parlett, W. G. Poole, Jr.  
    SIAM Journal on Numerical Analysis, Vol. 10, No. 2. (Apr., 1973), pp. 389-412., Jstor.  
24. SYMINV: An Algorithm for the Inversion of a Positive Definite Matrix by the Cholesky Decomposition (in Computer Algorithms)  
    Terry Seaks  
    Econometrica, Vol. 40, No. 5. (Sep., 1972), pp. 961-962, Jstor.  
25. The Doolittle method and the fitting of polynomials to weighted data   
    P. G. Guest  
    Biometrika, Vol. 40, No. 1/2. (Jun., 1953), pp. 229-231, Jstor.  
26. Accuracy in the Doolittle solution  
    Dickson H. Leavens
    Econometrica, Vol. 15, No. 1. (Jan., 1947), pp. 45-50, Jstor.  
27. Note on the Doolittle solution  
    Nancy Bruner  
    Econometrica, Vol. 15, No. 1. (Jan., 1947), pp. 43-44, Jstor.  
28. Correlation concepts and the Doolittle method  
    Dudley J. Cowden
    Journal of the American Statistical Association, Vol. 38, No. 223. (Sep., 1943), pp. 327-334, Jstor.  
29. The Doolittle Technique  
    Paul S. Dwyer  
    Annals of Mathematical Statistics, Vol. 12, No. 4. (Dec., 1941), pp. 449-458, Jstor.  

(c) John H. Mathews 2003