Growth in Gaussian elimination, orthogonal matrices, and the 2-norm

SIAM Journal on Matrix Analysis and Applications

Volumn 19, Issue 3, 1998, Pages 807-815

  Barlow, Jesse L ^a   Zha, Hongyuan ^a  

^a The Pennsylvania State University   (United States)

Author keywords

LU factorization; Orthogonal invariance; Triangular matrix

Indexed keywords

EID: 0032377696     PISSN: 08954798     EISSN: None     Source Type: Journal    
DOI: 10.1137/S0895479896309912     Document Type: Article

References (8)

1. J. BARLOW, More Accurate Bidiagonal Reduction for Computing the Singular Value Decomposition, manuscript, 1997.
2. D. FADDEEV, V. KUBLANOVSKAYA, AND V. FADDEEVA, Solution of linear algebraic systems with rectangular matrices, Proc. Steklov Inst. Math., 96 (1968), pp. 93-111.
3. N. HIGHAM, Accuracy and Stability of Numerical Algorithms, SIAM, Philadelphia, PA, 1996.
4. C. LAWSON AND R. HANSON, Solving Least Squares Problems, Prentice-Hall, Englewood Cliffs, NJ, 1974.
5. B. PARLETT, The Symmetric Eigenvalue Problem, Prentice-Hall, Englewood Cliffs, NJ, 1980.
6. G. STEWART, Introduction to Matrix Computations, Academic Press, New York, 1973.
7. J. WILKINSON, Error analysis of direct methods of matrix inversion, J. Assoc. Comput. Mach., 8 (1961), pp. 281-330.
8. J. WILKINSON, The Algebraic Eigenvalue Problem, Oxford University Press, London, 1965.