Publications

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Stewart G.W.  1995.  Theory of the Combination of Observations Least Subject to Errors. SIAM, Philadelphia.[Translation of Gauss (1821, 1823, 1826).].
Stewart M, Stewart G.W.  1998.  On hyperbolic triangularization: Stability and pivoting. SIAM journal on matrix analysis and applications. 19(4):847-860.
Stewart G.W.  2001.  Adjusting the Rayleigh Quotient in Semiorthogonal Lanczos Methods. UMIACS-TR-2001-31
Stewart G.W.  1998.  On the Perturbation of LU, Cholesky, and QR Factorizations. UMIACS-TR-92-24
Stewart G.W.  2004.  Error Analysis of the Quasi-Gram--Schmidt Algorithm. UMIACS-TR-2004-17
Stewart G.W.  2000.  The decompositional approach to matrix computation. Computing in Science Engineering. 2(1):50-59.
Stewart G.W.  1998.  Matrix Algorithms: Basic decompositions.
Stewart G.W.  2003.  A Fortran 95 Matrix Wrapper. UMIACS-TR-2003-89
Stewart G.W.  1998.  On Sublinear Convergence. UMIACS-TR-95-92
Stewart G.W.  2009.  An Unreliable Convergence Criterion for Arnoldi’s Method.
Stewart G.W.  1995.  On the solution of block Hessenberg systems. Numerical Linear Algebra with Applications. 2(3):287-296.
Stewart G.W.  1995.  Gauss, Statistics, and Gaussian Elimination. Journal of Computational and Graphical Statistics. 4(1):1-11.
Stewart G.W.  1998.  The Triangular Matrices of Gaussian Elimination and Related Decompositions. UMIACS-TR-95-91
Stewart G.W.  1995.  On graded QR decompositions of products of matrices. Electronic Transactions on Numerical Analysis. 3:39-49.
Stewart G.W.  2002.  Addendum to "A Krylov--Schur Algorithm for Large Eigenproblems". UMIACS-TR-2001-90
Stewart G.W.  1997.  On the Perturbation of LU and Cholesky Factors. IMA Journal of Numerical AnalysisIMA J Numer Anal. 17(1):1-6.
Stewart G.W.  2003.  Building an Old-Fashioned Sparse Solver. UMIACS-TR-2003-95
Stewart G.W.  1998.  QR Sometimes Beats Jacobi. UMIACS-TR-95-32
Stewart G.W, Author, Mahajan A, Reviewer.  2003.  Matrix Algorithms, Volume II: Eigensystems. Applied Mechanics Reviews. 56(1):B2-B2-B2-B2.
Stewart G.W.  1999.  On Orthogonalization in the Inverse Power Method. UMIACS-TR-99-64
Stewart G.W.  1995.  An Iterative Method for Solving Linear Inequalities. CS-TR-1833
Stewart G.W.  2009.  On the Semidefinite B-Arnoldi Method. SIAM Journal on Matrix Analysis and Applications. 31(3):1458-1468.
Stewart G.W.  1999.  Four algorithms for the efficient computation of truncated pivoted QR approximations to a sparse matrix. Numerische Mathematik. 83(2):313-323.
Stewart G.W.  1997.  The Triangular Matrices of Gaussian Elimination and Related Decompositions. IMA Journal of Numerical Analysis. 17(1):7-16.
Stewart G.W.  1998.  On an Inexpensive Triangular Approximation to the Singular Value Decomposition. UMIACS-TR-97-75

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