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William B Gragg
William B Gragg
Professor of Applied Mathematics, Naval Postgraduate School
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Reorthogonalization and stable algorithms for updating the Gram-Schmidt 𝑄𝑅 factorization
JW Daniel, WB Gragg, L Kaufman, GW Stewart
Mathematics of Computation 30 (136), 772-795, 1976
7171976
Superfast solution of real positive definite Toeplitz systems
GS Ammar, WB Gragg
SIAM Journal on Matrix Analysis and Applications 9 (1), 61-76, 1988
3921988
On extrapolation algorithms for ordinary initial value problems
WB Gragg
Journal of the Society for Industrial and Applied Mathematics, Series B …, 1965
3911965
On the partial realization problem
WB Gragg, A Lindquist
Linear Algebra and its Applications 50, 277-319, 1983
3771983
The Padé table and its relation to certain algorithms of numerical analysis
WB Gragg
SIAM review 14 (1), 1-62, 1972
3471972
Generalized multistep predictor-corrector methods
WB Gragg, HJ Stetter
Journal of the ACM (JACM) 11 (2), 188-209, 1964
2631964
Optimal error bounds for the Newton–Kantorovich theorem
WB Gragg, RA Tapia
SIAM Journal on Numerical Analysis 11 (1), 10-13, 1974
2481974
Positive definite Toeplitz matrices, the Arnoldi process for isometric operators, and Gaussian quadrature on the unit circle
WB Gragg
Journal of Computational and Applied Mathematics 46 (1-2), 183-198, 1993
1911993
The numerically stable reconstruction of Jacobi matrices from spectral data
WB Gragg, WJ Harrod
Numerische Mathematik 44 (3), 317-335, 1984
1911984
Computation of Gauss-Kronrod quadrature rules
D Calvetti, G Golub, W Gragg, L Reichel
Mathematics of computation 69 (231), 1035-1052, 2000
1762000
Matrix interpretations and applications of the continued fraction algorithm
WB Gragg
The Rocky Mountain Journal of Mathematics 4 (2), 213-225, 1974
1721974
The QR algorithm for unitary Hessenberg matrices
WB Gragg
Journal of Computational and Applied Mathematics 16 (1), 1-8, 1986
1631986
Repeated extrapolation to the limit in the numerical solution of ordinary differential equations
WB Gragg
UCLA- Mathematics, 1964
1541964
The generalized Schur algorithm for the superfast solution of Toeplitz systems
GS Ammar, WB Gragg
Rational Approximation and its Applications in Mathematics and Physics …, 1987
1121987
Discrete least squares approximation by trigonometric polynomials
L Reichel, GS Ammar, WB Gragg
Mathematics of Computation 57 (195), 273-289, 1991
1041991
Constructing a unitary Hessenberg matrix from spectral data
G Ammar, W Gragg, L Reichel
Numerical linear algebra, digital signal processing and parallel algorithms …, 1991
971991
Singular value decompositions of complex symmetric matrices
A Bunse-Gerstner, WB Gragg
Journal of Computational and Applied Mathematics 21 (1), 41-54, 1988
961988
A stable variant of the secant method for solving nonlinear equations
WB Gragg, GW Stewart
SIAM Journal on Numerical Analysis 13 (6), 889-903, 1976
941976
A divide and conquer method for unitary and orthogonal eigenproblems
WB Gragg, L Reichel
Numerische Mathematik 57 (1), 695-718, 1990
931990
On the eigenproblem for orthogonal matrices
GS Ammar, WB Gragg, L Reichel
1986 25th IEEE Conference on Decision and Control, 1963-1966, 1986
881986
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