W. Gragg

发表

Reorthogonalization and stable algorithms for updating the Gram-Schmidt QR factorization

G. Stewart, J. Daniel, L. Kaufman, 1976 .

Singular value decompositions of complex symmetric matrices

W. Gragg, A. Bunse-Gerstner, 1988 .

A Stable Variant of the Secant Method for Solving Nonlinear Equations

G. Stewart, W. Gragg, William B. Gragg, 1976 .

Optimal Error Bounds for the Newton–Kantorovich Theorem

R. Tapia, W. Gragg, 1974 .

Superfast solution of real positive definite toeplitz systems

W. Gragg, G. Ammar, 1988 .

FORTRAN subroutines for updating the QR decomposition

William B. Gragg, Lother Reichel, W. Gragg, 1988 .

On the partial realization problem

W. Gragg, A. Lindquist, 1983 .

Matrix interpretations and applications of the continued fraction algorithm

W. Gragg, 1974 .

The numerically stable reconstruction of Jacobi matrices from spectral data

W. Gragg, W. Harrod, 1984 .

On computing accurate singular values and eigenvalues of matrices with acyclic graphs

W. Gragg, J. Demmel, 1992 .

Positive definite Toeplitz matrices, the Arnoldi process for isometric operators, and Gaussian quadrature on the unit circle

W. Gragg, 1993 .

A divide and conquer method for unitary and orthogonal eigenproblems

L. Reichel, W. Gragg, 1990 .

On computing accurate singular values and eigenvalues of acyclic matrices

W. Gragg, J. Demmel, 1992 .

The generalized Schur algorithm for the superfast solution of Toeplitz systems

W. Gragg, G. Ammar, 1987 .

Numerical experience with a superfast real Toeplitz solver

W. Gragg, G. Ammar, 1989 .

Stable look-ahead versions of the Euclidean and Chebyshev algorithms

Martin H. Gutknecht, William B. Gragg, W. Gragg, 1994 .

The Padé Table and Its Relation to Certain Algorithms of Numerical Analysis

W. Gragg, W. B. Gragg, 1972 .

Discrete least squares approximation by trigonometric polynomials

Lothar Reichel, William B. Gragg, Gregory S. Ammar, 1991 .

On least squares exponential sum approximation with positive coefficients

Randall J. LeVeque, William B. Gragg, W. Gragg, 1980 .

On Extrapolation Algorithms for Ordinary Initial Value Problems

William B. Gragg, W. Gragg, 1965 .

On the eigenproblem for orthogonal matrices

L. Reichel, W. Gragg, G. Ammar, 1986, 1986 25th IEEE Conference on Decision and Control.

The QR algorithm for unitary Hessenberg matrices

William B. Gragg, W. Gragg, 1986 .

Polynomial zeronders based on Szeg}o polynomials

D. Calvetti, L. Reichel, W. Gragg, 2001 .

Schur Flows for Orthogonal Hessenberg Matrices

William B. Gragg, Gregory S. Ammar, W. Gragg, 1993 .

Direct and Inverse Unitary Eigenproblems in Signal Processing: An Overview

Lothar Reichel, William B. Gragg, Gregory S. Ammar, 1993 .

Downdating of Szego Polynomials and Data Fitting Applications

William B. Gragg, L. Reichel, Gregory S. Ammar, 1992 .

Notes on TQR algorithms

W. Gragg, K. Gates, 1997 .

Numerical experience with a superfast real Toeplitz solver

W. Gragg, G. Ammar, 1989 .

LAURENT, FOURIER, AND CHEBYSHEV-PADÉ TABLES

William B. Gragg, W. Gragg, 1977 .

Convergence of the qr algorithm with origin shifts for real symmetric tridiagonal and unitary hessenberg matrices

William B. Gragg, W. Gragg, Tai-Lin Wang, 1988 .

A Divide and Conquer Method for the Unitary Eigenproblem and Applications

L. Reichel, W. Gragg, G. Ammar, 1991 .

A Divide and Conquer Method for Unitary

L. Reichel, W. Gragg, 2022 .

On fast computation of superdiagonal Padé fractions

F. Gustavson, W. Gragg, D. Yun, 1982 .

Generalized Multistep Predictor-Corrector Methods

Hans J. Stetter, William B. Gragg, W. Gragg, 1964, JACM.

Algorithm 686: FORTRAN subroutines for updating the QR decomposition

Lothar Reichel, William B. Gragg, L. Reichel, 1990, TOMS.

Computation of Gauss-Kronrod quadrature rules

Gene H. Golub, Lothar Reichel, Daniela Calvetti, 2000, Math. Comput..

On the application of orthogonal polynomials to the iterative solution of linear systems of equations with indefinite or non-Hermitian matrices

William B. Gragg, W. Gragg, L. Reichel, 1987 .

On a theorem of Koenig

A. Householder, W. Gragg, 1966 .

On Singular Values of Hankel Operators of Finite Rank

W. Gragg, L. Reichel, 1989 .

Repeated extrapolation to the limit in the numerical solution of ordinary differential equations

W. Gragg, William Bryant Gragg, 1964 .

An analogue for Szego polynomials of the Clenshaw algorithm

L. Reichel, W. Gragg, G. Ammar, 1993 .

Fortran Subroutines for the Evaluation of the Confluent Hypergeometric Functions

Beny Neta, William Gragg, W. Gragg, 1989 .

Divide and Conquer for Generalized Real Symmetric Definite Tridiagonal Eigenproblems

Carlos F. Borges, William B. Gragg, W. Gragg, 2005 .

A Parallel Divide and Conquer Algorithm for the Generalized Real Symmetric Definite Tridiagonal Eigenproblem

Carlos F. Borges, William B. Gragg, W. Gragg, 1993 .

Some inverse eigenproblems for Jacobi and arrow matrices

Ruggero Frezza, Carlos F. Borges, William B. Gragg, 1995, Numer. Linear Algebra Appl..

Parallel Divide and Conquer Algorithms for the Symmetric Tridiagonal Eigenproblem and Bidiagonal Singular Value Problem

Carlos F. Borges, William B. Gragg, W. Gragg, 1993 .

Truncation error bounds for g-fractions

William B. Gragg, W. Gragg, 1968 .

SOLUTION OF ORDINARY DIFFERENTIAL INITIAL VALUE PROBLEMS ON AN INTEL HYPERCUBE

Beny Neta, W. Gragg, B. Neta, 1992 .

Convergence of the shifted QR algorithm for unitary Hessenberg matrices

Tai-Lin Wang, William B. Gragg, W. Gragg, 2002, Math. Comput..

Constructing a Unitary Hessenberg Matrix from Spectral Data

William B. Gragg, L. Reichel, Gregory S. Ammar, 1991 .

Two Constructive Results in Continued Fractions

William B. Gragg, W. Gragg, Daniel D. Warner, 1983 .

Numerically Stable Methods for Updating Regressions

Randall J. LeVeque, J. A. Trangenstein, W. Gragg, 1979 .