William Kahan

发表

When are pivotal interchanges not necessary?

William Kahan, 1974, ACM '74.

IEEE 754 - Interview

William Kahan, 1998, Computer.

On the convergence of a practical QR algorithm

William Kahan, Beresford N. Parlett, W. Kahan, 1968, IFIP Congress.

IEEE Standard for Floating-Point Arithmetic

James Demmel, William Kahan, Guillaume Melquiond, 2008 .

LAPACK Working Note 39: On Designing Portable High Performance Numerical Libraries

Jack Dongarra, James Demmel, William Kahan, 1991 .

A family of Anadromic numerical methods for matrix Riccati differential equations

William Kahan, Ren-Cang Li, W. Kahan, 2012, Math. Comput..

An Open Question to Developers of Numerical Software

William Kahan, Dan Zuras, D. Zuras, 2005, Computer.

And Now for Something Completely Different: The Texas Instruments Sr-52.

William Kahan, 1977 .

Why do we need a oating-point arithmetic standard?

William Kahan, 1981 .

Lecture Notes on the Status of IEEE Standard 754 for Binary Floating-Point Arithmetic

William Kahan, W. Kahan, 1996 .

Pracniques: further remarks on reducing truncation errors

William Kahan, W. Kahan, 1965, CACM.

Improving service efficiency in manufacturing integrated circuits

William Kahan, Brian L. Farrell, Jay W. Reightler, 1992, AT&T Technical Journal.

Algorithm 167: calculation of confluent divided differences

William Kahan, I. Farkas, 1963, CACM.

Can You Count on Your Calculator.

William Kahan, Beresford N. Parlett, W. Kahan, 1977 .

Algorithm 168: Newton interpolation with backward divided differences

William Kahan, I. Farkas, W. Kahan, 1963, CACM.

Augmenting a Programming Language with Complex Arithmetic

William Kahan, J. W. Thomas, 1991 .

A fortran post-mortem procedure

William Kahan, J. J. Leppik, W. Kahan, 1964, CACM.

LAPACK Working Note 26: Prospectus for an Extension to LAPACK: A Portable Linear Algebra Library for High-Performance Computers

Jack Dongarra, James Demmel, William Kahan, 1990 .

The improbability of probabilistic error analyses for numerical computations

William Kahan, W. Kahan, 1996 .

A Survey of Error Analysis

William Kahan, W. Kahan, 1971, IFIP Congress.

Symbolic computation of divided differences

William Kahan, Richard J. Fateman, R. Fateman, 1999, SIGS.

Composition constants for raising the orders of unconventional schemes for ordinary differential equations

William Kahan, Ren-Cang Li, W. Kahan, 1997, Math. Comput..

Error bounds from extra-precise iterative refinement

James Demmel, William Kahan, Xiaoye S. Li, 2006, TOMS.

The baleful effect of computer benchmarks upon applied mathematics

William Kahan, W. Kahan, 1997 .

Accurate Singular Values of Bidiagonal Matrices

James Demmel, William Kahan, J. Demmel, 1990, SIAM J. Sci. Comput..

Problem #9: an ellipse problem

William Kahan, 1975, SIGS.

Analysis and refutation of the LCAS

William Kahan, W. Kahan, 1991, SIGP.

INTERVAL ARITHMETIC OPTIONS IN THE PROPOSED IEEE FLOATING POINT ARITHMETIC STANDARD

William Kahan, 1980 .

The Near Orthogonality of Syntax, Semantics, and Diagnostics in Numerical Programming Environments,

William Kahan, Jerome T Coonen, 1982 .

Design, implementation and testing of extended and mixed precision BLAS

James Demmel, William Kahan, Xiaoye S. Li, 2000, TOMS.

handheld device for attaching buttons

William Kahan, Walter H. W. Marsh, 1982 .

A Test for Correctly Rounded SQRT

William Kahan, W. Kahan, 2005 .

Prospectus for a Dense Linear Algebra Software Library

James Demmel, William Kahan, Julien Langou, 2007, Handbook of Parallel Computing.

HOW FAR SHOULD YOU GO WITH THE LANCZOS PROCESS

William Kahan, Beresford N. Parlett, W. Kahan, 1976 .

Prospectus for the Next LAPACK and ScaLAPACK Libraries

James Demmel, William Kahan, Julien Langou, 2006, PARA.

Anomalies in the IBM ACRITH package

William Kahan, E. LeBlanc, W. Kahan, 1985, 1985 IEEE 7th Symposium on Computer Arithmetic (ARITH).

Rational Arithmetic in Floating-Point.

William Kahan, 1986 .

Fall 2014 Research Training Schedule

William Kahan, Nigel Pugh, Tatyana Matthews, 2014 .

On computing givens rotations reliably and efficiently

James Demmel, William Kahan, David Bindel, 2002, TOMS.

Floating-Point Precision Tuning Using Blame Analysis

James Demmel, William Kahan, Koushik Sen, 2016, 2016 IEEE/ACM 38th International Conference on Software Engineering (ICSE).

Precimonious: Tuning assistant for floating-point precision

James Demmel, William Kahan, Koushik Sen, 2013, 2013 SC - International Conference for High Performance Computing, Networking, Storage and Analysis (SC).

A Proposed Radix- and Word-length-independent Standard for Floating-point Arithmetic

William Kahan, William J. Cody, Frederic N. Ris, 1984, IEEE Micro.

The Turing Computational Model

Richard Edwin Stearns, William Kahan, Juris Hartmanis, 2012, ACM-TURING '12.

Document for the Basic Linear Algebra Subprograms (BLAS) standard: BLAS Technical Forum

William Kahan, Xiaoye Sherry Li, Fred T. Krogh, 2001 .

Calculating the singular values and pseudo-inverse of a matrix

Gene H. Golub, William Kahan, W. Kahan, 2007, Milestones in Matrix Computation.

Is there a small skew Cayley transform with zero diagonal

William Kahan, W. Kahan, 2006 .

Unconventional Schemes for a Class of Ordinary Differential Equations-With Applications to the Korteweg-de Vries Equation

William Kahan, W. Kahan, Ren-Chang Li, 1997 .

Branch cuts for complex elementary functions

William Kahan, 1987 .

An Analysis of Lanczos Algorithms for Symmetric Matrices

William Kahan, Beresford N. Parlett, W. Kahan, 1974 .

Some new bounds on perturbation of subspaces

William Kahan, Chandler Davis, W. Kahan, 1969 .

Spectra of nearly Hermitian matrices

William Kahan, W. Kahan, 1975 .

Two working algorithms for the eigenvalues of a symmetric tridiagonal matrix

William Kahan, James M. Varah, 1966 .

Techniques for the automatic debugging of scientific floating-point programs

James Demmel, William Kahan, Koushik Sen, 2010 .

Miscalculating area and angles of a needle-like triangle

William Kahan, W. Kahan, 1986 .