William Kahan

Q: What Schools Are Affiliated With William Kahan

William Kahan is affiliated with the following schools: University of California, Berkeley, University of Toronto

William Kahan's AcademicInfluence.com Rankings

William Kahan

Computer Science

#206

World Rank

#214

Historical Rank

Numerical Analysis

World Rank

Historical Rank

computer-science Degrees

William Kahan

Mathematics

#746

World Rank

#1352

Historical Rank

Measure Theory

#2470

World Rank

#2969

Historical Rank

mathematics Degrees

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Computer Science
Mathematics

Why Is William Kahan Influential?

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According to Wikipedia, William "Velvel" Morton Kahan is a Canadian mathematician and computer scientist, who received the Turing Award in 1989 for "his fundamental contributions to numerical analysis", was named an ACM Fellow in 1994, and inducted into the National Academy of Engineering in 2005.

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William Kahan's Published Works

Number of citations in a given year to any of this author's works

Total number of citations to an author for the works they published in a given year. This highlights publication of the most important work(s) by the author

Published Works

IEEE Standard for Floating-Point Arithmetic (2008) (1446)
Calculating the singular values and pseudo-inverse of a matrix (2007) (1362)
The Rotation of Eigenvectors by a Perturbation. III (1970) (1066)
Pracniques: further remarks on reducing truncation errors (1965) (451)
Accurate Singular Values of Bidiagonal Matrices (1990) (400)
Precimonious: Tuning assistant for floating-point precision (2013) (272)
Design, implementation and testing of extended and mixed precision BLAS (2000) (240)
NORM-PRESERVING DILATIONS AND THEIR APPLICATIONS TO OPTIMAL ERROR BOUNDS* (1982) (232)
Lecture Notes on the Status of IEEE Standard 754 for Binary Floating-Point Arithmetic (1996) (202)
Error bounds from extra-precise iterative refinement (2006) (135)
Numerical Linear Algebra (1966) (120)
Residual Bounds on Approximate Eigensystems of Nonnormal Matrices (1982) (113)
On computing givens rotations reliably and efficiently (2002) (106)
An American National Standard- IEEE Standard for Binary Floating-Point Arithmetic (1985) (102)
Composition constants for raising the orders of unconventional schemes for ordinary differential equations (1997) (90)
Accurate eigenvalues of a symmetric tri-diagonal matrix (1966) (89)
A Survey of Error Analysis (1971) (86)
Some new bounds on perturbation of subspaces (1969) (85)
A Proposed Radix- and Word-length-independent Standard for Floating-point Arithmetic (1984) (83)
Conserving Confluence Curbs Ill-Condition (1972) (69)
Floating-Point Precision Tuning Using Blame Analysis (2016) (63)
Spectra of nearly Hermitian matrices (1975) (55)
Circumscribing an Ellipsoid about the Intersection of Two Ellipsoids (1968) (54)
On a proposed floating-point standard (1979) (52)
The improbability of probabilistic error analyses for numerical computations (1996) (48)
Branch cuts for complex elementary functions (1987) (47)
Unconventional Schemes for a Class of Ordinary Differential Equations-With Applications to the Korteweg-de Vries Equation (1997) (40)
Miscalculating area and angles of a needle-like triangle (1986) (36)
HOW FAR SHOULD YOU GO WITH THE LANCZOS PROCESS (1976) (32)
On the convergence of a practical QR algorithm (1968) (31)
Prospectus for the Next LAPACK and ScaLAPACK Libraries (2006) (29)
Computing small singular values of bidiagonal matrices with guaranteed high relative accuracy: LAPACK working note number 3 (1988) (20)
Problem #9: an ellipse problem (1975) (19)
The baleful effect of computer benchmarks upon applied mathematics (1997) (19)
Why do we need a oating-point arithmetic standard? (1981) (18)
Document for the Basic Linear Algebra Subprograms (BLAS) standard: BLAS Technical Forum (2001) (16)
INTERVAL ARITHMETIC OPTIONS IN THE PROPOSED IEEE FLOATING POINT ARITHMETIC STANDARD (1980) (16)
A Test for Correctly Rounded SQRT (2005) (15)
Symbolic computation of divided differences (1999) (15)
Anomalies in the IBM ACRITH package (1985) (15)
Two working algorithms for the eigenvalues of a symmetric tridiagonal matrix (1966) (14)
Augmenting a Programming Language with Complex Arithmetic (1991) (12)
Is there a small skew Cayley transform with zero diagonal (2006) (11)
Laguere’s Method and a Circle which Contains at Least One Zero of a Polynomial (1967) (11)
Pinchings and Norms of Scaled Triangular Matrices (2002) (11)
LAPACK Working Note 39: On Designing Portable High Performance Numerical Libraries (1991) (11)
Relaxation methods for an eigenproblem (1966) (10)
Measurement of the lifetime and the electron-impact excitation cross section and polarization of the 2 $sup 3$P term of singly ionized lithium (1973) (10)
A family of Anadromic numerical methods for matrix Riccati differential equations (2012) (8)
Analysis and refutation of the LCAS (1991) (8)
An Analysis of Lanczos Algorithms for Symmetric Matrices (1974) (8)
Algorithm 167: calculation of confluent divided differences (1963) (7)
The Near Orthogonality of Syntax, Semantics, and Diagnostics in Numerical Programming Environments, (1982) (7)
WHEN TO NEGLECT OFF-DIAGONAL ELEMENTS OF SYMMETRIC MATRICES. (1966) (6)
Can You Count on Your Calculator. (1977) (5)
Analysis and refutation of the LCAS (1992) (5)
Every × matrix with real spectrum satisfies \Vert-*\Vert≤\Vert+*\Vert(log₂+0.038) (1973) (5)
Algorithm 168: Newton interpolation with backward divided differences (1963) (5)
LAPACK Working Note 26: Prospectus for an Extension to LAPACK: A Portable Linear Algebra Library for High-Performance Computers (1990) (5)
Every n × n Matrix Z with Real Spectrum Satisfies || Z - Z ∗ || ≦ || Z + Z ∗ || (log 2 n + 0.038) (1973) (4)
Implementation of Algorithms. Part 1 (1973) (4)
Algorithm 169: Newton interpolation with forward divided differences (1963) (4)
Detection of the Microwave ν27− Line of Molecular Oxygen Produced in the High Atmosphere (1962) (3)
Relaxation methods for semi-definite systems (1966) (3)
No Period Two Implies Convergence, or Why Use Tangents When Secants Will Do. (1979) (3)
An Open Question to Developers of Numerical Software (2005) (2)
Techniques for the automatic debugging of scientific floating-point programs (2010) (2)
Prospectus for a Dense Linear Algebra Software Library (2007) (2)
Four aphorisms concerning floating point hardware design (1968) (2)
How Blabber-Mouth U-Boats got Sunk in World War II (2003) (1)
The Error-Analyst's Quandary. (1972) (1)
A fortran post-mortem procedure (1964) (1)
Rational Arithmetic in Floating-Point. (1986) (1)
Birefringent laser mirrors. (1969) (1)
Optimization and comparison strategies for solar energy systems (1979) (1)
Ellipsoidal bounds for the propagation of uncertainty along trajectories. (1972) (1)
Ruhe's Theorem on Ill-Conditioned Eigenvalues. (1971) (1)
Every n x n Matrix Z with Real Spectrum Satisfies Norm (Z-Z*) = or < (Norm (Z+Z)) ((log of n to the base 2) + 0.038), (1972) (0)
AN ALGORITHM FOR FLOATING-POINT ACCUMULATION OF SUMS WITH SMALL RF (1998) (0)
And Now for Something Completely Different: The Texas Instruments Sr-52. (1977) (0)
Improving service efficiency in manufacturing integrated circuits (1992) (0)
How We Might Remove the Remaining Shortcomings of Std::complex (2004) (0)
Subject to Change . 1 ON THE MONOTONICITY OF SOME COMPUTED FUNCTIONS (0)
IEEE 754 - Interview (1998) (0)
Frequency and Antenna Temperature of Coronal N VII hfs Transitions. (1963) (0)
Scientific Computing Environments. (1987) (0)
Analytical selection of marketable SAHP systems. Final report, September 30, 1977-December 31, 1979 (1980) (0)
Every $n\times n$ matrix $Z$ with real spectrum satisfies $\Vert Z-Z\sp{\ast}\Vert \leq \Vert Z+Z\sp{\ast} \Vert(\log\sb{2}n+0.038)$ (1973) (0)
The Turing Computational Model (2012) (0)
Fall 2014 Research Training Schedule (2014) (0)
Advanced Problems: 6293-6295 (1980) (0)
Deflations Preserving Relative Accuracy (2012) (0)
George Forsythe memorial lecture (Panel Session) (1972) (0)
When are pivotal interchanges not necessary? (1974) (0)
handheld device for attaching buttons (1982) (0)

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What Schools Are Affiliated With William Kahan?

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William Kahan's Published Works

Published Works

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