W. Kahan

W. Kahan typically refers to William (Bill) M. Kahan, a Canadian mathematician and computer scientist renowned for his work on floating-point arithmetic. Born in 1933, he has been a professor at the University of California, Berkeley, and is often called the “father of floating-point” due to his critical role in designing the IEEE 754 standard. Kahan received the 1989 Turing Award for his fundamental contributions to numerical analysis.

All published works

Action	Title	Year	Authors
+	Deflations Preserving Relative Accuracy	2012	W. Kahan
+ PDF Chat	A family of Anadromic numerical methods for matrix Riccati differential equations	2011	Ren‐Cang Li W. Kahan
+	Is there a small skew Cayley transform with zero diagonal?	2006	W. Kahan
+	Pinchings and Norms of Scaled Triangular Matrices	2002	Rajendra Bhatia W. Kahan Ren‐Cang Li
+ PDF Chat	Symbolic computation of divided differences	1999	W. Kahan Richard J. Fateman
+	Unconventional Schemes for a Class of Ordinary Differential Equations—With Applications to the Korteweg–de Vries Equation	1997	W. Kahan Ren‐Cang Li
+ PDF Chat	Composition constants for raising the orders of unconventional schemes for ordinary differential equations	1997	W. Kahan Ren‐Cang Li
+ PDF Chat	Accurate Singular Values of Bidiagonal Matrices	1990	James Demmel W. Kahan
+	Computing small singular values of bidiagonal matrices with guaranteed high relative accuracy: LAPACK working note number 3	1988	J. Demmel W. Kahan
+	To Solve a Real Cubic Equation	1986	W. Kahan
+	On the Monotonicity of Some Computed Functions	1985	W. Kahan
+	Problem #9	1975	W. Kahan
+ PDF Chat	Spectra of nearly Hermitian matrices	1975	W. Kahan
+ PDF Chat	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	W. Kahan
+	Every n × n Matrix Z with Real Spectrum Satisfies \|\| Z - Z ∗ \|\| ≦ \|\| Z + Z ∗ \|\| (log 2 n + 0.038)	1973	W. Kahan
+	George Forsythe memorial lecture (Panel Session)	1972	Donald G. Anderson W. Kahan
+	The Rotation of Eigenvectors by a Perturbation. III	1970	Chandler Davis W. Kahan
+ PDF Chat	Some new bounds on perturbation of subspaces	1969	Chandler Davis W. Kahan
+ PDF Chat	Circumscribing an Ellipsoid about the Intersection of Two Ellipsoids	1968	W. Kahan
+	Laguere’s Method and a Circle which Contains at Least One Zero of a Polynomial	1967	W. Kahan
+ PDF Chat	Numerical Linear Algebra	1966	W. Kahan
+	Two working algorithms for the eigenvalues of a symmetric tridiagonal matrix	1966	W. Kahan J. M. Varah
+	Relaxation methods for semi-definite systems	1966	W. Kahan
+	Relaxation methods for an eigenproblem	1966	W. Kahan
+	Accurate eigenvalues of a symmetric tri-diagonal matrix	1966	W. Kahan
+	Algorithm 168: Newton interpolation with backward divided differences	1963	W. Kahan I. Farkas
+	Algorithm 169: Newton interpolation with forward divided differences	1963	W. Kahan I. Farkas

Common Coauthors

Coauthor	Papers Together
Ren‐Cang Li	4
Chandler Davis	2
I. Farkas	2
Donald G. Anderson	1
J. Demmel	1
J. M. Varah	1
Rajendra Bhatia	1
Richard J. Fateman	1
James Demmel	1

Commonly Cited References

Action	Title	Year	Authors	# of times referenced
+ PDF Chat	On the Numerical Integration of Ordinary Differential Equations by Symmetric Composition Methods	1995	Robert I. McLachlan	3
+	Construction of higher order symplectic integrators	1990	Haruo Yoshida	3
+	Solving Ordinary Differential Equations II	1996	Ernst Hairer Gerhard Wanner	3
+	General theory of higher-order decomposition of exponential operators and symplectic integrators	1992	Masuo Suzuki	3
+ PDF Chat	An inequality for linear transformations with eigenvalues	1961	Charles A. Swanson	2
+ PDF Chat	Composition constants for raising the orders of unconventional schemes for ordinary differential equations	1997	W. Kahan Ren‐Cang Li	2
+	Order Conditions for Canonical Runge–Kutta Schemes	1991	J. M. Sanz‐Serna L.M. Abia	2
+	The rotation of eigenvectors by a perturbation	1963	Chandler Davis	2
+ PDF Chat	Solving Ordinary Differential Equations I	1993	Ernst Hairer Gerhard Wanner Syvert P. Nørsett	2
+	Solving Ordinary Differential Equations II	1991	Ernst Hairer Gerhard Wanner	2
+	Comparing a Matrix to its Off-Diagonal Part	1989	Rajendra Bhatia Man-Duen Choi Chandler Davis	1
+	Numerical Analysis of Spectral Methods	1977	David Gottlieb Steven A. Orszag	1
+	Monotoneity Properties of Solutions of Hermitian Riccati Matrix Differential Equations	1970	William T. Reid	1
+ PDF Chat	On the comparability of 𝐴^{1/2} and 𝐴^{∗1/2}	1972	Alan McIntosh	1
+	Stiff and differential-algebraic problems	1991	Ernst Hairer Gerhard Wanner	1
+	Introduction to Hilbert Space: And the Theory of Spectral Multiplicity	1998	Paul R. Halmos	1
+	Functional analysis in normed spaces	1952	L. V. Kantorovich G.P. AKILOV D. E. Brown A. P. Robertson	1
+	Algebraic Riccati Equations	2006	Peter Lancaster Leiba Rodman	1
+	Every n × n Matrix Z with Real Spectrum Satisfies \|\| Z - Z ∗ \|\| ≦ \|\| Z + Z ∗ \|\| (log 2 n + 0.038)	1973	W. Kahan	1
+	On the operator equation BX−XA=Q	1956	Marvin Rosenblum	1
+	Numerical integration of the differential matrix Riccati equation	1985	Charles Kenney Roy B. Leipnik	1
+	Preserving monotonicity in the numerical solution of Riccati differential equations	1996	Luca Dieci Timo Eirola	1
+ PDF Chat	Counterexample to a question on commutators	1971	Alan McIntosh	1
+	The Exponential Accuracy of Fourier and Chebyshev Differencing Methods	1986	Eitan Tadmor	1
+ PDF Chat	Spectral Methods for Time Dependent Partial Differential Equations	1986	David Gottlieb	1
+	On the Stationary Values of a Second-Degree Polynomial on the Unit Sphere	1965	George E. Forsythe Gene H. Golub	1
+	Positive definiteness in the numerical solution of Riccati differential equations	1994	Luca Dieci Timo Eirola	1
+ PDF Chat	Linear operator equations	1959	G. Lumer Marvin Rosenblum	1
+	Geometric Numerical Integration: Structure-Preserving Algorithms for Ordinary Differential Equations	2009	Ernst Hairer Christian Lubich Gerhard Wanner	1
+	Error and Perturbation Bounds for Subspaces Associated with Certain Eigenvalue Problems	1973	G. W. Stewart	1
+ PDF Chat	The Solution of Elliptic Difference Equations by Semi-Explicit Iterative Techniques	1965	James E. Gunn	1
+	A Riccati Transformation Method for Solving Linear BVP<scp>s</scp>. II: Computational Aspects	1988	Luca Dieci M. R. Osborne Robert D. Russell	1
+	Running air pollution models on the connection machine	1994	Zahari Zlatev Jerzy Waśniewski	1
+	Numerical Solution of Boundary Value Problems for Ordinary Differential Equations	1995	Uri M. Ascher Robert M. M. Mattheij Robert D. Russell	1
+ PDF Chat	A High-Order Method for Stiff Boundary Value Problems with Turning Points	1987	David L. Brown Jens Lorenz	1
+	The Numerical Solution of Two-Point Boundary Problems in Ordinary Differential Equations.	1959	Peter Henrici L. Fox	1
+ PDF Chat	Fourth-order symplectic integration	1990	É. Forest Ronald D. Ruth	1
+ PDF Chat	A Can0nical Integrati0n Technique	1983	Ronald D. Ruth	1
+	An efficient and reliable algorithm for computing the singular subspace of a matrix, associated with its smallest singular values	1987	Sabine Van Huffel Joos Vandewalle Ann Haegemans	1
+	Superposition laws for solutions of differential matrix Riccati equations arising in control theory	1985	Michel Sorine P. Winternitz	1
+ PDF Chat	Numerical integrators based on modified differential equations	2007	Philippe Chartier Ernst Hairer Gilles Vilmart	1
+ PDF Chat	Riccati Differential Equations	1975	William T. Reid David Jordan	1
+	On Extrapolation Algorithms for Ordinary Initial Value Problems	1965	William B. Gragg	1
+	Unconventional Schemes for a Class of Ordinary Differential Equations—With Applications to the Korteweg–de Vries Equation	1997	W. Kahan Ren‐Cang Li	1
+	Petrov-Galerkin methods for nonlinear dispersive waves	1981	J. M. Sanz‐Serna I. Christie	1
+	General Nonsymmetric Higher-Order Decomposition of Exponential Operators and Symplectic Integrators	1992	Masuo Suzuki	1
+	ON THE LATENT VECTORS AND CHARACTERISTIC VALUES OF PRODUCTS OF PAIRS OF SYMMETRIC IDEMPOTENTS	1956	S. N. Afriat	1
+ PDF Chat	Maximization of a second-degree polynomial on the unit sphere	1966	James W. Burrows	1
+	A comparison of fourier pseudospectral methods for the solution of the Korteweg-de Vries equation	1989	F. Z. Nouri D. M. Sloan	1
+	The Rotation of Eigenvectors by a Perturbation. III	1970	Chandler Davis W. Kahan	1