W. Kahan

5.8k citations

55 papers · 3.6k indexed · 2 hit papers · h-index 22

Impact in

Computational Mathematics top 1%
Numerical Analysis top 1%
- Advanced Optimization Algorithms Research
- Numerical methods for differential equations

Papers in

Computational Theory and Mathematics 37
- Matrix Theory and Algorithms 19
- Numerical Methods and Algorithms 17
Numerical Analysis 11
- Numerical methods for differential equations 7

Co-authors: Gene H. Golub Chandler Davis James Demmel Ren‐Cang Li Hans F. Weinberger Beresford Ν. Parlett D. Hough Cindy Rubio-González
Journals: Communications of the ACM (5 papers)SIAM Journal on Numerical Analysis (4 papers)ACM Transactions on Mathematical Software (3 papers)Proceedings of the American Mathematical Society (3 papers)Mathematics of Computation (2 papers)
Partner nations: United States Canada India

In The Last Decade

W. Kahan

52 papers receiving 3.1k citations

Hit Papers

align trajectories log scale

The Rotation of Eigenvectors by a Perturbation. III 1970 · 648 citations

What are hit papers?

Hit papers significantly outperform the citation benchmark for their cohort. A paper qualifies if any of the following hold:

it has ≥500 total citations;
it reaches ≥1.5× the top-1% citation threshold for papers in the same subfield and year (the threshold is the minimum needed to enter the top 1%, not the average within it);
it reaches the top citation threshold in at least one of its specific research topics.

1970 SIAM Journal on Numerical Analysis
1965 Calculating the Singular Values and Pseudo-Inverse of a Matrix

Peers

Countries citing papers authored by W. Kahan

Since Specialization

Citations

This map shows the geographic impact of W. Kahan's research. It shows the number of citations coming from papers published by authors working in each country. You can also color the map by specialization and compare the number of citations received by W. Kahan with the expected number of citations based on a country's size and research output (numbers larger than one mean the country cites W. Kahan more than expected).

Fields of papers citing papers by W. Kahan

Since Specialization

Physical SciencesHealth SciencesLife SciencesSocial Sciences

This network shows the impact of papers produced by W. Kahan. Nodes represent research fields, and links connect fields that are likely to share authors. Colored nodes show fields that tend to cite the papers produced by W. Kahan. The network helps show where W. Kahan may publish in the future.

Co-authorship network

The 25 scholars most cited alongside W. Kahan, linked wherever they have co-authored with each other. Click a name or a connecting line to browse the papers they share.

Border = papers with W. Kahan Line = papers co-authored together W. Kahan links everyone, so they are left out of the graph.

All Works

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20 of 20 papers shown

#	Work
1	Is there a small skew Cayley transform with zero diagonal? Linear Algebra and its Applications ·W. Kahan	2006	4
2	Error bounds from extra-precise iterative refinement ACM Transactions on Mathematical Software ·James Demmel, Yozo Hida, W. Kahan, Xiaoye Sherry Li, A M Sozzo, Jason Riedy	2006	63
3	Error Bounds from Extra Precise Iterative Refinement University of North Texas Digital Library (University of North Texas) ·James Demmel, Yozo Hida, W. Kahan, Piangga Basuki Putra Randy, Alex Stroh, Tuyen N. M. Hua	2005	2
4	On computing givens rotations reliably and efficiently ACM Transactions on Mathematical Software ·David Bindel, James Demmel, W. Kahan, Osni Marques	2002	62
5	Composition constants for raising the orders of unconventional schemes for ordinary differential equations Mathematics of Computation ·W. Kahan, Ren‐Cang Li	1997	77
6	LAPACK Working Note 39: On Designing Portable High Performance Numerical Libraries Journal of Bacteriology ·James Demmel, Jack Dongarra, W. Kahan	1991	1
7	Analysis and refutation of the LCAS ACM SIGNUM Newsletter ·W. Kahan	1991	1
8	Computing small singular values of bidiagonal matrices with guaranteed high relative accuracy: LAPACK working note number 3 OSTI OAI (U.S. Department of Energy Office of Scientific and Technical Information) ·J. Demmel, W. Kahan	1988	6
9	A Proposed Radix- and Word-length-independent Standard for Floating-point Arithmetic IEEE Micro ·William J. Cody, C.Y. Wang, David Gay, K. Hanson, D. Hough, W. Kahan, Laura Broco-Villahoz, J. Palmer, Jia Yong Sheng, Allison T. Contillo	1984	34
10	On a proposed floating-point standard ACM SIGNUM Newsletter ·W. Kahan, J. Palmer	1979	27
11	Problem #9 ACM SIGSAM Bulletin ·W. Kahan	1975	9
12	An Analysis of Lanczos Algorithms for Symmetric Matrices, Defense Technical Information Center (DTIC) ·W. Kahan, Beresford Ν. Parlett	1974	5
13	Every 𝑛×𝑛 matrix 𝑍 with real spectrum satisfies ‖𝑍-𝑍‖≤‖𝑍+𝑍‖(log₂𝑛+0.038) Proceedings of the American Mathematical Society ·W. Kahan	1973	4
14	Ellipsoidal bounds for the propagation of uncertainty along trajectories. Bulletin of the American Astronomical Society ·W. Kahan	1972	0
15	In memoriam: Hirondo Kuki ACM SIGNUM Newsletter ·W. Kahan	1972	1
16	A Survey of Error Analysis. IFIP Congress ·W. Kahan	1971	42
17	On the convergence of a practical QR algorithm. IFIP Congress ·Beresford Ν. Parlett, W. Kahan	1968	22
18	Accurate eigenvalues of a symmetric tri-diagonal matrix Defense Technical Information Center (DTIC) ·W. Kahan	1966	22
19	Pracniques: further remarks on reducing truncation errors Communications of the ACM ·W. Kahan	1965	258
20	Algorithm 167: calculation of confluent divided differences Communications of the ACM ·W. Kahan, Shuang-xia Wu	1963	8

About W. Kahan

W. Kahan is a scholar working on Computational Theory and Mathematics, Numerical Analysis, Hardware and Architecture, Algebra and Number Theory and Applied Mathematics, having authored 55 papers that have together received 3.6k indexed citations. Recurring topics across this work include Matrix Theory and Algorithms (19 papers), Numerical Methods and Algorithms (17 papers), Parallel Computing and Optimization Techniques (8 papers), Numerical methods for differential equations (7 papers), graph theory and CDMA systems (6 papers), Advanced Numerical Analysis Techniques (4 papers), Digital Filter Design and Implementation (4 papers) and Scientific Research and Discoveries (4 papers). The work is most often cited by research in Computational Mathematics (128 citations), Numerical Analysis (601 citations), Computational Theory and Mathematics (1.7k citations), Hardware and Architecture (414 citations) and Applied Mathematics (394 citations). W. Kahan has collaborated with scholars based in United States, Canada and India. Frequent co-authors include Gene H. Golub, Chandler Davis, James Demmel, Ren‐Cang Li, Hans F. Weinberger, Beresford Ν. Parlett, D. Hough, Cindy Rubio-González, E. Jiang and David H. Bailey. Their work appears in journals such as Communications of the ACM, SIAM Journal on Numerical Analysis, ACM Transactions on Mathematical Software, Proceedings of the American Mathematical Society and Mathematics of Computation.

Rankless uses publication and citation data sourced from OpenAlex, an open and comprehensive bibliographic database. While OpenAlex provides broad and valuable coverage of the global research landscape, it—like all bibliographic datasets—has inherent limitations. These include incomplete records, variations in author disambiguation, differences in journal indexing, and delays in data updates. As a result, some metrics and network relationships displayed in Rankless may not fully capture the entirety of a scholar's output or impact.

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