Åke Björck

11.1k total citations · 3 hit papers
50 papers, 7.8k citations indexed

About

Åke Björck is a scholar working on Computational Theory and Mathematics, Numerical Analysis and Applied Mathematics. According to data from OpenAlex, Åke Björck has authored 50 papers receiving a total of 7.8k indexed citations (citations by other indexed papers that have themselves been cited), including 28 papers in Computational Theory and Mathematics, 22 papers in Numerical Analysis and 15 papers in Applied Mathematics. Recurrent topics in Åke Björck's work include Matrix Theory and Algorithms (27 papers), Advanced Optimization Algorithms Research (18 papers) and Statistical and numerical algorithms (15 papers). Åke Björck is often cited by papers focused on Matrix Theory and Algorithms (27 papers), Advanced Optimization Algorithms Research (18 papers) and Statistical and numerical algorithms (15 papers). Åke Björck collaborates with scholars based in Sweden, United Kingdom and United States. Åke Björck's co-authors include Germund Dahlquist, Ned Anderson, Gene H. Golub, Víctor Pereyra, Tommy Elfving, Christopher C. Paige, Sven Hammarling, Walter Gander, Iain Duff and Zdeněk Strakoš and has published in prestigious journals such as Journal of the American Statistical Association, IEEE Transactions on Signal Processing and Mathematics of Computation.

In The Last Decade

Åke Björck

50 papers receiving 7.0k citations

Hit Papers

Numerical Methods for Least Squares Problems 1973 2026 1990 2008 1996 1974 1973 500 1000 1.5k 2.0k
What are hit papers?

Hit papers significantly outperform the citation benchmark for their cohort. A paper qualifies if it has ≥500 total citations, achieves ≥1.5× the top-1% citation threshold for papers in the same subfield and year (this is the minimum needed to enter the top 1%, not the average within it), or reaches the top citation threshold in at least one of its specific research topics.

  1. Numerical Methods for Least Squares Problems
    1996 2.4k citations Åke Björck Society for Industrial and Applied Mathematics eBooks profile →
  2. Numerical methods
    1974 1.4k citations Åke Björck, Germund Dahlquist et al. profile →
  3. Numerical methods for computing angles between linear subspaces
    1973 517 citations Åke Björck, Gene H. Golub Mathematics of Computation profile →

Peers — A (Enhanced Table)

Peers by citation overlap · career bar shows stage (early→late) cites · hero ref

Name h Career Trend Papers Cites
Åke Björck Sweden 31 2.2k 1.6k 1.4k 1.0k 897 50 7.8k
Josef Stoer Germany 27 2.4k 1.1× 1.6k 1.0× 2.4k 1.8× 936 0.9× 599 0.7× 77 9.0k
Christopher C. Paige Canada 29 2.9k 1.3× 1.4k 0.9× 1.5k 1.1× 783 0.8× 514 0.6× 75 8.3k
Charles F. Van Loan United States 12 1.5k 0.7× 1.3k 0.8× 763 0.6× 1.4k 1.4× 1.1k 1.2× 22 7.2k
Roland Bulirsch Germany 24 1.5k 0.7× 1.4k 0.9× 1.8k 1.3× 960 0.9× 508 0.6× 48 8.6k
C Moler United States 25 2.9k 1.3× 1.8k 1.1× 1.9k 1.4× 1.5k 1.4× 560 0.6× 60 11.5k
Richard Hanson United States 19 1.4k 0.6× 911 0.6× 636 0.5× 900 0.9× 791 0.9× 56 10.0k
Dianne P. O’Leary United States 36 1.7k 0.8× 1.7k 1.1× 911 0.7× 865 0.8× 1.2k 1.3× 169 8.4k
Robert B. Schnabel United States 27 2.4k 1.1× 1.5k 0.9× 2.6k 1.9× 889 0.9× 584 0.7× 83 9.1k
Peter Lancaster Canada 36 3.8k 1.7× 1.5k 1.0× 2.2k 1.6× 955 0.9× 394 0.4× 184 10.3k
А. Н. Тихонов Russia 30 1.2k 0.5× 1.6k 1.0× 601 0.4× 1.1k 1.0× 1.6k 1.8× 167 13.6k

Countries citing papers authored by Åke Björck

Since Specialization
Citations

This map shows the geographic impact of Åke Björck'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 Åke Björck with the expected number of citations based on a country's size and research output (numbers larger than one mean the country cites Åke Björck more than expected).

Fields of papers citing papers by Åke Björck

Since Specialization
Physical SciencesHealth SciencesLife SciencesSocial Sciences

This network shows the impact of papers produced by Åke Björck. 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 Åke Björck. The network helps show where Åke Björck may publish in the future.

Co-authorship network of co-authors of Åke Björck

This figure shows the co-authorship network connecting the top 25 collaborators of Åke Björck. A scholar is included among the top collaborators of Åke Björck based on the total number of citations received by their joint publications. Widths of edges represent the number of papers authors have co-authored together. Node borders signify the number of papers an author published with Åke Björck. Åke Björck is excluded from the visualization to improve readability, since they are connected to all nodes in the network.

All Works

20 of 20 papers shown
1.
Björck, Åke & Ulf Geir Indahl. (2017). Fast and stable partial least squares modelling: A benchmark study with theoretical comments. Journal of Chemometrics. 31(8). 18 indexed citations
2.
Björck, Åke. (2014). Stability of Two Direct Methods for Bidiagonalization and Partial Least Squares. SIAM Journal on Matrix Analysis and Applications. 35(1). 279–291. 5 indexed citations
3.
Dahlquist, Germund & Åke Björck. (2008). Numerical methods in scientific computing. Society for Industrial and Applied Mathematics eBooks. 178 indexed citations
4.
Björck, Åke. (2004). The calculation of linear least squares problems. Acta Numerica. 13. 1–53. 41 indexed citations
5.
Björck, Åke & Jin Yuan. (1999). Preconditioners for least squares problems by LU factorization.. 8. 26–35. 18 indexed citations
6.
Björck, Åke. (1997). Newton and Rayleigh quotient methods for total least squares problems. 149–160. 12 indexed citations
7.
Björck, Åke. (1996). Numerical Methods for Least Squares Problems. Society for Industrial and Applied Mathematics eBooks. 2406 indexed citations breakdown →
8.
Björck, Åke. (1994). Numerics of Gram-Schmidt orthogonalization. Linear Algebra and its Applications. 197-198. 297–316. 192 indexed citations
9.
Björck, Åke, et al.. (1994). Accurate Downdating of Least Squares Solutions. SIAM Journal on Matrix Analysis and Applications. 15(2). 549–568. 42 indexed citations
10.
Björck, Åke, E. Grimme, & Paul Van Dooren. (1994). An implicit shift bidiagonalization algorithm for ill-posed systems. BIT Numerical Mathematics. 34(4). 510–534. 55 indexed citations
11.
Björck, Åke. (1987). Stability analysis of the method of seminormal equations for linear least squares problems. Linear Algebra and its Applications. 88-89. 31–48. 52 indexed citations
12.
Björck, Åke. (1984). A General Updating Algorithm for Constrained Linear Least Squares Problems. SIAM Journal on Scientific and Statistical Computing. 5(2). 394–402. 28 indexed citations
13.
Björck, Åke & Sven Hammarling. (1983). A Schur method for the square root of a matrix. Linear Algebra and its Applications. 52-53. 127–140. 114 indexed citations
14.
Björck, Åke, Robert J. Plemmons, & Hans Schneider. (1983). Large Scale Matrix Problems.. Mathematics of Computation. 40(161). 413–413. 10 indexed citations
15.
Björck, Åke & Iain Duff. (1980). A direct method for the solution of sparse linear least squares problems. Linear Algebra and its Applications. 34. 43–67. 43 indexed citations
16.
Björck, Åke. (1978). Comment on the Iterative Refinement of Least-Squares Solutions. Journal of the American Statistical Association. 73(361). 161–161. 5 indexed citations
17.
Björck, Åke, Germund Dahlquist, & Ned Anderson. (1974). Numerical methods. 1377 indexed citations breakdown →
18.
Björck, Åke & Gene H. Golub. (1973). Numerical methods for computing angles between linear subspaces. Mathematics of Computation. 27(123). 579–594. 517 indexed citations breakdown →
19.
Björck, Åke & Víctor Pereyra. (1970). Solution of Vandermonde Systems of Equations. Mathematics of Computation. 24(112). 893–893. 189 indexed citations
20.
Björck, Åke. (1967). Solving linear least squares problems by Gram-Schmidt orthogonalization. BIT Numerical Mathematics. 7(1). 1–21. 342 indexed citations

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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