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Templates for Linear Algebra Problems (1995)  (Make Corrections)  (4 citations)
Zhaojun Bai, David Day, James Demmel, Jack Dongarra, et al.
Computer Science Today



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Abstract: . The increasing availability of advanced-architecture computers is having a very signi#cant e#ect on all spheres of scienti#c computation, including algorithm research and software developmentinnumerical linear algebra. Linear algebra #in particular, the solution of linear systems of equations and eigenvalue problems # lies at the heart of most calculations in scienti#c computing. This chapter discusses some of the recent developments in linear algebra designed to help the user on... (Update)

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...called ABLE package [4] In [38] an overview of relevant software is given as well as numerical results for representative test problems. In [3] a project is announced for the production of software for relevant algorithm for large eigenproblems. Most of the iterative methods...

.... is a part of a project to develop a template library and environment for solving different types of eigenvalue and singular value problems [4]. In the prototype of the ABLE template, a user has the option to implement the ABLE method at different levels. These levels refer to...

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BibTeX entry:   (Update)

Z. Bai, D. Day, J. Demmel, J. Dongarra, M. Gu, A. Ruhe, and H. van der Vorst. Templates for linear algebra problems. In J. van Leeuwen, editor, Computer Science Today. Springer Verlag, Berlin, 1995. http://citeseer.ist.psu.edu/bai95templates.html   More

@incollection{ bai95templates,
    author = "Zhaojun Bai and David Day and James Demmel and Jack Dongarra and Ming Gu and Axel Ruhe and Henk A. van der Vorst",
    title = "Templates for Linear Algebra Problems",
    booktitle = "Computer Science Today",
    pages = "115-140",
    year = "1995",
    url = "citeseer.ist.psu.edu/bai95templates.html" }
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624   The Algebraic Eigenvalue Problem (context) - Wilkinson - 1965
584   Perturbation Theory for Linear Operators (context) - Kato - 1980
532   LAPACK Users' Guide (context) - Anderson, Bai et al. - 1995
441   The Symmetric Eigenvalue Problem (context) - Parlett - 1980
417   Templates for the solution of linear systems: Building block.. - Barrett, Berry et al. - 1994
387   A set of level 3 basic linear algebra subprograms (context) - Dongarra, Croz et al. - 1990
345   Basic Linear Algebra Subprograms for Fortran usage (context) - Lawson, Hanson et al. - 1979
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147   LINPACK Users' Guide (context) - Dongarra, Bunch et al. - 1979
144   A Jacobi-Davidson iteration method for linear eigenvalue pro.. - Sleijpen, van der Vorst - 1995
127   Lanczos algorithms for large symmetric eigenvalue computatio.. (context) - Cullum, Willoughby - 1985
122   ScaLAPACK: A scalable linear algebra library for distributed.. (context) - Choi, Dongarra et al. - 1992
92   Distribution of mathematical software via electronic mail (context) - Dongarra, Grosse - 1987
68   Error and perturbation bounds for subspaces associated with .. (context) - Stewart - 1973
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44   The generalized Schur decomposition of an arbitrary pencil (context) - Demmel, agstr - 1993
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20   Reliable updated residuals in hybrid Bi-CG methods - Sleijpen, van der Vorst - 1994
18   LAPACK: A portable linear algebra library for supercomputers (context) - Demmel - 1989
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13   Results from the initial release of LAPACK (context) - Anderson, Dongarra - 1989
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12   Introduction to Split-C: Version (context) - Culler, Dusseau et al. - 1993
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8   Coherent parallel C (context) - Felten, Otto - 1988
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