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Davis, Timothy A.
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Algorithm 980: sparse QR factorization on the GPU
Yeralan S., Davis T., Sid-Lakhdar W., Ranka S. ACM Transactions on Mathematical Software 44(2): 1-29, 2017. Type: Article
Many large-scale scientific and engineering computational problems lead, after some kind of discretization, to the solution of huge systems of linear algebraic equations and/or linear least squares problems containing many hundreds of ...
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Mar 14 2018
Algorithm 933: reliable calculation of numerical rank, null space bases, pseudoinverse solutions, and basic solutions using SuiteSparseQR
Foster L., Davis T. ACM Transactions on Mathematical Software 40(1): 1-23, 2013. Type: Article
The rank is one of the major characteristics of a matrix. In practice, the rank is not clear cut due to measurement errors and/or noise. Thus, determining the numerical rank of a matrix is an important problem. Many applications requir...
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Jan 6 2014
Algorithm 915, SuiteSparseQR: multifrontal multithreaded rank-revealing sparse QR factorization
Davis T. ACM Transactions on Mathematical Software 38(1): 1-22, 2011. Type: Article
In the area of computational linear algebra, an important topic is the solution of sparse matrix problems and the development of quality software. These problems require solution linear systems of equations and least-square problems. T...
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Mar 30 2012
MATLAB primer (8th ed.)
Davis T., CRC Press, Inc., Boca Raton, FL, 2010. 248 pp. Type: Book (978-1-439828-62-5)
MATLAB is becoming ubiquitous. It is taught widely in introductory courses in computational mathematics, and applied mathematics in general. It is a popular choice as a first programming language in mathematics, physics, chemistry, and...
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Oct 5 2011
Algorithm 887: CHOLMOD, supernodal sparse Cholesky factorization and update/downdate
Chen Y., Davis T., Hager W., Rajamanickam S. ACM Transactions on Mathematical Software 35(3): 1-14, 2008. Type: Article
The solution of large sparse positive definite linear systems of equations is a problem frequently encountered in many applications in scientific computing. The dimension of typical problems has grown substantially over the recent year...
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Dec 2 2008
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