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1-10 of 367 reviews |
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CPFloat: a C library for simulating low-precision arithmetic
Fasi M., Mikaitis M. ACM Transactions on Mathematical Software 49(2): 1-32, 2023. Type: Article
Mixed-mode floating-point arithmetic (MMFPA) is a requirement of modern numerical computing. The need arises, for instance, when computations entail execution on graphics processing units (GPUs) interleaved with execution on general-purpose (GP) c...
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Jan 12 2024 |
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randUTV: a blocked randomized algorithm for computing a rank-revealing UTV factorization
Martinsson P., Quintana-Ortí G., Heavner N. ACM Transactions on Mathematical Software 45(1): 1-26, 2019. Type: Article
Matrix singular value decomposition (SVD) has broad applications in both computational linear algebra and data analysis. Robust SVD algorithms and sophisticated software implementations have been available in the literature for decades...
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Jul 12 2021 |
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SparseX: a library for high-performance sparse matrix-vector multiplication on multicore platforms
Elafrou A., Karakasis V., Gkountouvas T., Kourtis K., Goumas G., Koziris N. ACM Transactions on Mathematical Software 44(3): 1-32, 2018. Type: Article
The treatment of many scientific and engineering problems leads nearly always to huge computational tasks, which can cause great difficulties even when modern high-speed parallel computers are available. Matrix-vector multiplications a...
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Sep 14 2020 |
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Computing the braid monodromy of completely reducible n-gonal curves
Aktas M., Akbas E. ACM Transactions on Mathematical Software 45(1): 1-11, 2019. Type: Article
The Babylonian quest to solve polynomial equations ushered in monodromy and geometric perceptions of how objects exhibit singularity behaviors. The real-world application of braid monodromy is more complicated than other permutation gr...
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Sep 26 2019 |
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Algorithm 995: an efficient parallel anisotropic Delaunay mesh generator for two-dimensional finite element analysis
Pardue J., Chernikov A. ACM Transactions on Mathematical Software 45(3): 1-30, 2019. Type: Article
Finite element analysis (FEA) depends on meshes that approximate the artifact to be analyzed. Starting with an initial mesh, an FEA development pipeline produces more and more refined meshes in an iterative process until the solution o...
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Sep 23 2019 |
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Algorithm 993: efficient computation with Kronecker products
Fackler P. ACM Transactions on Mathematical Software 45(2): 1-9, 2019. Type: Article
The Kronecker product of two matrices replaces each element of the first matrix with a multiple of a copy of the second matrix. The history, applications, and properties of the Kronecker and the symmetric products are well known [1,2]....
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Aug 14 2019 |
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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 |
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Numerically aware orderings for sparse symmetric indefinite linear systems
Hogg J., Scott J., Thorne S. ACM Transactions on Mathematical Software 44(2): 1-22, 2017. Type: Article
The LDLT decomposition of a real symmetric matrix where L is lower triangular with unit diagonal and D diagonal except for 2x2 blocks is a challenge when the matrix is...
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Nov 16 2017 |
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Topology-oriented incremental algorithm for the robust construction of the Voronoi diagrams of disks
Lee M., Sugihara K., Kim D. ACM Transactions on Mathematical Software 43(2): 1-23, 2016. Type: Article
Voronoi diagrams are important in many applications that range from theoretical computing to computational geometry, to computer graphics and computer vision. The relatively new problem of computing the Voronoi diagram for a set of geo...
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Jan 20 2017 |
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 A high performance QDWH-SVD solver using hardware accelerators
Sukkari D., Ltaief H., Keyes D. ACM Transactions on Mathematical Software 43(1): 1-25, 2016. Type: Article
To make effective use of modern computer hardware, algorithms have to be carefully designed with concurrency in mind: in particular, they need to efficiently utilize the multiple cores provided by the computer’s general-purpo...
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Oct 20 2016 |
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