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Randomized numerical linear algebra: Foundations and algorithms [PDF]
Acta Numerica, 2020 This survey describes probabilistic algorithms for linear algebraic computations, such as factorizing matrices and solving linear systems. It focuses on techniques that have a proven track record for real-world problems.
P. Martinsson, J. Tropp
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, 2021 Neste livro, o leitor irá encontrar o conteúdo de um primeiro curso de Álgebra Linear, abrangendo todos os tópicos abordados nessa disciplina, desde matrizes a espaços com produto interno.
Maurício Zahn
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Mixed precision algorithms in numerical linear algebra
Acta Numerica, 2022 Today’s floating-point arithmetic landscape is broader than ever. While scientific computing has traditionally used single precision and double precision floating-point arithmetics, half precision is increasingly available in hardware and quadruple ...
N. Higham, Théo Mary
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Ginkgo: A Modern Linear Operator Algebra Framework for High Performance Computing [PDF]
ACM Transactions on Mathematical Software, 2020 In this article, we present Ginkgo, a modern C++ math library for scientific high performance computing. While classical linear algebra libraries act on matrix and vector objects, Ginkgo’s design principle abstracts all functionality as “linear operators,
H. Anzt +8 more
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Variational algorithms for linear algebra. [PDF]
Science Bulletin, 2019 Quantum algorithms have been developed for efficiently solving linear algebra tasks. However, they generally require deep circuits and hence universal fault-tolerant quantum computers.
Xiaosi Xu +5 more
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Sketching as a Tool for Numerical Linear Algebra [PDF]
Foundations and Trends® in Theoretical Computer Science, 2014 This survey highlights the recent advances in algorithms for numericallinear algebra that have come from the technique of linear sketching,whereby given a matrix, one first compresses it to a much smaller matrixby multiplying it by a (usually) random ...
David P. Woodruff
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ACM Symposium on Cloud Computing, 2020 Datacenter disaggregation provides numerous benefits to both the datacenter operator and the application designer. However switching from the server-centric model to a disaggregated model requires developing new programming abstractions that can achieve ...
Vaishaal Shankar +8 more
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Wind profile prediction using linear Markov chains: A linear algebra approach [PDF]
, 2018 To predict the future wind speed and wind direction is of relevance to the wind industry to maximize the power generation. In this regards, this article describes a methodology for the construction of predictive models based on linear Markov chains under
García Planas, María Isabel +1 more
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Lectures on Randomized Numerical Linear Algebra [PDF]
IAS/Park City Mathematics Series, 2017 This chapter is based on lectures on Randomized Numerical Linear Algebra from the 2016 Park City Mathematics Institute summer school on The Mathematics of Data.
P. Drineas, Michael W. Mahoney
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Linear Algebra and its Applications
, 2010 provedthatamongalltreesoforder
Yunhui He, Jun Liu, Xiang Wang
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