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Randomized Numerical Linear Algebra : A Perspective on the Field With an Eye to Software [PDF]
arXiv.org, 2023 Randomized numerical linear algebra - RandNLA, for short - concerns the use of randomization as a resource to develop improved algorithms for large-scale linear algebra computations. The origins of contemporary RandNLA lay in theoretical computer science,
Riley Murray +12 more
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Uma aplicação da álgebra linear na representação de imagens [PDF]
CQD Revista Eletrônica Paulista de Matemática, 2021 Com o advento da computação moderna e o crescimento exponencial da capacidade de processamento de novas máquinas, a Álgebra Linear tem se mostrado uma ferramenta de extrema utilidade quando é necessário lidar com grandes volumes de informação, cenário ...
Rafael Froner Prando +1 more
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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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Differentiation of linear algebras with a unit over a field
Дифференциальная геометрия многообразий фигур, 2023 Linear algebras over a given field arise when studying various problems of algebra, analysis and geometry. The operation of differentiation, which originated in mathematical analysis, was transferred to the theory of linear algebras over a field, as well
A.Ya. Sultanov +2 more
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Revista de Investigação e Divulgação em Educação Matemática, 2023 A Álgebra Linear e a Álgebra Abstrata são disciplinas em evidência na licenciatura em Matemática e nos cursos superiores relacionados as exatas. Considerando a importância dessas unidades curriculares, este artigo tem como objetivo compreender como os ...
Maria Vanísia Mendonça de Lima +1 more
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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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Southeast Asian Mathematics Education Journal, 2022 To help students in solving the linear equations in one variable, teacher can use a learning media such as algebra tiles. Algebra tiles are square and rectangle-shaped tiles that represent numbers and variables.
Dyah Sinto Rini
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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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Formal Theories for Linear Algebra [PDF]
Logical Methods in Computer Science, 2012 We introduce two-sorted theories in the style of [CN10] for the complexity classes \oplusL and DET, whose complete problems include determinants over Z2 and Z, respectively.
Stephen A Cook, Lila A Fontes
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