Results 31 to 40 of about 582,534 (335)
On Linear Algebra Education [PDF]
İnönü Üniversitesi Eğitim Fakültesi Dergisi, 2009 Linear algebra is a basic course followed in mathematics, science, and engineering university departments.Generally, this course is taken in either the first or second year but there have been difficulties in teachingand learning.
Sinan AYDIN
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, 2023 Our title challenges the reader to venture beyond linear algebra in designing models and in thinking about numerical algorithms for identifying solutions. This article accompanies the author's lecture at the International Congress of Mathematicians 2022.
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Efficiently Mapping Linear Algebra to High-Performance Code [PDF]
, 2019 Aware of the role that linear algebra plays in scientific applications, we investigate if/how matrix expressions can be efficiently evaluated with current high-level languages.
Barthels, Henrik +2 more
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On linear algebraic semigroups [PDF]
Transactions of the American Mathematical Society, 1980 Let K be an algebraically closed field. By an algebraic semigroup we mean a Zariski closed subset of K n {K^n} along with a polynomially defined associative operation. Let S be an algebraic semigroup. We show that S has ideals I 0 ,
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LAPACK95 ‐ high performance linear algebra package
Mathematical Modelling and Analysis, 2000 LAPACK95 is a set of FORTRAN95 subroutines which interfaces FORTRAN95 with LAPACK. All LAPACK driver subroutines (including expert drivers) and some LAPACK computationals have both generic LAPACK95 interfaces and generic LAPACK77 interfaces.
J. Dongarra, J. Waśniewski
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Linear algebra with transformers
Trans. Mach. Learn. Res., 2021 Transformers can learn to perform numerical computations from examples only. I study nine problems of linear algebra, from basic matrix operations to eigenvalue decomposition and inversion, and introduce and discuss four encoding schemes to represent real numbers. On all problems, transformers trained on sets of random matrices achieve high accuracies (
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Lawra – linear algebra with recursive algorithms
Mathematical Modelling and Analysis, 1999 Recursion leads to automatic variable blocking for dense linear‐algebra algorithms. The recursive way of programming algorithms eliminates using BLAS level 2 during the factorization steps.
B. S. Andersen +4 more
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A Linear Algebra Approach to Linear Metatheory [PDF]
Electronic Proceedings in Theoretical Computer Science, 2021 Linear typed $λ$-calculi are more delicate than their simply typed siblings when it comes to metatheoretic results like preservation of typing under renaming and substitution. Tracking the usage of variables in contexts places more constraints on how variables may be renamed or substituted.
Wood, James, Atkey, Robert
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The SVD-Fundamental Theorem of Linear Algebra
Nonlinear Analysis, 2006 Given an m×n matrix A, with m ≥ n, the four subspaces associated with it are shown in Fig. 1 (see [1]). Fig. 1. The row spaces and the nullspaces of A and AT ; a1 through an and h1 through hm are abbreviations of the alignerframe and hangerframe vectors ...
A. G. Akritas +2 more
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A $q$-analogue of derivations on the tensor algebra and the $q$-Schur-Weyl duality [PDF]
, 2015 This paper presents a $q$-analogue of an extension of the tensor algebra given by the same author. This new algebra naturally contains the ordinary tensor algebra and the Iwahori-Hecke algebra type $A$ of infinite degree.
Itoh, Minoru
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