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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
doaj
Supertropical linear algebra [PDF]
, 2010 The objective of this paper is to lay out the algebraic theory of supertropical vector spaces and linear algebra, utilizing the key antisymmetric relation of ``ghost surpasses.''Special attention is paid to the various notions of ``base,'' which include ...
Izhakian, Zur +2 more
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Rationality of Hilbert series in noncommutative invariant theory [PDF]
, 2017 It is a fundamental result in commutative algebra and invariant theory that a finitely generated graded module over a commutative finitely generated graded algebra has rational Hilbert series, and consequently the Hilbert series of the algebra of ...
Domokos, M., Drensky, V.
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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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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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The N $$ \mathcal{N} $$ = 2 supersymmetric w 1+∞ symmetry in the two-dimensional SYK models
Journal of High Energy Physics, 2022 We identify the rank (q syk + 1) of the interaction of the two-dimensional N $$ \mathcal{N} $$ = (2, 2) SYK model with the deformation parameter λ in the Bergshoeff, de Wit and Vasiliev (in 1991)’s linear W ∞ [λ] algebra via λ = 1 2 q syk + 1 $$ \lambda =
Changhyun Ahn
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Racks, Leibniz algebras and Yetter--Drinfel'd modules [PDF]
, 2014 A Hopf algebra object in Loday and Pirashvili's category of linear maps entails an ordinary Hopf algebra and a Yetter–Drinfel'd module. We equip the latter with a structure of a braided Leibniz algebra.
Kraehmer, Ulrich, Wagemann, Ftiedrich
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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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Non-linear generalization of the sl(2) algebra [PDF]
, 2002 We present a generalization of the sl(2) algebra where the algebraic relations are constructed with the help of a general function of one of the generators. When this function is linear this algebra is a deformed sl(2) algebra.
Bezerra +13 more
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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.
openaire +2 more sources