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Linear algebra occupies a central place in modern mathematics. Also, it is a beautiful and mature field of mathematics, and mathematicians have developed highly effective methods for solving its problems.
The Saylor Foundation
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Linear Algebra and Smarandache Linear Algebra [PDF]
The present book, on Smarandache linear algebra, not only studies the Smarandache analogues of linear algebra and its applications, it also aims to bridge the need for new research topics pertaining to linear algebra, purely in the algebraic sense.
Vasantha, Kandasamy
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The advent of memristive devices offers a promising avenue for efficient and scalable analog computing, particularly for linear algebra operations essential in various scientific and engineering applications.
J. Lin, F. Barrows, F. Caravelli
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ALGEBRAIC LINEAR ORDERINGS [PDF]
An algebraic linear ordering is a component of the initial solution of a first-order recursion scheme over the continuous categorical algebra of countable linear orderings equipped with the sum operation and the constant 1. Due to a general Mezei-Wright type result, algebraic linear orderings are exactly those isomorphic to the linear ordering of the ...
Stephen L. Bloom, Zoltán Ésik
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Nilpotent subspaces of maximal dimension in semisimple Lie algebras [PDF]
We show that a linear subspace of a reductive Lie algebra g that consists of nilpotent elements has dimension at most equal to the number of positive roots, and that any nilpotent subspace attaining this upper bound is equal to the nilradical of a Borel ...
Kuttler, J +8 more
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Serverless linear algebra [PDF]
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 high performance while benefiting from the greater elasticity.
Vaishaal Shankar +8 more
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On Linear Algebra Education [PDF]
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
Asymptotic aspect of derivations in Banach algebras
We prove that every approximate linear left derivation on a semisimple Banach algebra is continuous. Also, we consider linear derivations on Banach algebras and we first study the conditions for a linear derivation on a Banach algebra.
Jaiok Roh, Ick-Soon Chang
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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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Lawra – linear algebra with recursive algorithms
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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