Corrigendum to “Expressing infinite matrices over rings as products of involutions” [Linear Algebra Appl. 532 (2017) 257-265]
Sign Up to like & getrecommendations! Published in 2019 at "Linear Algebra and its Applications"
DOI: 10.1016/j.laa.2019.11.013
Abstract: Abstract There is an error in the proof of Theorem 2.3 of [1] . In this corrigendum Theorem 2.3 is rewritten and Theorem 2.5 and Theorem 1.1 of [1] are reproved. read more here.
Keywords: infinite matrices; rings products; expressing infinite; matrices rings ... See more keywords
Corrigendum to: “ On sequences of Toeplitz matrices over finite fields” [Linear Algebra Appl. 561 (2019) 63–80]
Sign Up to like & getrecommendations! Published in 2020 at "Linear Algebra and its Applications"
DOI: 10.1016/j.laa.2020.01.008
Abstract: Abstract For each non-negative integer n let A n be an n + 1 by n + 1 Toeplitz matrix over a finite field, F, and suppose for each n that A n is embedded… read more here.
Keywords: matrices finite; toeplitz matrices; sequences toeplitz; finite fields ... See more keywords
Corrigendum to “Representations of ⁎-semigroups associated to invariant kernels with values adjointable operators” [Linear Algebra Appl. 486 (2015) 361–388]
Sign Up to like & getrecommendations! Published in 2020 at "Linear Algebra and its Applications"
DOI: 10.1016/j.laa.2020.01.009
Abstract: Abstract We correct a lemma by adding the assumption that the ordered ⁎-space is Archimedean and show by counter-examples and examples that this is needed. read more here.
Keywords: semigroups associated; representations semigroups; associated invariant; invariant kernels ... See more keywords
Corrigendum to “An extension of Haagerup-Harpe inequality” [Linear Algebra Appl. 577 (2019) 69–77]
Sign Up to like & getrecommendations! Published in 2020 at "Linear Algebra and its Applications"
DOI: 10.1016/j.laa.2020.04.026
Abstract: Abstract A revised version of the main theorem in A. M. Hamedani et al. (2019) [1] is presented. We prove that for every matrix A ∈ M n which is unitarily similar to a non-negative… read more here.
Keywords: extension haagerup; corrigendum extension; haagerup harpe; inequality ... See more keywords
Variational algorithms for linear algebra
Sign Up to like & getrecommendations! Published in 2021 at "Science Bulletin"
DOI: 10.1016/j.scib.2021.06.023
Abstract: Quantum algorithms have been developed for efficiently solving linear algebra tasks. However they generally require deep circuits and therefore universal fault-tolerant quantum computers. In this work, we propose variational algorithms for linear algebra tasks that… read more here.
Keywords: algorithms linear; variational algorithms; quantum; algorithms ... See more keywords
Curve Fitting, Linear Algebra, and Solver in an Analytical Chemistry Course: A Facile and Safe Activity Suitable for the Classroom Setting
Sign Up to like & getrecommendations! Published in 2020 at "Journal of Chemical Education"
DOI: 10.1021/acs.jchemed.9b00421
Abstract: Undergraduate analytical chemistry courses emphasize fundamental stoichiometric and physicochemical analytical techniques with statistical analysis and linear calibrations. Higher-level data analys... read more here.
Keywords: curve fitting; algebra solver; chemistry; analytical chemistry ... See more keywords
Greek ladders via linear algebra
Sign Up to like & getrecommendations! Published in 2018 at "International Journal of Mathematical Education in Science and Technology"
DOI: 10.1080/0020739x.2018.1440326
Abstract: ABSTRACT Theon's ladder is an ancient method for easily approximating nth roots of a real number k. Previous work in this area has focused on modifying Theon's ladder to approximate roots of quadratic polynomials. We… read more here.
Keywords: via linear; linear algebra; greek ladders; ladders via ... See more keywords
Determining Feynman Integrals with Only Input from Linear Algebra.
Sign Up to like & getrecommendations! Published in 2022 at "Physical review letters"
DOI: 10.1103/physrevlett.129.222001
Abstract: We find that all Feynman integrals (FIs), having any number of loops, can be completely determined once linear relations between FIs are provided. Therefore, FI computation is conceptually changed to a linear algebraic problem. Examples… read more here.
Keywords: input linear; determining feynman; feynman integrals; integrals input ... See more keywords
A Case for Malleable Thread-Level Linear Algebra Libraries: The LU Factorization With Partial Pivoting
Sign Up to like & getrecommendations! Published in 2019 at "IEEE Access"
DOI: 10.1109/access.2019.2895541
Abstract: We propose two novel techniques for overcoming load-imbalance encountered when implementing so-called look-ahead mechanisms in relevant dense matrix factorizations for the solution of linear systems. Both techniques target the scenario where two thread teams are… read more here.
Keywords: malleable thread; factorization partial; task; linear algebra ... See more keywords
Linear Algebra and Learning From Data [Bookshelf]
Sign Up to like & getrecommendations! Published in 2020 at "IEEE Control Systems"
DOI: 10.1109/mcs.2020.2976390
Abstract: Gilbert Strang’s most recent textbook is remarkable on several fronts. Published in 2019, it contains the key linear algebra and optimization techniques at the forefront of active data-science and machine learning practice today. This is… read more here.
Keywords: linear algebra; machine learning; mathematics; matrix methods ... See more keywords
Increased Roles of Linear Algebra in Control Education [25 Years Ago]
Sign Up to like & getrecommendations! Published in 2020 at "IEEE Control Systems"
DOI: 10.1109/mcs.2020.2990506
Abstract: In the past, control theory developed along different lines that required different mathematical tools. Timevarying systems required one set of tools, time-invariant another. Singleinput, single-output problems lend themselves easily to one approach, but this approach… read more here.
Keywords: increased roles; roles linear; control; control education ... See more keywords