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Relevant bibliographies by topics / Linear and multilinear algebra

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Journal articles

Academic literature on the topic 'Linear and multilinear algebra'

Author: Grafiati

Published: 4 June 2021

Last updated: 27 January 2023

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Journal articles on the topic "Linear and multilinear algebra"

1

Qi, Liqun, Yimin Wei, Changqing Xu, and Tan Zhang. "Linear algebra and multilinear algebra." Frontiers of Mathematics in China 11, no. 3 (2016): 509–10. http://dx.doi.org/10.1007/s11464-016-0540-0.

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2

Marcus, Marvin. "Multilinear methods in linear algebra." Linear Algebra and its Applications 150 (May 1991): 41–59. http://dx.doi.org/10.1016/0024-3795(91)90158-s.

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3

Moafian, F., and Ebrahimi Vishki. "Lie higher derivations on triangular algebras revisited." Filomat 30, no. 12 (2016): 3187–94. http://dx.doi.org/10.2298/fil1612187m.

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Motivated by the extensive works of W.-S. Cheung [Linear Multilinear Algebra, 51 (2003), 299-310] and X.F. Qi [Acta Math. Sinica, English Series, 29 (2013), 1007-1018], we present the structure of Lie higher derivations on a triangular algebra explicitly. We then study those conditions under which a Lie higher derivation on a triangular algebra is proper. Our approach provides a direct proof for some known results concerning to the properness of Lie higher derivations on triangular algebras.

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4

Brusamarello, Rosali, Érica Zancanella Fornaroli, and Ednei Aparecido Santulo. "Classification of involutions on finitary incidence algebras." International Journal of Algebra and Computation 24, no. 08 (2014): 1085–98. http://dx.doi.org/10.1142/s0218196714500477.

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Let X be a connected partially ordered set and let K be a field of characteristic different from 2. We present necessary and sufficient conditions for two involutions on the finitary incidence algebra of X over K, FI (X), to be equivalent in the case when every multiplicative automorphism of FI (X) is inner. To get the classification of involutions we extend the concept of multiplicative automorphism to finitary incidence algebras and prove the Decomposition Theorem of involutions of [Anti-automorphisms and involutions on (finitary) incidence algebras, Linear Multilinear Algebra 60 (2012) 181–

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5

Taghavi, Ali, Mojtaba Nouri, Mehran Razeghi, and Vahid Darvish. "A note on non-linear ∗-Jordan derivations on ∗-algebras." Mathematica Slovaca 69, no. 3 (2019): 639–46. http://dx.doi.org/10.1515/ms-2017-0253.

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Abstract Taghavi et al. in [TAGHAVI, A.—ROHI, H.—DARVISH, V.: Non-linear ∗-Jordan derivations on von Neumann algebras, Linear Multilinear Algebra 64 (2016), 426–439] proved that the map Φ: 𝓐 → 𝓐 which satisfies the following condition $$\begin{array}{} \Phi(A\diamond B)=\Phi(A)\diamond B+A\diamond \Phi(B) \end{array} $$ where A ⋄ B = AB+BA* for every A, B ∈ 𝓐 is an additive ∗-derivation. In this short note, we prove that when A is a prime ∗-algebras and Φ: 𝓐 → 𝓐 satisfies the above condition, then Φ is ∗-additive. Moreover, if Φ(iI) is self-adjoint then Φ is derivation.

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6

Rota, Gian-Carlo. "Linear algebra and group representations, Vol. II, Multilinear algebra and group representations." Advances in Mathematics 57, no. 1 (1985): 91. http://dx.doi.org/10.1016/0001-8708(85)90107-0.

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7

Bini, Dario, Marilena Mitrouli, Marc Van Barel, and Joab Winkler. "Structured Numerical Linear and Multilinear Algebra: Analysis, Algorithms and Applications." Linear Algebra and its Applications 502 (August 2016): 1–4. http://dx.doi.org/10.1016/j.laa.2016.03.042.

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8

Chen, Huanyin, and Marjan Abdolyousefi. "Generalized Jacobson’s lemma for generalized Drazin inverses." Filomat 35, no. 7 (2021): 2267–75. http://dx.doi.org/10.2298/fil2107267c.

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We present new generalized Jacobson?s lemma for generalized Drazin inverses. This extends the main results on g-Drazin inverse of Yan, Zeng and Zhu (Linear & Multilinear Algebra, 68(2020), 81-93).

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9

Moradi, Hamid, Shigeru Furuichi, and Zahra Heydarbeygi. "New Refinement of the Operator Kantorovich Inequality." Mathematics 7, no. 2 (2019): 139. http://dx.doi.org/10.3390/math7020139.

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We focus on the improvement of operator Kantorovich type inequalities. Among the consequences, we improve the main result of the paper [H.R. Moradi, I.H. Gümüş, Z. Heydarbeygi, A glimpse at the operator Kantorovich inequality, Linear Multilinear Algebra, doi:10.1080/03081087.2018.1441799].

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10

Huang, Zhengge, and Jingjing Cui. "Improved Brauer-type eigenvalue localization sets for tensors with their applications." Filomat 34, no. 14 (2020): 4607–25. http://dx.doi.org/10.2298/fil2014607h.

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In this paper, by excluding some sets from the Brauer-type eigenvalue inclusion sets for tensors developed by Bu et al. (Linear Algebra Appl. 512 (2017) 234-248) and Li et al. (Linear and Multilinear Algebra 64 (2016) 727-736), some improved Brauer-type eigenvalue localization sets for tensors are given, which are proved to be much tighter than those put forward by Bu et al. and Li et al. As applications, some new criteria for identifying the nonsingularity of tensors are developed, which are better than some previous results. This fact is illustrated by some numerical examples.

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