Results 41 to 50 of about 205,279 (307)
Triangular decomposition of semi-algebraic systems [PDF]
Journal of Symbolic Computation, 2010 8 pages, accepted by ISSAC ...
James H. Davenport +5 more
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Strongly Ad-Nilpotent Elements of the Lie Algebra of Upper Triangular Matrices
Journal of Mathematics, 2022 In this paper, the strongly ad-nilpotent elements of the Lie algebra tn,ℂ of upper triangular complex matrices are studied. We prove that all the nilpotent matrices in tn,ℂ are strongly ad-nilpotent if and only if n≤6. Additionally, we prove that all the
Zhiguang Hu
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The Algebra of $S^2$-Upper Triangular Matrices [PDF]
arXiv, 2023 Based on work presented in [4], we define $S^2$-Upper Triangular Matrices and $S^2$-Lower Triangular Matrices, two special types of $d\times d(2d-1)$ matrices generalizing Upper and Lower Triangular Matrices, respectively. Then, we show that the property that the determinant of an Upper Triangular Matrix is the product of its diagonal entries is ...
arxiv
Jordan automorphisms, Jordan derivations of generalized triangular matrix algebra
International Journal of Mathematics and Mathematical Sciences, 2005 We investigate Jordan automorphisms and Jordan derivations of a class of algebras called generalized triangular matrix algebras. We prove that any Jordan automorphism on such an algebra is either an automorphism or an antiautomorphism and any Jordan ...
Aiat Hadj Ahmed Driss +1 more
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Characteristic Polynomial and Eigenproblem of Triangular Matrix over Interval Min-Plus Algebra
JTAM (Jurnal Teori dan Aplikasi Matematika)A min-plus algebra is a linear algebra over the semiring R_ε', equipped with the operations “"⊕'=min" ” and “⊗=+”. In min-plus algebra, there is the concept of characteristic polynomial obtained from permanent of matrix.
Anita Dwi Rahmawati +2 more
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Derivations of certain operator algebras
International Journal of Mathematics and Mathematical Sciences, 2000 Let 𝒩 be a nest and let 𝒜 be a subalgebra of L(H) containing all rank one operators of alg 𝒩. We give several conditions under which any derivation δ from 𝒜 into L(H) must be inner.
Jiankui Li, Hemant Pendharkar
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Primitive Triangular UHF Algebras
Journal of Functional Analysis, 1998 AbstractWe prove that a large class of triangular UHF algebras are primitive. We use two avenues to obtain our results: a direct approach in which we explicitly construct a faithful, algebraically irreducible representation of the algebra on a separable Hilbert space, as well as an indirect, algebraic approach which utilizes the prime ideal structure ...
Timothy D. Hudson, Elias G. Katsoulis
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International Journal of Robust and Nonlinear Control, Volume 33, Issue 1, Page 489-506, 10 January 2023., 2023 Abstract In this article, a data‐driven difference‐inversion‐based iterative control (DDD‐IIC) approach is proposed to compensate for both nonlinear hysteresis and dynamics of Hammerstein systems. Simultaneous hysteresis‐dynamics compensation is needed in control of Hammerstein systems such as smart actuators, where effects of hysteresis and dynamics ...
Zhihua Wang, Qingze Zou
wiley +1 more source
Combinatorial Hopf algebra of supercharacters of type D [PDF]
Discrete Mathematics & Theoretical Computer Science, 2012 We provide a Hopf algebra structure on the supercharacter theory for the unipotent upper triangular group of type {D} over a finite field. Also, we make further comments with respect to types {B} and {C}. Type {A} was explored by M. Aguiar et. al (2010),
Carolina Benedetti
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Journal of Functional Analysis, 1990 AbstractIn this paper we classify triangular UHF algebras. The generic triangular UHF algebra is constructed as follows. Let (pn) be any sequence of positive integers such that pm|pn whenever m ⩽ n. For each n let Tpn be the algebra of all pn × pn upper triangular complex matrices, and for m ⩽ n, let σpn·pm: Tpm → Tpn be the mapping, x↦1d⊗x, where d ...
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