Results 121 to 130 of about 205,279 (307)
Elementary triangular matrices and inverses of $k$-Hessenberg and triangular matrices [PDF]
arXiv, 2015 We use elementary triangular matrices to obtain some factorization, multiplication, and inversion properties of triangular matrices. We also obtain explicit expressions for the inverses of strict $k$-Hessenberg matrices and banded matrices. Our results can be extended to the cases of block triangular and block Hessenberg matrices.
arxiv
Mathematical Methods in the Applied Sciences, EarlyView.A highly accurate numerical method is given for the solution of boundary value problem of generalized Bagley‐Torvik (BgT) equation with Caputo derivative of order 0<β<2$$ 0<\beta <2 $$ by using the collocation‐shooting method (C‐SM). The collocation solution is constructed in the space Sm+1(1)$$ {S}_{m+1}^{(1)} $$ as piecewise polynomials of degree at ...
Suzan Cival Buranay +2 more
wiley +1 more source
International Journal of Mathematics and Mathematical Sciences, 2012 Let Cl+1(R) be the 2(l+1)×2(l+1) matrix symplectic Lie algebra over a commutative ring R with 2 invertible. Then tl+1CR = {m-1m-20-m-1T ∣ m̅1 is an l+1 upper triangular matrix, m̅2T=m̅2, over R} is the solvable subalgebra of Cl+1(R).
Xing Tao Wang, Lei Zhang
doaj +1 more source
$τ$-tilting finite triangular matrix algebras [PDF]
arXiv, 2020 First, we give a new example of silting-discrete algebras. Second, one explores when the algebra of triangular matrices over a finite dimensional algebra is $\tau$-tilting finite. In particular, we classify algebras over which triangular matrix algebras are $\tau$-tilting finite.
arxiv
The Ribbon Elements of the Quantum Double of Generalized Taft–Hopf Algebra
MathematicsLet s, t be two positive integers and k be an algebraically closed field with char (k)∤st. We show that the Drinfeld double D(⋀st,t*cop) of generalized Taft–Hopf algebra ⋀st,t*cop has ribbon elements if and only if t is odd.
Hua Sun +4 more
doaj +1 more source
Lie n-multiplicative mapping on Triangular n-Matrix Rings [PDF]
arXiv, 2018 In this paper we extend to triangular n-matrix rings and Lie n-multiplicative map a result about Lie multiplicative maps on triangular algebras due to Xiaofei Qi and Jinchuan Hou.
arxiv
Nonlinear Jordan triple derivable mapping on ∗-type trivial extension algebras
Electronic Research ArchiveThe aim of the paper was to give a description of nonlinear Jordan triple derivable mappings on trivial extension algebras. We proved that every nonlinear Jordan triple derivable mapping on a $ 2 $-torsion free $ * $-type trivial extension algebra is a ...
Xiuhai Fei , Cuixian Lu, Haifang Zhang
doaj +1 more source
A New Class of Maximal Triangular Aglebras [PDF]
arXiv, 2016 Triangular algebras, and maximal triangular algebras in particular, have been objects of interest for over fifty years. Rich families of examples have been studied in the context of many w$^*$- and C$^*$-algebras, but there remains a dearth of concrete examples in B(H).
arxiv
Waring problem for triangular matrix algebra
Linear Algebra and its ApplicationsThe Matrix Waring problem is if we can write every matrix as a sum of $k$-th powers. Here, we look at the same problem for triangular matrix algebra $T_n(\mathbb{F}_q)$ consisting of upper triangular matrices over a finite field. We prove that for all integers $k, n \geq 1$, there exists a constant $\mathcal C(k, n)$, such that for all $q> \mathcal ...
Kaushik, Rahul, Singh, Anupam
openaire +2 more sources
Higher Jordan triple derivations on ∗-type trivial extension algebras
AIMS MathematicsIn this paper, we investigated the problem of describing the form of higher Jordan triple derivations on trivial extension algebras. We show that every higher Jordan triple derivation on a $ 2 $-torsion free $ * $-type trivial extension algebra is a sum ...
Xiuhai Fei +3 more
doaj +1 more source