Results 11 to 20 of about 38,746 (313)

Triangular Matrix Representations

open access: yesJournal of Algebra, 2000
A ring \(R\) is said to have a GTMR (reviewer's abbreviation for ``generalised triangular matrix representation'') if there is a positive integer \(n\) such that \(R\) is isomorphic to the ring of all \(n\times n\) upper triangular matrices with \(i\)-th diagonal entry in some ring \(R_i\) and with above-diagonal \((i,j)\)-entry in an \(R_i\)-\(R_j ...
Birkenmeier, Gary F.   +3 more
openaire   +1 more source

Simplified Matrix Focusing Imaging Algorithm for Ultrasonic Nondestructive Testing

open access: yesChinese Journal of Mechanical Engineering, 2022
Full matrix focusing method of ultrasonic phased array has been proved with advantages of good signal-to-noise ratio and imaging resolution in the field of Ultrasonic NDT.
Xinyu Zhao, Zemin Ma, Jiaying Zhang
doaj   +1 more source

Elementary triangular matrices and inverses of k-Hessenberg and triangular matrices

open access: yesSpecial Matrices, 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
Verde-Star Luis
doaj   +1 more source

Relative Gorenstein Dimensions over Triangular Matrix Rings

open access: yesMathematics, 2021
Let A and B be rings, U a (B,A)-bimodule, and T=A0UB the triangular matrix ring. In this paper, several notions in relative Gorenstein algebra over a triangular matrix ring are investigated.
Driss Bennis   +3 more
doaj   +1 more source

Static Scheduling Algorithm for Solving Sparse Matrixes on FPGA Architecture [PDF]

open access: yesJisuanji gongcheng, 2022
In power system simulations, the solution of large-scale sparse matrixes will consume a lot of storage and computing resources, and a failure to effectively utilize the sparsity of the matrix will lead to a waste of storage space and low computing ...
WANG Xiyang, CHEN Jilin, LI Meng, LIU Shouwen
doaj   +1 more source

Weakly Gorenstein comodules over triangular matrix coalgebras

open access: yesAIMS Mathematics, 2022
In this paper, we characterise weakly Gorenstein injective and weakly Gorenstein coflat comodules over triangular matrix coalgebras by introducing the class of weakly compatible bicomodules.
Dingguo Wang, Chenyang Liu, Xuerong Fu
doaj   +1 more source

Generalized Auto-Convolution Volterra Integral Equations: Numerical Treatments

open access: yesJournal of Mathematics, 2022
In this paper, we use the operational Tau method based on orthogonal polynomials to achieve a numerical solution of generalized autoconvolution Volterra integral equations.
Mahdi Namazi Nezamabadi, Saeed Pishbin
doaj   +1 more source

Tame triangular matrix algebras [PDF]

open access: yesColloquium Mathematicum, 2000
Let \(A\) be a finite dimensional \(k\)-algebra for \(k\) algebraically closed, such that the triangular matrix algebra \(T_2(A)\) is tame. It is known that in this case, \(A\) is of finite representation type and standard. In this paper, the authors describe, in terms of full, convex subcategories of \(\widetilde A\) (the universal Galois covering of \
Leszczyński, Zbigniew   +1 more
openaire   +1 more source

Triangularizing matrix polynomials

open access: yesLinear Algebra and its Applications, 2013
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Taslaman, Leo   +2 more
openaire   +1 more source

Multi-attribute decision-making method with triangular fuzzy numbers based on regret theory and the catastrophe progression method

open access: yesMathematical Biosciences and Engineering, 2022
The purpose of this paper was to develop a novel triangular fuzzy method for multi-attribute decision-making to eliminate the influence of indicator weights on scheme selection and account for the regret psychology of decision-makers.
Nian Zhang   +3 more
doaj   +1 more source

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