Results 21 to 30 of about 155,178 (312)
The inverse along a lower triangular matrix [PDF]
Applied Mathematics and Computation, 2012 Abstract In this paper, we investigate the recently defined notion of inverse along an element in the context of matrices over a ring. Precisely, we study the inverse of a matrix along a lower triangular matrix, under some conditions.
Mary, Xavier, Patrício, Pedro
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Calculation algorithm of rational estimations of recurrence periodical fourth order fraction
Karpatsʹkì Matematičnì Publìkacìï, 2014 Recurrence fourth order fractions are studied. Connection with algebraic fourth order equations is established. Calculation algorithms of rational contractions of such fractions are built.
R.A. Zatorsky, A.V. Semenchuk
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Generalized Auto-Convolution Volterra Integral Equations: Numerical Treatments
Journal 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
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Relative Gorenstein Dimensions over Triangular Matrix Rings
Mathematics, 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
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ON GENERALIZED TRIANGULAR MATRIX RINGS [PDF]
East Asian mathematical journal, 2014 For a generalized triangular matrix ring T = R M 0 S , over rings R and S having only the idempotents 0 and 1 and over an (R;S)-bimodule M, we characterize all homomorphisms 's and all - derivations of T. Some of the homomorphisms are compositions of an inner homomorphism and an extended or a twisted homomorphism.
Jang Ho Chun, June Won Park
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Mathematical 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
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Triangular matrix coalgebras and applications [PDF]
Linear and Multilinear Algebra, 2013 We study generalized comatrix coalgebras and upper triangular comatrix coalgebras, which are not only a dualization but also an extension of classical generalized matrix algebras. We use these to answer several questions on Noetherian and Artinian type notions in the theory of coalgebras, and to give complete connections between these.
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Elementary triangular matrices and inverses of k-Hessenberg and triangular matrices
Special 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
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New Banach Sequence Spaces Defined by Jordan Totient Function
Communications in Advanced Mathematical Sciences, 2023 In this study, a special lower triangular matrix derived by combining Riesz matrix and Jordan totient matrix is used to construct new Banach spaces. $\alpha-$,$\beta-$,$\gamma-$duals of the resulting spaces are obtained and some matrix operators ...
Uskan Devletli, Merve Ilkhan Kara
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Triangularizing matrix polynomials
Linear Algebra and its Applications, 2013 For an algebraically closed field $\F$, we show that any matrix polynomial $P(\lambda)\in \F[\lambda]^{\nbym}$, $n\le m$, can be reduced to triangular form, preserving the degree and the finite and infinite elementary divisors. We also characterize the real matrix polynomials that are triangularizable over the real numbers and show that those that are
Taslaman, Leo +2 more
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