A study on quaternion blockquasi-tridiagonal systems (original) (raw)

On the solutions of tridiagonal linear systems

Yousry Hanna

Applied Mathematics and Computation, 2007

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A fast method for solving a block tridiagonal quasi-Toeplitz linear system

Yulin Zhang

Portugaliae Mathematica, 2020

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On periodic block-tridiagonal matrices

Francesco Romani

Linear Algebra and its Applications, 1992

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ANALYTICAL INVERSE FOR THE SYMMETRIC CIRCULANT TRIDIAGONAL MATRIX

Seyyed Mostafa Mousavi Janbeh Sarayi

Far East Journal of Applied Mathematics, 2018

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Inversion of general tridiagonal matrices

AbdelRahman A B D E L R A H M A N Karawia

Applied Mathematics Letters, 2006

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On the inverses of general tridiagonal matrices

Ting-zhu Huang

Linear Algebra and Its Applications, 2010

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Exact analytical formulations for the of symmetric circulant tridiagonal matrices

Saman Tavana

2017

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Parallel solution of block tridiagonal linear systems

Bruno Codenotti

Linear Algebra and its Applications, 1988

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A cyclic block-tridiagonal solver

Milan Batista

Advances in Engineering Software, 2006

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Determinants of block tridiagonal matrices

Luca Guido Molinari

Linear Algebra and its Applications, 2008

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On twisted factorizations of block tridiagonal matrices

Wilfried Gansterer

2010

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Generalized Quaternions and Matrix Algebra

Ümit Ziya Savcı

Fen ve mühendislik bilimleri dergisi, 2023

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Explicit determinantal formulas for solutions to the generalized Sylvester quaternion matrix equation and its special cases

Ivan Kyrchei

arXiv: Rings and Algebras, 2018

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A Breakdown Free Numerical Algorithm for Inverting General Tridiagonal Matrices

AbdelRahman A B D E L R A H M A N Karawia

arXiv (Cornell University), 2022

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A fast numerical algorithm for the inverse of a tridiagonal and pentadiagonal matrix

Mohamed Elouafi

Applied Mathematics and Computation, 2008

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Determinantal Representations of Solutions and Hermitian Solutions to Some System of Two-Sided Quaternion Matrix Equations

Ivan Kyrchei

Journal of Mathematics

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An algorithm for the numerical inversion of a tridiagonal matrix

Shashi Kumar

Communications in Numerical Methods in Engineering, 1993

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Inversion of Tridiagonal Matrices Using the Dunford-Taylor's Integral

Diego Caratelli

2021

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An inversion algorithm for general tridiagonal matrix

Ting-zhu Huang

Applied Mathematics and Mechanics, 2009

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On Block Matrices Associated with Discrete Trigonometric Transforms and Arising in Wave Propagation Theory

Nikolaos L Tsitsas

Journal of Computational Mathematics, 2010

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On the Bicomplex Generalized Tribonacci Quaternions

Paula Catarino

Mathematics, 2019

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Least-Norm of the General Solution to Some System of Quaternion Matrix Equations and Its Determinantal Representations

Ivan Kyrchei

Abstract and Applied Analysis

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The use of the factorization of five-diagonal matrices by tridiagonal Toeplitz matrices

Luciano Lopez

1998

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Analytic determinants and inverses of Toeplitz and Hankel tridiagonal matrices with perturbed columns

Zhaolin Jiang

Special Matrices

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A Low-cost and Numerically Stable Algorithm to Solve Tridiagonal Systems via Quasiseparable Matrices

Sirani M. Perera

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Systems of four coupled one sided Sylvester-type real quaternion matrix equations and their applications

Qing-Wen Wang

arXiv: Rings and Algebras, 2017

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A Note on the Use of the Woodbury Formula To Solve Cyclic Block Tri-Diagonal and Cyclic Block Penta-diagonal Linear Systems of Equations

Abdel Rahman Karawia

arXiv: Mathematical Physics, 2008

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The invertibility of a class of tridiagonal matrices

Luciano Lopez

1992

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On the powers and the inverse of a tridiagonal matrix

Mohamed Elouafi

Applied Mathematics and Computation, 2009

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Formulas for the Drazin inverse of special block matrices

Juan Robles

Applied Mathematics and Computation, 2006

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Inverse tridiagonal Z-matrices

Michael Tsatsomeros

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