Tridiagonal Matrices; LU Factorization; Linear Systems; DETGTRI Algorithm; Thomas Algorithm - Articles

A Generalized Symbolic Thomas Algorithm (Articles)

Moawwad El-Mikkawy

Applied Mathematics Vol.3 No.4, April 27, 2012

DOI: 10.4236/am.2012.34052 6,455 Downloads 12,083 Views Citations
New Algorithms for Solving Bordered k-Tridiagonal Linear Systems (Articles)

Moawwad El-Mikkawy, Faiz Atlan

Journal of Applied Mathematics and Physics Vol.3 No.7, July 15, 2015

DOI: 10.4236/jamp.2015.37107 3,621 Downloads 4,983 Views Citations
A Generalized Symbolic Thomas Algorithm for Solving Doubly Bordered k-Tridiagonal Linear Systems (Articles)

Nermeen Shehab, Moawwad El-Mikkawy, Mohammed El-Shehawy

Journal of Applied Mathematics and Physics Vol.3 No.9, September 29, 2015

DOI: 10.4236/jamp.2015.39147 3,052 Downloads 4,287 Views Citations
On Solving Centrosymmetric Linear Systems (Articles)

Moawwad El-Mikkawy, Faiz Atlan

Applied Mathematics Vol.4 No.12A, December 20, 2013

DOI: 10.4236/am.2013.412A003 4,693 Downloads 8,156 Views Citations
This article belongs to the Special Issue on Numerical Analysis
Solving Doubly Bordered Tridiagonal Linear Systems via Partition (Articles)

Moawwad El-Mikkawy, Mohammed El-Shehawy, Nermeen Shehab

Applied Mathematics Vol.6 No.6, June 2, 2015

DOI: 10.4236/am.2015.66089 3,630 Downloads 5,085 Views Citations
Decompositions of Some Special Block Tridiagonal Matrices (Articles)

Hsin-Chu Chen

Advances in Linear Algebra & Matrix Theory Vol.11 No.2, June 10, 2021

DOI: 10.4236/alamt.2021.112005 614 Downloads 2,013 Views Citations
The Exact Formulation of the Inverse of the Tridiagonal Matrix for Solving the 1D Poisson Equation with the Finite Difference Method (Articles)

Serigne Bira Gueye

Journal of Electromagnetic Analysis and Applications Vol.6 No.10, September 25, 2014

DOI: 10.4236/jemaa.2014.610030 5,991 Downloads 8,525 Views Citations
This article belongs to the Special Issue on Electromagnetic Field Theory
BLU Factorization for Block Tridiagonal Matrices and Its Error Analysis (Articles)

Chi-Ye Wu

Advances in Linear Algebra & Matrix Theory Vol.2 No.4, December 17, 2012

DOI: 10.4236/alamt.2012.24006 5,510 Downloads 12,646 Views Citations
Solution of 1D Poisson Equation with Neumann-Dirichlet and Dirichlet-Neumann Boundary Conditions, Using the Finite Difference Method (Articles)

Serigne Bira Gueye, Kharouna Talla, Cheikh Mbow

Journal of Electromagnetic Analysis and Applications Vol.6 No.10, September 25, 2014

DOI: 10.4236/jemaa.2014.610031 15,192 Downloads 20,238 Views Citations
This article belongs to the Special Issue on Electromagnetic Field Theory
A Class of Generalized Approximate Inverse Solvers for Unsymmetric Linear Systems of Irregular Structure Based on Adaptive Algorithmic Modelling for Solving Complex Computational Problems in Three Space Dimensions (Articles)

Anastasia-Dimitra Lipitakis

Applied Mathematics Vol.7 No.11, July 12, 2016

DOI: 10.4236/am.2016.711108 1,755 Downloads 3,176 Views Citations
This article belongs to the Special Issue on Applied Iterative Methods
A New Symbolic Algorithm for Solving General Opposite-Bordered Tridiagonal Linear Systems (Articles)

Faiz Atlan, Moawwad El-Mikkawy

American Journal of Computational Mathematics Vol.5 No.3, August 31, 2015

DOI: 10.4236/ajcm.2015.53023 5,135 Downloads 6,654 Views Citations
Algorithms for Solving Linear Systems of Equations of Tridiagonal Type via Transformations (Articles)

Moawwad El-Mikkawy, Faiz Atlan

Applied Mathematics Vol.5 No.3, February 11, 2014

DOI: 10.4236/am.2014.53042 8,676 Downloads 13,999 Views Citations
Java Computer Animation for Effective Learning of the Cholesky Algorithm with Transportation Engineering Applications (Articles)

Ivan Makohon, Duc T. Nguyen, Mecit Cetin

Journal of Software Engineering and Applications Vol.9 No.10, October 11, 2016

DOI: 10.4236/jsea.2016.910032 2,095 Downloads 3,655 Views Citations
Extension of Range of MINRES-CN Algorithm (Articles)

Mojtaba Ghasemi Kamalvand

Applied Mathematics Vol.2 No.12, December 27, 2011

DOI: 10.4236/am.2011.212205 4,395 Downloads 7,633 Views Citations
Fast Finite Difference Solutions of the Three Dimensional Poisson’s Equation in Cylindrical Coordinates (Articles)

Alemayehu Shiferaw, R. C. Mittal

American Journal of Computational Mathematics Vol.3 No.4, December 20, 2013

DOI: 10.4236/ajcm.2013.34045 15,372 Downloads 21,746 Views Citations
A New Iterative Scheme for Solving the Semi Sylvester Equation (Articles)

Saeed Karimi, Fatemeh Attarzadeh

Applied Mathematics Vol.4 No.1, January 25, 2013

DOI: 10.4236/am.2013.41002 5,622 Downloads 8,371 Views Citations
Formulation of a Preconditioned Algorithm for the Conjugate Gradient Squared Method in Accordance with Its Logical Structure (Articles)

Shoji Itoh, Masaaki Sugihara

Applied Mathematics Vol.6 No.8, July 30, 2015

DOI: 10.4236/am.2015.68131 4,453 Downloads 6,979 Views Citations
Fast and Numerically Stable Approximate Solution of Trummer’s Problem (Articles)

Mohammad M. Tabanjeh

American Journal of Computational Mathematics Vol.4 No.5, November 11, 2014

DOI: 10.4236/ajcm.2014.45033 3,201 Downloads 4,696 Views Citations
New Approach for the Inversion of Structured Matrices via Newton’s Iteration (Articles)

Mohammad M. Tabanjeh

Advances in Linear Algebra & Matrix Theory Vol.5 No.1, February 10, 2015

DOI: 10.4236/alamt.2015.51001 3,550 Downloads 5,023 Views Citations
The LA = U Decomposition Method for Solving Systems of Linear Equations (Articles)

Ababu T. Tiruneh, Tesfamariam Y. Debessai, Gabriel C. Bwembya, Stanley J. Nkambule

Journal of Applied Mathematics and Physics Vol.7 No.9, September 23, 2019

DOI: 10.4236/jamp.2019.79140 1,782 Downloads 5,243 Views Citations

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