A Generalized Symbolic Thomas Algorithm

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Applied Mathematics

ISSN Print: 2152-7385
ISSN Online: 2152-7393
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E-mail: am@scirp.org

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"A Generalized Symbolic Thomas Algorithm"
written by Moawwad El-Mikkawy,
published by Applied Mathematics, Vol.3 No.4, 2012

has been cited by the following article(s):

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[1]	Inverting a k-heptadiagonal matrix based on Doolitle LU factorization
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[4]	A finite difference method to analyze heat and mass transfer in kerosene based γ-oxide nanofluid for cooling applications
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[5]	Generalized Sherman–Morrison–Woodbury formula based algorithm for the inverses of opposite‑bordered tridiagonal matrices
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[6]	Ninety years of k-tridiagonal matrices
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[7]	Generalized Sherman–Morrison–Woodbury formula based algorithm for the inverses of opposite-bordered tridiagonal matrices
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[8]	Quantum transport properties of exotic bilayer-graphene-based devices
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[9]	A breakdown-free algorithm for computing the determinants of periodic tridiagonal matrices
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[10]	Performance analysis of effective symbolic methods for solving band matrix SLAEs
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[11]	New algorithms for numerically solving a class of bordered tridiagonal systems of linear equations
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[12]	Performance Analysis of Effective Methods for Solving Band Matrix SLAEs after Parabolic Nonlinear PDEs
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[13]	Stability of a finite volume element method for the time‐fractional advection‐diffusion equation
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[14]	Effective Methods for Solving Band SLEs after Parabolic Nonlinear PDEs
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[15]	Symbolic Algorithm for Solving SLAEs with Heptadiagonal Coefficient Matrices
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[16]	A Cost-Efficient Numerical Algorithm for Evaluating the Determinant of a Quasi-Tridiagonal Matrix
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[17]	Numerical algorithms for the determinant evaluation of general Hessenberg matrices
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[18]	The Estimate for the Condition Numbers of aSymmetry Tridiagonal Toeplitz Matrix
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[19]	A Fast and Reliable Algorithm for Evaluating -th Order -Tridiagonal Determinants
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[20]	On Tensor product decomposition of k-tridiagonal toeplitz matrices
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[21]	ON TENSOR PRODUCT DECOMPOSITION OF -TRIDIAGONAL TOEPLITZ MATRICES
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[22]	A new recursive algorithm for inverting general k-tridiagonal matrices
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[23]	On the inverse and determinant of general bordered tridiagonal matrices
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[24]	A generalized symbolic Thomas algorithm for the solution of opposite-bordered tridiagonal linear systems
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[25]	Solving Doubly Bordered Tridiagonal Linear Systems via Partition
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[26]	A Generalized Symbolic Thomas Algorithm for Solving Doubly Bordered k-Tridiagonal Linear Systems
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[27]	On decomposition of k-tridiagonal ℓ-Toeplitz matrices and its applications
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[28]	New Algorithms for Solving Bordered k-Tridiagonal Linear Systems
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[29]	A Fast and Reliable Algorithm for Evaluating n-th Order k-Tridiagonal Determinants
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[30]	Symbolic algorithms for the inverses of general k-tridiagonal matrices
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[31]	APPLICATION OF RUNGE-KUTT METHOD AND RUNNING TRI-DIAGONAL MATRIX FOR OPEN HELICOIDAL SHELL CALCULATION
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[32]	ПРИМЕНЕНИЕ МЕТОДА РУНГЕ-КУТТА И МЕТОДА ПРОГОНКИ К РАСЧЕТУ ДЛИННОГО ПОЛОГОГО ТОРСА-ГЕЛИКОИДА
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[33]	A note on a fast breakdown-free algorithm for computing the determinants and the permanents of< i> k-tridiagonal matrices
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[34]	New Algorithms for Solving k-Tridiagonal Linear Systems
	British Journal of Mathematics & Computer Science, 2014

[35]	Algorithms for Solving Doubly Bordered Tridiagonal Linear Systems
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[36]	A symbolic algorithm for periodic tridiagonal systems of equations
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[37]	A novel algorithm for inverting a general k-tridiagonal matrix
	Applied Mathematics Letters, 2014

[38]	Algorithms for Solving Linear Systems of Equations of Tridiagonal Type via Transformations
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[39]	Inversion of k-tridiagonal matrices with Toeplitz structure
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[40]	On Solving Centrosymmetric Linear Systems
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[1]	Inverting a k-heptadiagonal matrix based on Doolitle LU factorization Applied Mathematics-A Journal of Chinese Universities, 2022 DOI:10.1007/s11766-022-3763-8

[2]	A finite difference method to analyze heat and mass transfer in kerosene based γ-oxide nanofluid for cooling applications Physica Scripta, 2021 DOI:10.1088/1402-4896/ac098a

[3]	Generalized Sherman–Morrison–Woodbury formula based algorithm for the inverses of opposite-bordered tridiagonal matrices Journal of Mathematical Chemistry, 2020 DOI:10.1007/s10910-020-01138-x

[4]	Advanced Computing in Industrial Mathematics Studies in Computational Intelligence, 2019 DOI:10.1007/978-3-319-97277-0_33

[5]	A breakdown-free algorithm for computing the determinants of periodic tridiagonal matrices Numerical Algorithms, 2019 DOI:10.1007/s11075-019-00675-0

[6]	New algorithms for numerically solving a class of bordered tridiagonal systems of linear equations Computers & Mathematics with Applications, 2019 DOI:10.1016/j.camwa.2019.02.028

[7]	Performance Analysis of Effective Symbolic Methods for Solving Band Matrix SLAEs EPJ Web of Conferences, 2019 DOI:10.1051/epjconf/201921405004

[8]	Stability of a finite volume element method for the time-fractional advection-diffusion equation Numerical Methods for Partial Differential Equations, 2018 DOI:10.1002/num.22243

[9]	Effective Methods for Solving Band SLEs after Parabolic Nonlinear PDEs EPJ Web of Conferences, 2018 DOI:10.1051/epjconf/201817707004

[10]	A Cost-Efficient Numerical Algorithm for Evaluating the Determinant of a Quasi-Tridiagonal Matrix 2018 5th International Conference on Systems and Informatics (ICSAI), 2018 DOI:10.1109/ICSAI.2018.8599353

[11]	Stability of a finite volume element method for the time‐fractional advection‐diffusion equation Numerical Methods for Partial Differential Equations, 2018 DOI:10.1002/num.22243

[12]	Numerical algorithms for the determinant evaluation of general Hessenberg matrices Journal of Mathematical Chemistry, 2017 DOI:10.1007/s10910-017-0794-0

[13]	New Algorithms for Solving Bordered k-Tridiagonal Linear Systems Journal of Applied Mathematics and Physics, 2015 DOI:10.4236/jamp.2015.37107

[14]	A Generalized Symbolic Thomas Algorithm for Solving Doubly Bordered k-Tridiagonal Linear Systems Journal of Applied Mathematics and Physics, 2015 DOI:10.4236/jamp.2015.39147

[15]	Symbolic algorithms for the inverses of general k-tridiagonal matrices Computers & Mathematics with Applications, 2015 DOI:10.1016/j.camwa.2015.10.018

[16]	On decomposition of k-tridiagonal ℓ-Toeplitz matrices and its applications Special Matrices, 2015 DOI:10.1515/spma-2015-0019

[17]	A new recursive algorithm for inverting general k-tridiagonal matrices Applied Mathematics Letters, 2015 DOI:10.1016/j.aml.2014.12.018

[18]	On the inverse and determinant of general bordered tridiagonal matrices Computers & Mathematics with Applications, 2015 DOI:10.1016/j.camwa.2015.01.012

[19]	Solving Doubly Bordered Tridiagonal Linear Systems via Partition Applied Mathematics, 2015 DOI:10.4236/am.2015.66089

[20]	A generalized symbolic Thomas algorithm for the solution of opposite-bordered tridiagonal linear systems Journal of Computational and Applied Mathematics, 2015 DOI:10.1016/j.cam.2015.05.026

[21]	A novel algorithm for inverting a general k-tridiagonal matrix Applied Mathematics Letters, 2014 DOI:10.1016/j.aml.2014.02.015

[22]	A symbolic algorithm for periodic tridiagonal systems of equations Journal of Mathematical Chemistry, 2014 DOI:10.1007/s10910-014-0378-1

[23]	A note on a fast breakdown-free algorithm for computing the determinants and the permanents of k-tridiagonal matrices Applied Mathematics and Computation, 2014 DOI:10.1016/j.amc.2014.10.040

[24]	Algorithms for Solving Linear Systems of Equations of Tridiagonal Type via Transformations Applied Mathematics, 2014 DOI:10.4236/am.2014.53042

[25]	On Solving Centrosymmetric Linear Systems Applied Mathematics, 2013 DOI:10.4236/am.2013.412A003

[26]	Inversion of k-tridiagonal matrices with Toeplitz structure Computers & Mathematics with Applications, 2013 DOI:10.1016/j.camwa.2012.11.001

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