The Quarter-Sweep Geometric Mean Method for Solving Second Kind Linear Fredholm Integral Equations
Bulletin of the Malaysian Mathematical Society, Tome 36 (2013) no. 4
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Solving large linear systems is a fundamental problem in large scale scientific and engineering computations. In this paper, the formulation and implementation of the Quarter-Sweep Geometric Mean (QSGM) iterative method for solving large dense nonsymmetric linear systems associated with numerical solution of second kind linear Fredholm integral equations are explained. Furthermore, an analysis of computational complexity and numerical results by solving test problems are also included to verify the performance of the method.
Classification :
45A05, 45B05, 65D30, 65F10, 65Y20
@article{BMMS_2013_36_4_a12,
author = {Mohana Sundaram Muthuvalu and Jumat Sulaiman},
title = {The {Quarter-Sweep} {Geometric} {Mean} {Method} for {Solving} {Second} {Kind} {Linear} {Fredholm} {Integral} {Equations}},
journal = {Bulletin of the Malaysian Mathematical Society},
year = {2013},
volume = {36},
number = {4},
url = {http://geodesic.mathdoc.fr/item/BMMS_2013_36_4_a12/}
}
TY - JOUR AU - Mohana Sundaram Muthuvalu AU - Jumat Sulaiman TI - The Quarter-Sweep Geometric Mean Method for Solving Second Kind Linear Fredholm Integral Equations JO - Bulletin of the Malaysian Mathematical Society PY - 2013 VL - 36 IS - 4 UR - http://geodesic.mathdoc.fr/item/BMMS_2013_36_4_a12/ ID - BMMS_2013_36_4_a12 ER -
%0 Journal Article %A Mohana Sundaram Muthuvalu %A Jumat Sulaiman %T The Quarter-Sweep Geometric Mean Method for Solving Second Kind Linear Fredholm Integral Equations %J Bulletin of the Malaysian Mathematical Society %D 2013 %V 36 %N 4 %U http://geodesic.mathdoc.fr/item/BMMS_2013_36_4_a12/ %F BMMS_2013_36_4_a12
Mohana Sundaram Muthuvalu; Jumat Sulaiman. The Quarter-Sweep Geometric Mean Method for Solving Second Kind Linear Fredholm Integral Equations. Bulletin of the Malaysian Mathematical Society, Tome 36 (2013) no. 4. http://geodesic.mathdoc.fr/item/BMMS_2013_36_4_a12/