IMPROVING PRECONDITIONED GAUSS-SEIDEL ITERATIVE METHOD FOR L-MATRICES
Keywords:
Gauss-Seidel method, L--matrix, iteration matrix, convergence, spectral radiusAbstract
The Gauss-Seidel is a well-known iterative method for solving the linear system Ax = b. Convergence of this method is guaranteed for linear systems whose coefficient matrix is strictly or irreducibly diagonally dominant, Hermitian positive definite and invertible H -matrix. In this current work, a preconditioned version of the Gauss-Seidel method is used to accelerate the convergence of this iterative method towards the solution of linear system under mild conditions imposed on A . Convergence theorems on preconditioned Gauss-Seidel iterative method are advanced and proved. The superiority of Preconditioned Gauss-Seidel method is demonstrated by solving some numerical examples.
References
Abbas, I. I. (2012). An Assessment of Land Use / Land Cover Changes in a Section of Niger Delta , Nigeria, 2(6), 137–143. https://doi.org/10.5923/j.fs.20120206.02
Akor, Y. J., Ukamaka, I. I., & Awucha, I. E. (2018). Interpretation of aeromagnetic data over some parts of Mambilla Plateau , Taraba State, 13(4), 33–42. https://doi.org/10.5897/IJPS2017.4695
Basommi, P. L., Guan, Q., Cheng, D., & Access, O. (2015). Exploring Land use and Land cover change in the mining areas of Wa East District , Ghana using Satellite Imagery, 618–626. https://doi.org/10.1515/geo-2015-0058
Cheruto, M. C., Kauti, M. K., Kisangau, P. D., & Kariuki, P. (2016). Journal of Remote Sensing & GIS Assessment of Land Use and Land Cover Change Using GIS and Remote Sensing Techniques : A Case Study of Makueni County , Kenya, 5(4). https://doi.org/10.4175/2469-4134.1000175
Daniel. C., John, O., & Alaga, A. (2016). Analysis of Land Use Land Cover Change in Ikeja , Lagose State . Nigeria Using Remote Sensing and Gis Techniques, 5(10), 462–472.
Garba LC, Oyieke FA, Owino EA, Mwansat GS, Houmsou RS, C. D. and W. B. (2018). Larval habitats of anopheline vectors of malaria on the highlands of Mambilla Plateau Taraba State North East Nigeria, 5(1), 96–100.
Gasu, M. B. (2018). The implications of land use land cover change in Ede wetlands , Southwestern , Nigeria on global climate change, 7(9), 2256–2275.
Gbenga, O. E. (2008). Remote Sensing for Agricultural Land Use Changes and Sustainability Monitoring in Sudan.
Hadeel, A., Jabbar, M., & Chen, X. (2011). Remote sensing and GIS application in the detection of environmental Remote sensing and GIS application in the detection of environmental degradation indicators, (March). https://doi.org/10.1007/s11806-011-0441-z
Igwe, E. A., Yakubu, J. A., & Ileagu, U. (2018). Investigation of Mambila Plateau In North Central Part of Nigeria For Potential Minerals Using Aeromagnetic Method, 6(2), 10–22. https://doi.org/10.9790/0990-0602011022
Jerome, I., Chapman, H., Iyiola, T., Calistus, A., & Goldson, S. (2011). 1 guild of frugivores on three fruit-producing tree species (, 3(2), 1–11.
Koruyan, K., Deliormanli, A. H., Karaca, Z., Momayez, M., Lu, H., & Yalçin, E. (2012). Remote sensing in management of mining land and proximate habitat, 112(July), 667–672.
Kumar, A., & Pandey, A. C. (2013). Evaluating Impact of Coal Mining Activity on Landuse / Landcover Using Temporal Satellite Images in South Karanpura Coalfields and, 2(1), 183–197.
Mayeem, A. (2016). The Impact of Surface Gold Mining on Land Use/ Land Cover Types in the Birim North District.
Merem, E. C., Twumasi, Y., Wesley, J., Alsarari, M., Fageir, S., Crisler, M., … Olagbegi, D. (2019). Analyzing Land Use and Change Detection in Eastern Nigeria Using GIS and Remote Sensing, 8(2), 103–117. https://doi.org/10.5923/j.ajgis.20190802.06
Omisore, B. O., & Olorunfemi, M. O. (2016). Geoelectric investigation of a proposed Mambilla Plateau Airport Runway , Taraba State , Nigeria, 243–246.
Oruonye, E., Ahmed, Y. and Ejati. D. (2016). Prospect of Tourism Development on the Mambilla Plateau : Lessons From Obudu, 05(01), 87–97.
Oruonye, E. D. (2015a). Impact Of Climate Variability On Rural Livelihood On The Nigerian Mambilla Plateau, 2(3), 89–100.
Oruonye, E. D. (2015b). Socio-Economic Impact of Artisanal Mining of Blue Sapphire on the Mambilla Plateau, 5(1), 54–61.
Padmanaban, R., Bhowmik, A. K., & Cabral, P. (2017). A Remote Sensing Approach to Environmental Monitoring in a Reclaimed Mine Area. https://doi.org/10.3390/ijgi6120401
Pensuk, A., & Shrestha, R. P. (2007). Effect of Land Use Change on Rural Livelihoods : A Case Study of, 1–6.
Salako, G., Olalubi, O., Sawyerr, H., Howe, G., Adebayo, A., & Adio, A. (2016). Using Multi Techniques Analysis in Biogeoclimatic Ecosystem Classification and Mapping of Mambilla Plateau in Taraba State Nigeria, (June), 412–426.
Samanta, P., Technical, S., Manager, P., & Consultants, T. (2015). Impact Assessment and Changes Analysis of Land Use / Land Cover Due to Open Cast Coal Mining Activity : A Case Study of Raniganj Coal Field Area, 4(5), 17–27.
Thia, J. A. (2014). The Plight of Trees in Disturbed Forest : Conservation of Montane Trees , Nigeria.
Toh, F. A., Angwafo, T. E., Ndam, L. M., & Antoine, M. Z. (2018). The Socio-Economic Impact of Land Use and Land Cover Change on the Inhabitants of Mount Bambouto Caldera of the Western Highlands of Cameroon, 25–45. https://doi.org/10.4236/ars.2018.71003
Water, M., Charou, E., Stefouli, M., Exploration, M., Dimitrakopoulos, D. A., Corporation, P. P., & Vasileiou, E. (2010). Using Remote Sensing to Assess Impact of Mining Activities on Land and Water Resources, (April). https://doi.org/10.1007/s10230-010-0098-0
Yusuf, Y. A., Pradhan, B., & Idrees, M. O. (2014). Spatio-temporal Assessment of Urban Heat Island Effects in Kuala Lumpur Metropolitan City Using Landsat Images. https://doi.org/10.1007/s12524-013-0342-8
Published
How to Cite
Issue
Section
FUDMA Journal of Sciences
