OPTIMIZATION OF FUNCTION OF TWO VARIABLES, A NUMERICAL APPROACH
Abstract
Teaching development in maximum value of a function of two variables is reported in this paper. Based on an experience in teaching numerical method, difficulty in determining step size of steepest ascent gives an idea to covert the function into one variable, so that we can solve numerically by standar method for that function, such as Newton method. Here, we present some examples to support that development.
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References
[1] L.H. Wiryanto, “Line integral on engineering mathematics”, IOP Conf. Series: Material Science and engineering, 296, 012046, 2018, doi: 10.1088/1757-899X/296/1/012046.
[2] D Varberg, E.J. Purcell, S. E. Rigdon, “Calculus”, Pearson Practice Hall, 2007.
[3] J.H. Mathews, “Numerical methods for mathematics, science, and engineering”, Prentice Hall, Englewood Cliffs, New Jersey, 1992.
[4] Lecture note: https://www.math.utah.edu/lectures/math1210/21PostNotes.pdf
[5] Lecture note: https://mathleaks.com/study/kb/method/numerical_methods_for_equations
[6] J. Denel, J.C. Fiorot, P. Huard, “The steepest ascent method for the linear programming problem”, RAIRO Numerical Analysis, 15(3), pp.195- 200, 1981.
[7] M.S. Bazarraa, J.J. Goode, R.L. Rardin, “A finite steepest ascent algoritm for maximizing piecewise linear concave functions”, J. optimization theory and applications, 25(3), pp. 437-442, 1978.
[8] S.C. Chapra, R.P. Canale, “Numerical methods for engineers”, Mc Graw- Hill, New York, 2002
[9] J. Hoffman, “Numerical methods for engineering and scientists”, McGraw-Hill, New York, 1992.
[10] L.H. Wiryanto, “Line integral on engineering mathematics”, IOP Conf. Series: Material Science and engineering, 296, 012046, 2018, doi: 10.1088/1757-899X/296/1/012046.
[2] D Varberg, E.J. Purcell, S. E. Rigdon, “Calculus”, Pearson Practice Hall, 2007.
[3] J.H. Mathews, “Numerical methods for mathematics, science, and engineering”, Prentice Hall, Englewood Cliffs, New Jersey, 1992.
[4] Lecture note: https://www.math.utah.edu/lectures/math1210/21PostNotes.pdf
[5] Lecture note: https://mathleaks.com/study/kb/method/numerical_methods_for_equations
[6] J. Denel, J.C. Fiorot, P. Huard, “The steepest ascent method for the linear programming problem”, RAIRO Numerical Analysis, 15(3), pp.195- 200, 1981.
[7] M.S. Bazarraa, J.J. Goode, R.L. Rardin, “A finite steepest ascent algoritm for maximizing piecewise linear concave functions”, J. optimization theory and applications, 25(3), pp. 437-442, 1978.
[8] S.C. Chapra, R.P. Canale, “Numerical methods for engineers”, Mc Graw- Hill, New York, 2002
[9] J. Hoffman, “Numerical methods for engineering and scientists”, McGraw-Hill, New York, 1992.
[10] L.H. Wiryanto, “Line integral on engineering mathematics”, IOP Conf. Series: Material Science and engineering, 296, 012046, 2018, doi: 10.1088/1757-899X/296/1/012046.
Published
2024-07-01
How to Cite
WIRYANTO, Leo Hari; DJOHAN, Warsoma.
OPTIMIZATION OF FUNCTION OF TWO VARIABLES, A NUMERICAL APPROACH.
Journal of Science and Applicative Technology, [S.l.], v. 8, n. 1, p. 60-64, july 2024.
ISSN 2581-0545.
Available at: <https://journal.itera.ac.id/index.php/jsat/article/view/1855>. Date accessed: 03 july 2024.
doi: https://doi.org/10.35472/jsat.v8i1.1855.
Section
Articles
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