Sains Malaysiana 31: 117-134 (2002)                                                                           Pengajian Kuantitatif /

Quantitative Studies

On a Minimization Technique Using Interval Mathematics

Ishak Ahmad

Pusat Pengajian Sains Kimia dan Teknologi Makanan

Fakulti Sains dan Teknologi

Universiti Kebangsaan Malaysia

43600 UKM Bangi, Selangor, Malaysia

ABSTRACT

In this paper we adapt to the interval Newton method the transformation-invariant descent-direction strategy which can be used to address the problem of minimizing nearly-singular systems of equations. We show that the modified interval Newton method performed better than the classic interval Newton method.

ABSTRAK

Dalam makalah ini kami sesuaikan kepada kaedah selang Newton strategi penurunan-arah transformasi-tak varian yang boleh digunakan untuk menangani masalah peminimuman suatu sistem persamaan yang hampir singular.  Ditunjukkan bahawa kaedah ubahsuai selang Newton adalah lebih baik daripada kaedah selang Newton klasik.

RUJUKAN/REFERENCES

Millar, C.G. 1993.  Global Optimization Using Interval Arithmetic. Project Report, Dept. of Mathematics and Statistics, University of Edinburgh.

Moore, R.E. 1966.  Interval Analysis. Prentice-Hall: New Jersey.

Trangenstein, J.A. 1987. Customized minimization techniques for phase equilibrium computations in reservoir simulation. Chemical Engineering Sciences 42(12): 2847-63.