Korean Journal of Mathematics
- Volume 13 Issue 2
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- Pages.275-284
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- 2005
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- 1976-8605(pISSN)
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- 2288-1433(eISSN)
HOW TO SOLVE AN INFINITE SIMULTANEOUS SYSTEM OF QUADRATIC EQUATIONS
- Chung, Phil Ung (Department of Mathematics Kangwon National University) ;
- Lin, Ying Zhen (Department of Mathematics Harbin Institute of Technology, Weihai Campus)
- Received : 2005.09.22
- Published : 2005.09.30
Abstract
In the present paper we shall introduce several operators on the reproducing kernel spaces. And using them we shall find a solution of an infinite system of quadratic equations (1.1). In particular we shall convert problem for finding an approximate solution of infinite system of quadratic equations into problem for minimizing nonnegative biquadratic polynomial.