CAJ | 학술논문

在分析不精确雅可比牛顿法的基础上，进一步研究了不精确雅可比矩阵在精确解附近奇异的求解方法。利用雅可比矩阵与函数自身，在不增加新的计算量前提下，得到改进的求解非线性方程组的不精确雅可比牛顿算法。数值结果表明，改进后算法与原不精确雅可比牛顿法具有相同的计算效率，而且在使用上更为方便，有效。
재분석불정학아가비우돈법적기출상，진일보연구료불정학아가비구진재정학해부근기이적구해방법。이용아가비구진여함수자신，재불증가신적계산량전제하，득도개진적구해비선성방정조적불정학아가비우돈산법。수치결과표명，개진후산법여원불정학아가비우돈법구유상동적계산효솔，이차재사용상경위방편，유효。
This paper presents a new modified Incomplete Jacobian Newton(IJN)method for nonlinear equations whose incomplete Jacobian matrix is singular in a neighborhood of exact solution. This method uses a part of elements of the Jacobian matrix and equations function to obtain the next iteration point without additional computational capacity. The numerical tests show that the modified IJN method has the same calculation efficiency with original IJN method, but more convenience and effective.