列主元消去

列主元素消去法是为控制舍入误差而提出来的一种算法,在Gauss消去法的消元过程中,若出现a=0,则消元无法进行,即使其不为0,但很小,把它作为除数,就会导致其他元素量级的巨大增长和舍入误差的扩散,最后使计算结果不可靠.使用列主元素消去法计算,基本上能控制舍入误差的影响,并且选主元素比较方便.-Out the main elements of the main element elimination column elimination is to control the rounding error and put forward an algorithm, the Gauss elimination process of elimination, if the emergence of a = 0, then the elimination is not possible, even if it is not 0 , but very small, put it as the divisor, it will lead to other elements of the order of the tremendous growth and proliferation of rounding errors, the final result is not reliable results using the main elements of the column elimination method, has been able to control the rounding errors effects, and more convenient to choose the main elements.