THE range of usage of the quadrature formulae specially designed for the integrals of sometypes can often be extended by the variable transformation. For example, in a quadrature for-mula computing an integral with th...THE range of usage of the quadrature formulae specially designed for the integrals of sometypes can often be extended by the variable transformation. For example, in a quadrature for-mula computing an integral with the weight function g:展开更多
SINCE there are many difficulties in finding a single root of a polynomial, it becomes moreand more important for parallel iterations to determine all roots simultaneously. Among theproposed methods, the iterative fam...SINCE there are many difficulties in finding a single root of a polynomial, it becomes moreand more important for parallel iterations to determine all roots simultaneously. Among theproposed methods, the iterative fami1y produced by paralleling the iterative family of Halleyusing Bell’s polynomial appears the most systematic and richest. In fact the paper becomesthe main contents of the monograph.展开更多
文摘THE range of usage of the quadrature formulae specially designed for the integrals of sometypes can often be extended by the variable transformation. For example, in a quadrature for-mula computing an integral with the weight function g:
文摘SINCE there are many difficulties in finding a single root of a polynomial, it becomes moreand more important for parallel iterations to determine all roots simultaneously. Among theproposed methods, the iterative fami1y produced by paralleling the iterative family of Halleyusing Bell’s polynomial appears the most systematic and richest. In fact the paper becomesthe main contents of the monograph.
