In this paper,we present the formula of a solution for a class of recurrence relations with two indices by applying iteration and induction according to the principle of solving algebraic equa-tions. It provides a con...In this paper,we present the formula of a solution for a class of recurrence relations with two indices by applying iteration and induction according to the principle of solving algebraic equa-tions. It provides a concrete model to solve the concerned prob-lems with modern computing tools.展开更多
It is very difficult, sometimes impossible, to get a formula solution of recurrence relation, even for the case of homogeneous recurrence with one indite. In this paper, according to the principle of soluting algebrai...It is very difficult, sometimes impossible, to get a formula solution of recurrence relation, even for the case of homogeneous recurrence with one indite. In this paper, according to the principle of soluting algebraic equation, we present the formula of solution for a class of recurrnce relations with two indices by appling iteration and induction. It provides a concrete model to solve the concerning problems with modern computing tools.展开更多
In this paper, the minimal residual （MRES） method for solving nonsymmetric equation systems was improved, the recurrence relation was deduced between the approximate solutions of the linear equation system Ax = b, a...In this paper, the minimal residual （MRES） method for solving nonsymmetric equation systems was improved, the recurrence relation was deduced between the approximate solutions of the linear equation system Ax = b, and a more effective method was presented, which can reduce the operational count and the storage.展开更多
1985年,乐茂华在《数学学报》第三期上研讨过只含一个参数的递推式的解的结构。本文将研究依赖于两个参数的递推关系的解,得到了具有两个参数,而且 p 可为等于或大于2的任意整数,n 可为任意非负整数的递推关系(A)的一般解的一个明显的...1985年,乐茂华在《数学学报》第三期上研讨过只含一个参数的递推式的解的结构。本文将研究依赖于两个参数的递推关系的解,得到了具有两个参数,而且 p 可为等于或大于2的任意整数,n 可为任意非负整数的递推关系(A)的一般解的一个明显的表达形式,使得上述结果成为其一个特殊情况。展开更多
基金Supported by the National Natural Science Foundation of China (70871094)
文摘In this paper,we present the formula of a solution for a class of recurrence relations with two indices by applying iteration and induction according to the principle of solving algebraic equa-tions. It provides a concrete model to solve the concerned prob-lems with modern computing tools.
基金Supported by the National Natural Science Foun-dation of China (10071059)
文摘It is very difficult, sometimes impossible, to get a formula solution of recurrence relation, even for the case of homogeneous recurrence with one indite. In this paper, according to the principle of soluting algebraic equation, we present the formula of solution for a class of recurrnce relations with two indices by appling iteration and induction. It provides a concrete model to solve the concerning problems with modern computing tools.
文摘In this paper, the minimal residual （MRES） method for solving nonsymmetric equation systems was improved, the recurrence relation was deduced between the approximate solutions of the linear equation system Ax = b, and a more effective method was presented, which can reduce the operational count and the storage.
