线性代数方程组正交化列处理法
Column Action Method with Orthogonalization for System of Linear Algebraic Equations
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摘要: 给出对任意的n×m阶相容性或不相容性线性代数方程组均有效的一种新的迭代算法.证明了算法求 解过程.在经过m次迭代后,必然求得该方程组的理论上精确的解或最小二乘解.分析了该算法的计算复杂度、 数值稳定性和内在并行性.Abstract: A new SISD iterative algorithm is put forward to effectively solve arbitrary consistent or inconsistent system of linear algebraic equations. It is proved that accurate theoretic or least square solutions of the system can be obtained throughmiterations. In addition, the computational complexity, the numerical stability and the inherent parallelism of the algorithm are discussed.
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Key words:
- linear algebra /
- system of equations /
- solution
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