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天文大地网与空间网联合平差中用共轭梯度法解算高阶法方程的某些策略
Some Strategy on Solving High Order Normal Equation for Combined Adjustment of Astro geodetic and Space Networks by Using Conjugate Gradient Method
【摘要】 本文研究了用共轭梯度法解算天文大地网与空间网联合平差中 20 万阶法方程的有关问题,提出了“系数调整策略”和“平差与求逆既分又合的策略”。利用模拟的天文大地网(47 057点)和空间网(476 点)在 P I I/233 微机上解算 14.1 万阶方程组共迭代 4 993 次(收敛至 1×10- 18 角秒),花费机时 28 分 47 秒,与未进行系数调整相比,功效提高 40 多倍。
【Abstract】 This paper deals with the solution for 200 000 order normal equations in combined adjustment of astro geodetic and space networks by using conjugate gradient method, puts forward a scheme of adjusting the coefficients and a strategy of separation as well as mergence between the adjustment and inversion. It is demonstrated that the solution for 141 000 order normal equations for a simulated astro geodetic network (47 057 points) and a space one (476 points) iterates 4 993 times to converge to 1×10 -18 second, taking 28 min and 47 seconds, on a PII/233 computer, showing over 40 times more efficiency, as compared with the coefficients unadjusted.
【Key words】 conjugate gradient; a conjugate orthogonality; circulatory iteration;
- 【文献出处】 测绘学报 ,ACTA GEODAETICA ET CARTOGRAPHIC SINICA , 编辑部邮箱 ,1999年03期
- 【分类号】P207
- 【被引频次】3
- 【下载频次】59