由于决定方程组是超定的、线性的或非线性的偏微分方程组，完全求解它们非常困难。
Because the determining systems are a linear or nonlinear overdetermined PDEs, it is very hard to solve them completely.
只有在极特殊的情况下超定方程组才有精确解，一般情况下都是求超定方程组在某种意义下的近似解。
Only in under very special circumstance, an overdetermined systems have accurate solutions and general an approximated solution is often found in some determination of the overdetermined system.
另一类变量与向量函数呈非线性关系。 对于后一类变量，用弃舍随机方法先给出位置初值，然后将问题化为线性最小二乘问题，直接解超定方程组。
The overdetermined equations can be solved directly by using the rejection method to give the initial value of the position first and then converting the problem into a linear—square one.
第五章给出了求解超定线性丢番图方程组和不等式组的修正abs算法。
Chapter five presents the modified ABS algorithms for solving linear overdetermined linear Diophantine equations and inequations.
重力场恢复最终归结为超定线性方程组的求解问题。
The problem of gravity field recovery can be attributed to the solution of over determined system of equations.
采用弯曲射线追踪算法计算走时，分别用最小二乘QR分解算法与代数重建技术就恰定方程组、超定方程组与欠定方程组进行了成像计算。
LSQR and ART algorithms are applied separately to calculate tomography for the determined system of equation, overdetermined system of equation and underdetermined system of equation.
得出了超定方程组及其矩阵形式，并给出了计算机程序框图和实验计算实例。
An overdetermined set of simultaneous equations in matrix form is introduced. The flow diagram of computer program and an experimental example are presented.
得出了超定方程组及其矩阵形式，并给出了计算机程序框图和实验计算实例。
An overdetermined set of simultaneous equations in matrix form is introduced. The flow diagram of computer program and an experimental example are presented.
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