In this general solution, non-linear approaches relied on Gaussian filters were applied locally onto solving T matrix to guarantee both local convergence and the avoidance of parameter estimation, continuously.

想表达是：该种解法，将基于某种滤波器的非线性类方法局部地用于T矩阵求解上，这种求解即保证局部的连续收敛性，又可以避免连续的参数估计计算。
上下文意思：是强调，相对连续的参数估计，用了这种非线性的解法，实现了离散的参数估计，即保证了局部连续收敛性，又节省了由于连续参数估计造成的很多计算。
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