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Matrix_Pencil

于 2010-06-15 发布 文件大小:1KB
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  出一种实现不同维间估计结果自动配对的二维频率估计算法。首先把二维频率估计问题转化成两个矩阵束的特征值问题。根据矩阵束的特征求出两个矩阵束的公共特征向量,并以此为基础同时求出两个矩阵束的特征值。算法估计误差与现有算法相近,但解决了现有算法普遍存在的配对难题。 (Matrix pencils play an important role in numerical linear algebra. The problem of finding the eigenvalues of a pencil is called the generalized eigenvalue problem. The most popular algorithm for this task is the QZ algorithm, which is an implicit version of the QR algorithm to solve the associated eigenvalue problem B − 1Ax = λx without forming explicitly the matrix B − 1A (which could be impossible or ill-conditioned if B is singular or near-singular) )

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