改进 发表于 2025-3-23 12:40:01
Complete Algorithm for Unitary Hessenberg MatricesWe study the divide and conquer method for computing the eigenstructure of unitary upper Hessenberg matrices using their quasiseparable representations. In doing so we use essentially the fact that in Theorem 25.1 we proved the results using .. × .. matrices α and β which may be different from the identity.都相信我的话 发表于 2025-3-23 14:41:34
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The Reduction to Hessenberg FormOne of the methods used in the solution of the eigenvalue problem is to reduce at first a matrix to a unitarily similar one in the upper Hessenberg form. The subsequent QR iterations for an upper Hessenberg matrix can be performed in an efficient way.Intercept 发表于 2025-3-24 00:31:52
The Implicit QR Iteration Method for Eigenvalues of Upper Hessenberg MatricesIn this chapter we consider the implicit QR iteration method for upper Hessenberg matrices obtained via the algorithms presented in the previous chapter. The first section is a general description of the QR iteration method for the cases of the single shift and the double shift.gerrymander 发表于 2025-3-24 04:29:06
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Implicit Methods with CompressionHere we apply the method presented in Section §31.1 to matrices from the class ...helper-T-cells 发表于 2025-3-24 18:46:42
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