论文信息 - Perturbation Bounds of Unitary and Subunitary Polar Factors

Perturbation Bounds of Unitary and Subunitary Polar Factors

In this paper, we present some new perturbation bounds for (generalized) polar decompositions under the Frobenius norm for both complex and real matrices. For subunitary polar factors, we show that our bounds always improve the existing bounds. Based on some interesting properties of the matrix equation W+W*=W* W, some new bounds involving both the Frobenius norm and the spectral norm of the perturbation are given. The optimality of bounds is discussed.

Weiwei Sun | Wen Li | Wen Li | Weiwei Sun

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