| B. Sz.-Nagy. Perturbations des transformations autoadjointes dans l'espace de Hilbert. Comment. Math. Helv., 19:347--366, 1946/47. |
....sign(A) P Gamma P Gamma = 2P Gamma I = I Gamma 2P Gamma . The matrix sign function was introduced using definition (1) by Roberts in a 1971 technical report [34] which was not published until 1980 [35] Kato [23, Page 67] reports that the resolvent integral (2) goes back to 1946 [12] and 1949 [21, 22] There is some concern about the numerical stability of numerical methods based upon the matrix sign function [2, 8, 19] In this paper, we demonstrate that evaluating the matrix sign function is a more ill conditioned computational problem than the problem of finding bases of ....
B. De-Sz. Nagy. Perturbations des transformations autoadjointes dans l'espace de Hilbert. Comment. Math. Helv., 19:347--366, 1947.
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B. Sz.-Nagy. Perturbations des transformations autoadjointes dans l'espace de Hilbert. Comment. Math. Helv., 19:347--366, 1946/47.
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