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• W2080698873 abstract "This paper derives a successive matrix squaring (SMS) algorithm to approximate the Drazin inverse which can be expressed in the form of successive squaring of a composite matrix T. Given an n by n matrix A, the study shows that the Drazin inverse of A can be computed in parallel time ranging from O(logn) to O(log2n) provided that there are enough processors to support matrix multiplication in time O(logn). The SMS algorithm is generalized to higher-order schemes, where the composite matrix is repeatedly raised to an integer power l⩾2. This form of expression leads to a simplified notation compared to that of earlier methods, we argue that there is no obvious advantage in choosing l other than 2. Our derived error bound for the approximation of AD is new." @default.
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• W2080698873 date "2000-02-01" @default.
• W2080698873 modified "2023-09-25" @default.
• W2080698873 title "Successive matrix squaring algorithm for computing the Drazin inverse" @default.
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• W2080698873 doi "https://doi.org/10.1016/s0096-3003(98)10118-2" @default.
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