A fast method for computing the principal nth roots of complex matrices
β Scribed by Yih T. Tsay; Leang S. Shieh; Jason S.H. Tsai
- Book ID
- 107825115
- Publisher
- Elsevier Science
- Year
- 1986
- Tongue
- English
- Weight
- 698 KB
- Volume
- 76
- Category
- Article
- ISSN
- 0024-3795
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π SIMILAR VOLUMES
In this paper higher order convergent methods for computing square roots of nonsingular complex matrices are derived. These methods are globally convergent and are based on eigenvalue shifting and powering. Specifically, it is shown for each positive integer r G 2, a convergent method of order r can
An order O(2 n ) algorithm for computing all the principal minors of an arbitrary n Γ n complex matrix is motivated and presented, offering an improvement by a factor of n 3 over direct computation. The algorithm uses recursive Schur complementation and submatrix extraction, storing the answer in a