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Relations between the minors of a generic matrix

✍ Scribed by Bruns, Winfried; Conca, Aldo; Varbaro, Matteo


Book ID
120551482
Publisher
Elsevier Science
Year
2013
Tongue
English
Weight
488 KB
Volume
244
Category
Article
ISSN
0001-8708

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Principal minors, Part I: A method for c
✍ Kent Griffin; Michael J. Tsatsomeros πŸ“‚ Article πŸ“… 2006 πŸ› Elsevier Science 🌐 English βš– 180 KB

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