On The Minors Defined By A Generic Matrix
โ Scribed by Yonghao Ma
- Publisher
- Elsevier Science
- Year
- 1994
- Tongue
- English
- Weight
- 353 KB
- Volume
- 18
- Category
- Article
- ISSN
- 0747-7171
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๐ SIMILAR VOLUMES
We present a description of a partial ordering of the complex full symmetric group algebra, CSm, via generalized matrix functions, dr(A), defined on the set of all m x m complex matrices A. We show that for f: S,~ --\* C, if dr(A) = 0 for all positive semidefinite Hermitian matrices A, then f = 0. T
An order O(2 n ) algorithm for computing all the principal minors of an arbitrary n ร 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
This paper investigates the first minors M i,j of the Bรฉzout matrix used to implicitize a degreen plane rational curve P(t). It is shown that the degree n -1 curve M i,j = 0 passes through all of the singular points of P(t). Furthermore, the only additional points at which M i,j = 0 and P(t) interse