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Feedback invariants of matrices with prescribed rows

โœ Scribed by Marija Dodig

Publisher
Elsevier Science
Year
2005
Tongue
English
Weight
397 KB
Volume
405
Category
Article
ISSN
0024-3795

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Let e P p nร‚n , f P p nร‚t , where F is an arbitrary ยฎeld. We describe the possible characteristic polynomials of e f, when some of its rows are prescribed and the other rows vary. The characteristic polynomial of e f is deยฎned as the largest determinantal divisor (or the product of the invariant fac

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Consider a n ร— n matrix partitioned into k ร— k blocks: C = [C i,j ], where C 1,1 , . . . , C k,k are square. This paper studies the possible numbers of nonconstant invariant polynomials of C when a diagonal of blocks C i,j is fixed and the others vary.