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- W2154650104 abstract "We consider a key case in the fundamental and substantial problem of the possible Jordan canonical forms of A, B, C ∈ M n (F) when C = AB. If A ∈ M 2k (F) (respectively B, C ∈ M 2k (F)) is diagonalizable with two distinct eigenvalues a 1 , a 2 (respectively b 1 , b 2 , and c 1 , c 2 ), each with multiplicity k, and when C = AB, all possibilities for a 1 , a 2 , b 1 , b 2 , c 1 , c 2 are characterized. The possibilities are much more restrictive than the obvious determinant condition: (a 1 a 2 b 1 b 2 ) k = (c 1 c 2 ) k allows. This is then used to settle the general, two eigenvalues per matrix, diagonalizable case of the Jordan form problem for C = AB." @default.
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- W2154650104 date "2010-12-01" @default.
- W2154650104 modified "2023-09-26" @default.
- W2154650104 title "THE JORDAN FORM PROBLEM FOR C = AB: THE BALANCED, DIAGONALIZABLE CASE" @default.
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- W2154650104 doi "https://doi.org/10.1142/s1793557110000477" @default.
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