On the uniqueness of multilinear decomposition of N-way arrays
نویسندگان
چکیده
i.e. X can be written as a sum of three outer products of the respective component vectors, which constitute rank-1 matrices. Let A := [a1, a2, a3] and B := [b1, b2, b3], and X can be expressed as X = AB. Note the trivial fact that ATTB = X for any invertible T; hence, given X, infinitely many (A, B) pairs can potentially give rise to X. Unless some additional structure is assumed or JOURNAL OF CHEMOMETRICS J. Chemometrics 2000; 14: 229–239
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تاریخ انتشار 2000