vol20_pp291-302. 130KB Jun 04 2011 12:06:08 AM
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Complex syntaxes of data management using SPSS contain: recoding the variables, creating a new variable, with Compute, creating a new variable using If, creating the unsetting
whether a specied real, symmetric matrix is a member of any of several closely related classes: the MMA-matrices; the inverse MMA-matrices; the strictly positive, positive
Bounds for the ranks of upper-right submatrices of a generalized inverse of a strictly lower k -banded matrix are obtained.. It is shown that such ranks can be exactly predicted
In the study of the combinatorially symmetric TN completion problem [JKL], it is shown that for every partial TN matrix with specified entries corresponding to a monotonically
A technique similar to that of Chan and Li can be found in Thompson’s earlier work [ 6 ] on the diagonal entries and singular values of a square
In the case of a partial TP matrix, the graph of whose specified entries is a sym- metrically placed cycle, as given in (1.1), the necessary conditions for a TP completion are the
Shao (2009), the inequality (1.2) has been applied to prove the necessary upper and lower bounds in Theorem 8.6 in order to obtain the moderate deviation result for
To state the necessary and sufficient condition, we extend the notion of graph of a random matrix from the fixed support case, that is when the entries are either almost-surely finite