The principal rank characteristic sequence over various
نویسندگان
چکیده
7 Given an n × n matrix, its principal rank characteristic sequence is a sequence of 8 length n + 1 of 0s and 1s where, for k = 0, 1, . . . , n, a 1 in the kth position indicates 9 the existence of a principal submatrix of rank k and a 0 indicates the absence of such 10 a submatrix. The principal rank characteristic sequences for symmetric matrices over 11 various fields are investigated, with all such attainable sequences determined for all n 12 over any field with characteristic 2. A complete list of attainable sequences for real 13 symmetric matrices of order 7 is reported. 14
منابع مشابه
The principal rank characteristic sequence over various fields
Given an n × n matrix, its principal rank characteristic sequence is a sequence of length n + 1 of 0s and 1s where, for k = 0, 1, . . . , n, a 1 in the kth position indicates the existence of a principal submatrix of rank k and a 0 indicates the absence of such a submatrix. The principal rank characteristic sequences for symmetric matrices over various fields are investigated, with all such att...
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تاریخ انتشار 2014