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초록· 키워드
오류제보하기
A rank one matrix can be factored as u(^t)v for
vectors u and v of appropriate orders. The
perimeter of this rank one matrix is the number of nonzero entries
in u plus the number of nonzero entries in v. A
matrix of rank k is the sum of k rank one matrices. The
perimeter of a matrix of rank k is the minimum of the sums of
perimeters of the rank one matrices. In this article we
characterize the linear operators that preserve perimeters of
matrices over semirings.
목차
등록된 정보가 없습니다.
참고문헌 (6)
참고문헌 신청
C.-K. Li / 2001 / Linear preserver problems / Amer. Math. Monthly 108 (7) : 591 ~ 605
L. B. Beasley / 1984 / Boolean-rank-preserving operators and Boolean-rank-1 spaces / Linear Algebra Appl. 59 : 55 ~ 77
L. B. Beasley / 1987 / Term-rank, permanent, and rook-polynomial preservers / Linear Algebra Appl. 90 : 33 ~ 46
S. Pierce / 1992 / A survey of linear preserver problems, Linear and Multilinear Algebra / Gordon and Breach Science Publishers 33 (1) : 1 ~ 129
S.-Z. Song / / Perimeter preserving linear operators / to appear
L. B. Beasley / 1984 / Boolean-rank-preserving operators and Boolean-rank-1 spaces / Linear Algebra Appl. 59 : 55 ~ 77
L. B. Beasley / 1987 / Term-rank, permanent, and rook-polynomial preservers / Linear Algebra Appl. 90 : 33 ~ 46
S. Pierce / 1992 / A survey of linear preserver problems, Linear and Multilinear Algebra / Gordon and Breach Science Publishers 33 (1) : 1 ~ 129
S.-Z. Song / / Perimeter preserving linear operators / to appear
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