The maximal and minimal ranks of with applications.
Tian, Yongge, Cheng, Shizhen (2003)
The New York Journal of Mathematics [electronic only]
Similarity:
The search session has expired. Please query the service again.
The search session has expired. Please query the service again.
The search session has expired. Please query the service again.
The search session has expired. Please query the service again.
Tian, Yongge, Cheng, Shizhen (2003)
The New York Journal of Mathematics [electronic only]
Similarity:
Dobrynin, V.Y. (1997)
The Electronic Journal of Combinatorics [electronic only]
Similarity:
Seok-Zun Song, Young-Bae Jun (2006)
Discussiones Mathematicae - General Algebra and Applications
Similarity:
The zero-term rank of a matrix is the minimum number of lines (row or columns) needed to cover all the zero entries of the given matrix. We characterize the linear operators that preserve the zero-term rank of the m × n integer matrices. That is, a linear operator T preserves the zero-term rank if and only if it has the form T(A)=P(A ∘ B)Q, where P, Q are permutation matrices and A ∘ B is the Schur product with B whose entries are all nonzero integers.
Dealba, Luz M., Grout, Jason, Hogben, Leslie, Mikkelson, Rana, Rasmussen, Kaela (2009)
ELA. The Electronic Journal of Linear Algebra [electronic only]
Similarity:
Royle, Gordon F. (2003)
The Electronic Journal of Combinatorics [electronic only]
Similarity:
Cao, Chongguang, Tang, Xiaomin (2004)
International Journal of Mathematics and Mathematical Sciences
Similarity:
Mortici, Cristinel (2003)
Analele Ştiinţifice ale Universităţii “Ovidius" Constanţa. Seria: Matematică
Similarity:
Chenette, Nathan L., Droms, Sean V., Hogben, Leslie, Mikkelson, Rana, Pryporova, Olga (2007)
ELA. The Electronic Journal of Linear Algebra [electronic only]
Similarity:
Beasley, LeRoy B. (1999)
ELA. The Electronic Journal of Linear Algebra [electronic only]
Similarity:
Grolmusz, Vince (2000)
The Electronic Journal of Combinatorics [electronic only]
Similarity:
Hogben, Leslie (2011)
ELA. The Electronic Journal of Linear Algebra [electronic only]
Similarity:
Yong Ge Tian, George P. H. Styan (2002)
Commentationes Mathematicae Universitatis Carolinae
Similarity:
It is shown that where is idempotent, has full row rank and . Some applications of the rank formula to generalized inverses of matrices are also presented.