Generalized inverses of bordered matrices.
Bapat, R.B., Zheng, Bing (2003)
ELA. The Electronic Journal of Linear Algebra [electronic only]
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Displaying similar documents to “Full rank factorization and the Flanders theorem.”
Generalized inverses of bordered matrices.
Spaces of rank-2 matrices over GF(2).
Beasley, LeRoy B. (1999)
ELA. The Electronic Journal of Linear Algebra [electronic only]
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On generalized inverses of banded matrices.
Bapat, R.B. (2007)
ELA. The Electronic Journal of Linear Algebra [electronic only]
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Block representations of the Drazin inverse of a bipartite matrix.
Catral, Minerva, Olesky, Dale D., van den Driessche, Pauline (2009)
ELA. The Electronic Journal of Linear Algebra [electronic only]
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Group inverse for the block matrix with two identical subblocks over skew fields.
Zhao, Jiemei, Bu, Changjiang (2010)
ELA. The Electronic Journal of Linear Algebra [electronic only]
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On low rank perturbations of complex matrices and some discrete metric spaces.
Glebsky, Lev, Rivera, Luis Manuel (2009)
ELA. The Electronic Journal of Linear Algebra [electronic only]
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Matrix rank certification.
Saunders, B. David, Storjohann, Arne, Villard, Gilles (2004)
ELA. The Electronic Journal of Linear Algebra [electronic only]
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Some results on the group inverse for block matrices over skew fields.
Bu, Changjiang, Zhao, Jiemei, Zhang, Kuize (2009)
ELA. The Electronic Journal of Linear Algebra [electronic only]
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Some characterizations of totally nonpositive (totally negative) matrices.
Canto, Rafael, Ricarte, Beatriz, Urbano, Ana Maria (2010)
ELA. The Electronic Journal of Linear Algebra [electronic only]
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The symmetric minimal rank solution of the matrix equation and the optimal approximation.
Xiao, Qing-Feng, Hu, Xi-Yan, Zhang, Lei (2009)
ELA. The Electronic Journal of Linear Algebra [electronic only]
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Euclidean and circum-Euclidean distance matrices: characterizations and linear preservers.
Li, Chi-Kwong, Milligan, Thomas, Trosset, Michael W. (2010)
ELA. The Electronic Journal of Linear Algebra [electronic only]
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Even and odd tournament matrices with minimum rank over finite fields.
Doering, Elizabeth, Michael, T.S., Shader, Bryan L. (2011)
ELA. The Electronic Journal of Linear Algebra [electronic only]
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Zero-term rank preservers of integer matrices
Seok-Zun Song, Young-Bae Jun (2006)
Discussiones Mathematicae - General Algebra and Applications
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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.