On the adjugate of a matrix
Schwerdtfeger, Hans (1961)
Portugaliae mathematica
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Schwerdtfeger, Hans (1961)
Portugaliae mathematica
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Winfried Kohnen (1996)
Compositio Mathematica
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Jian-Shu Li (1992)
Compositio Mathematica
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Zhibin Du, Carlos M. da Fonseca (2016)
Open Mathematics
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In this work we show that the Bruhat rank of a symmetric (0,1)-matrix of order n with a staircase pattern, total support, and containing In, is at most 2. Several other related questions are also discussed. Some illustrative examples are presented.
Qingfeng Sun (2012)
Acta Arithmetica
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Chao Ma (2017)
Open Mathematics
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Let x, y be two distinct real numbers. An {x, y}-matrix is a matrix whose entries are either x or y. We determine the possible numbers of x’s in an {x, y}-matrix with a given rank. Our proof is constructive.
Rufus Oldenburger (1940)
Compositio Mathematica
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M. Radić (1968)
Matematički Vesnik
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Hiroshi Kurata, Ravindra B. Bapat (2016)
Special Matrices
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By a hollow symmetric matrix we mean a symmetric matrix with zero diagonal elements. The notion contains those of predistance matrix and Euclidean distance matrix as its special cases. By a centered symmetric matrix we mean a symmetric matrix with zero row (and hence column) sums. There is a one-toone correspondence between the classes of hollow symmetric matrices and centered symmetric matrices, and thus with any hollow symmetric matrix D we may associate a centered symmetric matrix...
Viktor Schroeder, Christoph Hummel (1996)
Inventiones mathematicae
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Mortici, Cristinel (2003)
Analele Ştiinţifice ale Universităţii “Ovidius" Constanţa. Seria: Matematică
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