The Sherman-Morrison formula and eigenvalues of a special bordered matrix.
Trenkler, G., Trenkler, D. (2005)
Acta Mathematica Universitatis Comenianae. New Series
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Trenkler, G., Trenkler, D. (2005)
Acta Mathematica Universitatis Comenianae. New Series
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Seddighin, Morteza (2003)
International Journal of Mathematics and Mathematical Sciences
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R. Zezula, J. Roček, A. Miasnikov (1977)
Acta Universitatis Carolinae. Mathematica et Physica
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Vanesa Cortés, Juan Peña, Tomas Sauer (2012)
Open Mathematics
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We present an extension of the QR method to simultaneously compute the joint eigenvalues of a finite family of commuting matrices. The problem is motivated by the task of finding solutions of a polynomial system. Several examples are included.
Carles Maria Cuadras, Josep-Maria Oller (1987)
Qüestiió
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The known hierarchical clustering scheme is equivalent to the concept of ultrametric distance. Every distance can be represented in a spatial model using multidimensional scaling. We relate both classes of representations of proximity data in an algebraic way, obtaining some results and relations on clusters and the eigenvalues of the inner product matrix for an ultrametric distance. Principal coordinate analysis on an ultrametric distance gives two classes of independent coordinates,...
Lubomír Skála (1977)
Aplikace matematiky
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