Bounds of matrices with regard to an hermitian metric
Werner Gautschi (1954-1956)
Compositio Mathematica
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Werner Gautschi (1954-1956)
Compositio Mathematica
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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.
Budden, Mark, Hadavas, Paul, Hoffman, Lorrie, Pretz, Chris (2007)
Applied Mathematics E-Notes [electronic only]
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Krzysztof Janiszowski (2003)
International Journal of Applied Mathematics and Computer Science
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An iterative inversion algorithm for a class of square matrices is derived and tested. The inverted matrix can be defined over both real and complex fields. This algorithm is based only on the operations of addition and multiplication. The numerics of the algorithm can cope with a short number representation and therefore can be very useful in the case of processors with limited possibilities, like different neuro-computers and accelerator cards. The quality of inversion can be traced...
Petko Hr. Petkov, Nicolai D. Christov, Michail M. Konstantinov (1986)
Kybernetika
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Budden, Mark, Hadavas, Paul, Hoffman, Lorrie (2008)
Applied Mathematics E-Notes [electronic only]
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