A remark on common solutions of a pair of matrix equations.
Zhang, X. (2004)
Acta Mathematica Universitatis Comenianae. New Series
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Zhang, X. (2004)
Acta Mathematica Universitatis Comenianae. New Series
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Lomidze, I. (1996)
Georgian Mathematical Journal
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Minghua Lin, Harald K. Wimmer (2014)
Special Matrices
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Companion matrices of the second type are characterized by properties that involve bilinear maps.
Enrique Navarro, Rafael Company, Lucas Jódar (1993)
Applicationes Mathematicae
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In this paper we consider Bessel equations of the type , where A is an nn complex matrix and X(t) is an nm matrix for t > 0. Following the ideas of the scalar case we introduce the concept of a fundamental set of solutions for the above equation expressed in terms of the data dimension. This concept allows us to give an explicit closed form solution of initial and two-point boundary value problems related to the Bessel equation.
Meenakshi, Ar., Indira, R. (2005)
Bulletin of the Malaysian Mathematical Sciences Society. Second Series
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Neuwirth, Erich (2002)
Séminaire Lotharingien de Combinatoire [electronic only]
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Popoviciu, Ioan (2002)
Analele Ştiinţifice ale Universităţii “Ovidius" Constanţa. Seria: Matematică
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Kalogeropoulos, Grigoris I., Karageorgos, Athanasios D., Pantelous, Athanasios A. (2009)
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E. Macías-Virgós, M.J. Pereira-Sáez (2014)
Special Matrices
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We prove that any quaternionic matrix of order n ≤3 admits a characteristic function, whose roots are the left eigenvalues, that satisfes Cayley-Hamilton theorem.
Meenakshi, A.R., Krishnaswamy, D. (2006)
Bulletin of the Malaysian Mathematical Sciences Society. Second Series
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Dimakis, Aristophanes, Müller-Hoissen, Folkert (2010)
SIGMA. Symmetry, Integrability and Geometry: Methods and Applications [electronic only]
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Coffman, Adam (2002)
Beiträge zur Algebra und Geometrie
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