Mircea Merca (2013)
Special Matrices
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The nth-order determinant of a Toeplitz-Hessenberg matrix is expressed as a sum over the integer partitions of n. Many combinatorial identities involving integer partitions and multinomial coefficients can be generated using this formula.
M. S. Moslehian, J. Mićić, M. Kian (2013)
Topological Algebra and its Applications
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We present some generalized Jensen type operator inequalities involving sequences of self-adjoint operators. Among other things, we prove that if f : [0;1) → ℝ is a continuous convex function with f(0) ≤ 0, then [...] for all operators Ci such that [...] (i=1 , ... , n) for some scalar M ≥ 0, where [...] and [...]
Sellers, James A., Frey, Darrin D. (2001)
Journal of Integer Sequences [electronic only]
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Shcheglova, A.A. (2002)
Sibirskij Matematicheskij Zhurnal
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Frasin, B.A. (2005)
Acta Mathematica Academiae Paedagogicae Nyí regyháziensis. New Series [electronic only]
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Shanmugam, T.N., Ramachandran, C., Sivasubramanian, S. (2007)
Acta Universitatis Apulensis. Mathematics - Informatics
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Dimitrov, Nikolaj, Tersian, Stepan (2009)
Electronic Journal of Differential Equations (EJDE) [electronic only]
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Purohit, S.D. (2009)
Bulletin of Mathematical Analysis and Applications [electronic only]
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Bouziani, Abdelfatah (2003)
Georgian Mathematical Journal
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Zhuravlev, E.V. (2006)
Sibirskie Ehlektronnye Matematicheskie Izvestiya [electronic only]
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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.
Ayyer, Arvind (2009)
Journal of Integer Sequences [electronic only]
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Castillo, Greilyn, Galué, Leda (2010)
Revista Colombiana de Matemáticas
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Tian, Yongge (2006)
Acta Mathematica Universitatis Comenianae. New Series
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