The extremal ranks of subject to a pair of matrix equations
Yongge Tian, Yonghui Liu (2006)
Rendiconti del Seminario Matematico della Università di Padova
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Yongge Tian, Yonghui Liu (2006)
Rendiconti del Seminario Matematico della Università di Padova
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Aldo Conca, Giuseppe Valla (2004)
Collectanea Mathematica
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Shen-Chi Tang (1965)
Collectanea Mathematica
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J.-H. Evertse, R. Tijdeman (1996)
Compositio Mathematica
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Tsai, Chester E. (1967)
Portugaliae mathematica
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Tadeusz Kaczorek (2010)
International Journal of Applied Mathematics and Computer Science
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The notion of a common canonical form for a sequence of square matrices is introduced. Necessary and sufficient conditions for the existence of a similarity transformation reducing the sequence of matrices to the common canonical form are established. It is shown that (i) using a suitable state vector linear transformation it is possible to decompose a linear 2D system into two linear 2D subsystems such that the dynamics of the second subsystem are independent of those of the first one,...
Kolev, Emil (2003)
Serdica Mathematical Journal
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2000 Mathematics Subject Classification: 91A46, 91A35. We consider nonadaptive search problem for an unknown element x from the set A = {1, 2, 3, . . . , 2^n}, n ≥ 3. For fixed integer S the questions are of the form: Does x belong to a subset B of A, where the sum of the elements of B is equal to S? We wish to find all integers S for which nonadaptive search with n questions finds x. We continue our investigation from [4] and solve the last remaining case n = 2^k , k ≥ 2. ...
(1993)
Compositio Mathematica
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Demetra Demetropoulou-Psomopoulou (1997)
Publicacions Matemàtiques
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The present work is based on a type of structures on a differential manifold V, called G-structures of the second kind, defined by endomorphism J on the second order tangent bundle T(V ). Our objective is to give conditions for a differential manifold to admit a real almost product and a generalised almost tangent structure of second order. The concepts of the second order frame bundle H(V ), its structural group L and its associated tangent bundle of second order T(V ) of a differentiable...