نتایج جستجو برای: quaternion matrices and linear algebra

تعداد نتایج: 16911737  

Journal: :Numerical Lin. Alg. with Applic. 2007
Hou-Biao Li Ting-Zhu Huang Hong Li

A matrix with positive row sums and all its off-diagonal elements bounded above by their corresponding row averages is called a B-matrix by J. M. Peña in References (SIAM J. Matrix Anal. Appl. 2001; 22:1027–1037) and (Numer. Math. 2003; 95:337–345). In this paper, it is generalized to more extended matrices—MB-matrices, which is proved to be a subclass of the class of P-matrices. Subsequently, ...

Journal: :Bulletin of the American Mathematical Society 1936

2002
I. Gelfand S. Gelfand V. Retakh R. Wilson

The determinant is a main organizing tool in commutative linear algebra. In this review we present a theory of the quasideterminants defined for matrices over a division algebra. We believe that the notion of quasideterminants should be a main organizing tool in noncommutative algebra giving them the same role determinants play in commutative algebra.

Journal: :Communications in Algebra 2011

2001
S. I. Kruglov

Tensor, matrix and quaternion formulations of Dirac-Kähler equation for massive and massless fields are considered. The equation matrices obtained are simple linear combinations of matrix elements in the 16-dimensional space. The projection matrix-dyads defining all the 16 independent equation solutions are found. A method of computing the traces of 16-dimensional Petiau-Duffin-Kemmer matrix pr...

2016
Wei Huang Hongsheng Xie Chen Shen Jinpeng Li

This paper considers a robust strong tracking nonlinear filtering problem in the case there are model uncertainties including the model mismatch, unknown disturbance and status mutation in the spacecraft attitude estimation system with quaternion constraint. Two multiple fading factor matrices are employed to regulate the prediction error covariance matrix, which guarantees its symmetry. The sp...

2006
Francesco Vaccarino

It is well known that over an infinite field the ring of symmetric functions in a finite number of variables is isomorphic to the one of polynomial functions on matrices that are invariants by the action of conjugation by general linear group. We generalize this result showing that the abelianization of the algebra of the symmetric tensors of fixed order over a free associative algebra is isomo...

Journal: :Communications Faculty Of Science University of Ankara Series A1Mathematics and Statistics 2014

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