Results 91 to 100 of about 992,721 (210)
Parallel computing methods to determine parametric generalized inverse matrices
Известия Томского политехнического университета: Инжиниринг георесурсов, 2019 The relevancy of the work is conditioned by the necessity to determine effectively the Moore-Penrose generalized parametric inverse matrices which are quite often encountered when solving non-autonomous linear systems of finite equations, optimal control
S. H. Simonyan
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On the mean and dispersion of the Moore-Penrose generalized inverse of a Wishart matrix [PDF]
, 2019 The Moore-Penrose inverse of a singular Wishart matrix is studied. When the scale matrix equals the identity matrix the mean and dispersion matrices of the Moore-Penrose inverse are known. When the scale matrix has an arbitrary structure no exact results
von Rosen, Dietrich, Imori, Shinpei
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Journal of Applied Mathematics, 2014 This paper presents a computational iterative method to find approximate inverses for the inverse of matrices. Analysis of convergence reveals that the method reaches ninth-order convergence.
F. Soleymani, M. Sharifi, S. Shateyi
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Minors of the Moore-Penrose inverse
Linear Algebra and its Applications, 1993 The well-known Jacobi identity for the minors of an inverse matrix \(A^{-1}\) is generalized to the minors of the Moore-Penrose inverse \(A^ +\) of an arbitrary real \(m \times n\)-matrix \(A\) of rank \(r \geq 1\). As a consequence, conditions are given in the case \(m=n\), under which all principal minors of \(A^ +\) are nonnegative.
Miao, Jianming, Ben-Israel, Adi
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The density of the Moore-Penrose inverse of a random matrix
, 1996 The density of the Moore-Penrose inverse of a random matrix is derived by standard matrix calculus.
Neudecker, Heinz +3 more
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On the Further Properties of the MPBT Inverse and Applications to Special Matrices
MathematicsThis paper aims to simplify the form of the MPBT inverse, further explore its properties, and discuss when it coincides with other generalized inverses. Notably, the MPBT inverse coincides with the Moore–Penrose inverse when the index of the matrix is at
Tingyu Zhao, Yuefeng Gao
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Some New Algebraic and Topological Properties of the Minkowski Inverse in the Minkowski Space
The Scientific World Journal, 2013 We introduce some new algebraic and topological properties of the Minkowski inverse A⊕ of an arbitrary matrix A∈Mm,n (including singular and rectangular) in a Minkowski space μ.
Hanifa Zekraoui +2 more
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A Novel Multi-User Detection on LS in Impulse Radio UWB Systems
工程科学与技术, 2009 : In this paper, firstly, changes the systems of time-hopping BPSK in UWB into a virtually linear model, secondly， writes least square criterion , one of the optimal criterion of adaptive filtering algorithm, into matrix form, and proposes a new ...
Tang Ning-Jiu +3 more
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Journal of Applied Mathematics, 2014 Using the Kronecker product of matrices, the Moore-Penrose generalized inverse, and the complex representation of quaternion matrices, we derive the expressions of least squares solution with the least norm, least squares pure imaginary solution with the
Shi-Fang Yuan
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Moore–Penrose biorthogonal systems in Euclidean spaces
, 2003 We present a simple approach to a transformation in a Euclidean space based on the Moore–Penrose generalized ...
Fiedler, Miroslav
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