Results 91 to 100 of about 949,545 (177)
The Moore-Penrose inverse of a morphism with factorization [PDF]
, 1981 Given an m-by-n matrix A of rank r over a field with an involutory automorphism, it is well known that A has a Moore-Penrose inverse if and only if rank A∗A=r= rank AA∗.
Puystjens, Roland, Robinson, Donald W.
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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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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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On the Sequential Composition of the Moore-Penrose Matrix Inverse
, 2023 <p>A technical note on the sequential compositionality of the Moore-Penrose Matrix Inverse.
Aziz, Benjamin
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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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On the Moore-Penrose Inverse in C∗-algebras
, 2006 In this article, two results regarding the Moore-Penrose inverse in the frame of C*-algebras are considered. In first place, a characterization of the so-called reverse order law is given, which provides a solution of a problem posed by M. Mbekhta.
Enrico Boasso, Boasso, Enrico
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On the covariance of the Moore-Penrose inverse [PDF]
, 1984 Given a square complex matrix A with Moore-Penrose inverse A†, we describe the class of invertible matrices T such that (TAT-1)†=TA†T ...
Robinson, Donald W.
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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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A characterization of the Moore-Penrose inverse [PDF]
, 1993 If A is a nonsingular matrix of order n, the inverse of A is the unique matrix X for which rankAIIX=rank(A). We present a generalization of this fact to singular or rectangular matrices A to obtain an analogous result for the Moore-Penrose inverse A+ of ...
Markham, Thomas L., Fiedler, Miroslav
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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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