نتایج جستجو برای: generalized inverse
تعداد نتایج: 252531 فیلتر نتایج به سال:
The Moore-Penrose inverse of a real matrix having no square submatrix with two or more diagonals is described in terms of bipartite graphs. For such a matrix, the sign of every entry of the Moore-Penrose inverse is shown to be determined uniquely by the signs of the matrix entries; i.e., the matrix has a signed generalized inverse. Necessary and sufficient conditions on an acyclic bipartite gra...
In this paper we investigate the inheritance of certain structures under generalized matrix inversion. These structures contain the case of rank structures, and the case of displacement structures. We do this in an intertwined way, in the sense that we develop an argument that can be used for deriving the results for displacement structures from thoses for rank structures. We pay particular att...
A deflation by restriction scheme is developed for the inverse-free preconditioned Krylov subspace method for computing a few extreme eigenvalues of the definite symmetric generalized eigenvalue problem Ax = λBx. The convergence theory for the inverse-free preconditioned Krylov subspace method is generalized to include this deflation scheme and numerical examples are presented to demonstrate th...
In this paper we investigate additive properties of the generalized Drazin inverse in a Banach algebra. We find some new conditions under which the generalized Drazin inverse of the sum a + b could be explicitly expressed in terms of a, a, b, b. Also, some recent results of Castro and Koliha (Proc. Roy. Soc. Edinburgh Sect. A 134 (2004), 1085-1097) are extended. 2000 Mathematics Subject Classif...
We study the Bethe ansatz equations for a generalized XXZ model on a one-dimensional lattice. Assuming the string conjecture we propose an integer version for vacancy numbers and prove a combinatorial completeness of Bethe's states for a generalized XXZ model. We nd an exact form for inverse matrix related with vacancy numbers and compute its determinant. This inverse matrix has a tridiagonal f...
The generalized inverse A T ,S of a matrix A is a {2}-inverse of A with the prescribed range T and null space S. A representation for the generalized inverse A T ,S has been recently developed with the condition σ(GA|T ) ⊂ (0,∞), where G is a matrix with R(G) = T and N(G) = S. In this note, we remove the above condition. Three types of iterative methods for A T ,S are presented if σ(GA|T ) is a...
Inverse Multiplexing for ATM (IMA) has been standardized by the ATM Forum to provide a high-capacity logical link by grouping several lower-capacity physical links. IMA is intrinsically point-to-point, assumes congestion-free links, and only tolerates relatively constant differential delays between the links. In this paper, we generalize the notion of inverse multiplexing by introducing switchi...
We introduce the concept of generalized projection operators, i.e., projection integrals over a body in R that generalize the usual result of projected area in a given direction by taking into account shadowing and scattering effects as well as additional convolution functions in the integral. Such operators arise naturally in connection with various observation instruments and data types. We r...
†Department of Mathematics, Southeast University, Nanjing 210096, China ‡College of Mathematics and Information Science, Guangxi University, Nanning 530004, China E-mail: [email protected] E-mail: [email protected] E-mail: [email protected] Abstract: It is well known that for an associative ring R, if ab is Drazin invertible then ba is Drazin invertible. In this case, (ba)D = b((ab)D)2a. This for...
Aeroacoustic source identification poses some challenges to the conventional techniques such as the conventional beamforming. The challenges can be summarized as the distributed nature of the aeroacoustic sources, in coherent or incoherent radiation, with multipole radiation characteristics. In order to cope with these difficulties, the Generalized Inverse Beamforming (GIB) is adopted. This met...
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