Generalized inverse representations are developed for solutions of the matrix equations A X A = A and X AX = X. It is shown that both the Scroggs-Odell pseudoinverse of a matrix and the Drazin pseudoinverse of a matrix with index one follow as special cases. Representations for the Drazin...
The proposed method may be called ″the generalized-incremental method,″ because constraining the incremental parameter is not necessary, and, in addition, because the method uses the ″generalized inverse″ . This method may be applied not only to investigate the stability problem, but it may ...
A Theory of Generalized Inverses Applied to Robotics Robokcs research has made extensive use of techniques based on me Moore-Penrose inverse, or generalized inverse, of matri als. Recently it has been pointed... KL Doty,C Melchiorri,C Bonivento - 《International Journal of Robotics Research》 被...
The computational technique is presented with a example and also as an algorithm. Included with the algorithm is an analysis of its computer implementation. The use of one generalized inverse is used to find the solution of a Lyapunov matrix equation.Murray, C. FAir Force Inst. of Tech....
An introduction to the application of the simplest matrix-generalized inverse in systems science Various kinds of matrix-generalized inverses are defined and classified. Theorems on the existence, calculation, and use of the simplest generalized invers... Lovass-Nagy,V.,Miller,... - 《Circuits &...
Common matrix is regarded as the study tool in the research on advanced algebra,this article,by discussing on five applications:the polynomial,the matrix,the generalized inverse matrix,the linear space and Euclidean space,shows systematically that the theory of linear equations is also a powerful too...
Given a matrix M= A B C D, the Schur complements of A in M are the matrices of the form S = D CaB, where a is a generalized inverse of A. We survey several recent characterizations of Schur complements, and discuss where they arose and ... D Carlson - 《Linear Algebra & Its A...
Generalized matrix inverses are used to estimate source activity distributions from single photon emission computed tomography (SPECT) projection measureme... Smith, M.F,Floyd, C.E., Jr - 《IEEE Transactions on Medical Imaging》 被引量: 150发表: 1992年 Three-Dimensional Image Reconstruction in Ra...
Conventional extreme learning machines solve a Moore-Penrose generalized inverse of hidden layer activated matrix and analytically determine the output wei... L Zhang,D Zhang - 《IEEE Transactions on Neural Networks & Learning Systems》 被引量: 37发表: 2015年 Evolutionary Ordinal Extreme Learning Mach...
- M . R i n ke l, Application of the exact inverse of the Toeplitz matrix with singular rational symbol to random walks, Probab. Math. Statist. ... P Rambour,JM Rinkel - 《Probability & Mathematical Statistics》 被引量: 2发表: 2005年 Inversion of generalized Cauchy matrices and other ...