A computational method for evaluating generalized inverses
نویسندگان
چکیده
منابع مشابه
Effective partitioning method for computing generalized inverses and their gradients
We extend the algorithm for computing {1}, {1, 3}, {1, 4} inverses and their gradients from [11] to the set of multiple-variable rational and polynomial matrices. An improvement of this extension, appropriate to sparse polynomial matrices with relatively small number of nonzero coefficient matrices as well as in the case when the nonzero coefficient matrices are sparse, is introduced. For that ...
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Abstraet--Jacobians are used in robotics for motion planning and control. They are also used in algorithms that determine linkage parameter errors of robots and in algorithms that determine pair variable corrections for accurate motion. Most applications require that the inverse of the Jacobian be obtained. The causes of singularities in Jacobians and a procedure to detect their presence are gi...
متن کاملA note on generalized inverses
Motivated by too restrictive or even incorrect statements about generalized inverses in the literature, properties about these functions are investigated and proven. Examples and counterexamples show the importance of generalized inverses in mathematical theory and its applications.
متن کاملGeneralized Inverses and Applications
Fredholm’s method to solve a particular integral equation in 1903, was probably the first written work on generalized inverses. In 1906, Moore formulated the generalized inverse of a matrix in an algebraic setting, which was published in 1920, and in the thirties von Neumann used generalized inverses in his studies of continuous geometries and regular rings. Kaplansky and Penrose, in 1955, inde...
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In this paper, we give necessary and sufficient conditions for the absorption laws in terms of {1}, {1, 2}, {1, 3} and {1, 4}-inverses. Also, we consider the various types of mixed absorption law for the generalized inverses.
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ژورنال
عنوان ژورنال: The Computer Journal
سال: 1968
ISSN: 0010-4620,1460-2067
DOI: 10.1093/comjnl/10.4.411