Zobrazeno 1 - 10
of 15
pro vyhledávání: '"Inverse functions and differentiation"'
Autor:
Fapeng Du, Yifeng Xue
Publikováno v:
Kyungpook mathematical journal. 55:251-258
Let be a unital -algebra, a, x and y are elements in . In this paper, we present the expression of the Moore-Penrose inverse and the group inverse of a- under the conditions , respectively.
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::484662c54ef991c4f94364bc7782f94d
https://doi.org/10.5666/kmj.2015.55.2.251
https://doi.org/10.5666/kmj.2015.55.2.251
Publikováno v:
Applied Mathematics and Computation. 243:514-521
A new representation of A"T","S^(^2^,^3^) of A having prescribed range space T and null space S is derived. Using this representation, the well known generalized inverses such as the Moore-Penrose inverse, the group inverse, the Drazin inverse, the B
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::28ed9875e2a8e21b57ec34358f1e6b82
https://doi.org/10.1016/j.amc.2014.06.010
https://doi.org/10.1016/j.amc.2014.06.010
Autor:
R. A. Katsala, M. M. Pahirya
Publikováno v:
Ukrainian Mathematical Journal. 61:1192-1198
A regular continued C-fraction is associated with a power series. The coefficients of this fraction are determined via either Hankel determinants or inverse derivatives. We prove the equivalence of these approaches to the construction of regular cont
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::ccf9e1c23c1c78004997064c8c354154
https://doi.org/10.1007/s11253-009-0268-z
https://doi.org/10.1007/s11253-009-0268-z
Publikováno v:
Journal of Computational and Applied Mathematics. 213:248-257
This paper presents a novel representation for the generalized inverse A"T","S^(^2^). Based on this, we give an algorithm to compute this generalized inverse. As an application, we use Gauss-Jordan elimination to compute the weighted Moore-Penrose in
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::d63b42daf0495d2e26875c17803805ef
https://doi.org/10.1016/j.cam.2007.01.009
https://doi.org/10.1016/j.cam.2007.01.009
Publikováno v:
Journal of Computational and Applied Mathematics. 190(1-2):151-169
It is shown that a pair of inverse relations can be constructed by the suitable application of Faà di Bruno's formula for finding higher order derivatives of composite functions. Various examples illustrating the applications of inverse relations ar
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::0bb3e311c1f61f7f7ebde283f3c56e9b
Autor:
Guorong Wang, Bing Zheng
Publikováno v:
Applied Mathematics and Computation. 157:295-305
By using the ranks of matrices, the necessary and sufficient condition is given for the reverse order law of the generalized inverse A^(^2^)"T","S of matrix product A=A"1A"2...A"n to hold. As the special cases, similar results for Moore-Penrose inver
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::662010cc53557002925877250fb0dc45
https://doi.org/10.1016/j.amc.2003.08.034
https://doi.org/10.1016/j.amc.2003.08.034
Autor:
Yimin Wei, Dragan S. Djordjević
Publikováno v:
Applied Mathematics and Computation. 142:189-194
We present a general integral representation for the generalized inverse A"T","S^(^2^), which extends earlier result on the Moore-Penrose inverse, weighted Moore-Penrose inverse and Drazin inverse.
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::e83fc1c47f64a1458b047335027e7bf4
https://doi.org/10.1016/s0096-3003(02)00296-5
https://doi.org/10.1016/s0096-3003(02)00296-5
Autor:
Götz Trenkler
Publikováno v:
International Journal of Mathematical Education in Science and Technology. 33:431-436
In this note it is shown that the Moore-Penrose inverse of real 3 X 3 matrices can be expressed in terms of the vector product of their columns. Moreover, a simple formula of a generalized inverse is presented, which also involves the vector product.
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::bc154cfc9cf75fe40e1636e024caebe2
https://doi.org/10.1080/002073902760047922
https://doi.org/10.1080/002073902760047922
Autor:
Ruben Gamboa, John Cowles
Publikováno v:
Proceedings of the Eighth International Workshop on the ACL2 Theorem Prover and its Applications.
ACL2(r) supports the definition of real-valued functions. In this paper, we introduce a theory of inverse functions into ACL2(r). The theory is developed in stages, from an abstract description of inverse functions, to a still abstract but more tract
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::817bf2739b95f7043cda31f7d0c19d56
https://doi.org/10.1145/1637837.1637846
https://doi.org/10.1145/1637837.1637846
Publikováno v:
Applied Mathematics and Computation. 42:255-285
The direct and inverse derivatives, differential, differential expression, compatible and exact integrals, etc., known for Booleab algebraic systems (where m, the number of levels, is 2) are generalized for a multivalued-logic (MVL) algebra where m >
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::e5e48bdeae76ddeed1644f5bbe268fe8
https://doi.org/10.1016/0096-3003(91)90004-7
https://doi.org/10.1016/0096-3003(91)90004-7