Zobrazeno 1 - 10
of 625
pro vyhledávání: '"least squares solution"'
Autor:
Jin Wang
Publikováno v:
Electronic Research Archive, Vol 32, Iss 5, Pp 2976-2993 (2024)
This paper mainly studies the least-squares solutions of matrix equation $ AXB = C $ under a semi-tensor product. According to the definition of the semi-tensor product, the equation is transformed into an ordinary matrix equation. Then, the least-sq
Externí odkaz:
https://doaj.org/article/482326d3d2f44473beec1b9f46db8eac
Publikováno v:
Electronic Research Archive, Vol 32, Iss 4, Pp 2789-2804 (2024)
We have considered a generalized Sylvester-transpose matrix equation $ AXB + CX^TD = E, $ where $ A, B, C, D, $ and $ E $ are given rectangular matrices over a generalized quaternion skew-field, and $ X $ is an unknown matrix. We have applied certain
Externí odkaz:
https://doaj.org/article/c3394ac65d0e4c00b6b2fbe111713877
Publikováno v:
AIMS Mathematics, Vol 8, Iss 11, Pp 27725-27741 (2023)
The paper deals with the third-order quaternion tensor equation. Based on the Qt multiplication operation, we derive solvability conditions and also get the general solution, the least-squares solution, the minimum-norm solution and the minimum-norm
Externí odkaz:
https://doaj.org/article/6ee932c4af3b4f2f9039bafcbb475516
Publikováno v:
Axioms, Vol 13, Iss 10, p 656 (2024)
In this study, we obtained results for the computation of eigen-pairs, singular value decomposition, pseudoinverse, and the least squares problem for elliptic quaternion matrices. Moreover, we established algorithms based on these results and provide
Externí odkaz:
https://doaj.org/article/adead5ed861f4dc7803e6ffb5c692c81
Autor:
Vladislav N. Kovalnogov, Ruslan V. Fedorov, Igor I. Shepelev, Vyacheslav V. Sherkunov, Theodore E. Simos, Spyridon D. Mourtas, Vasilios N. Katsikis
Publikováno v:
AIMS Mathematics, Vol 8, Iss 11, Pp 25966-25989 (2023)
Due to its significance in science and engineering, time-varying linear matrix equation (LME) problems have received a lot of attention from scholars. It is for this reason that the issue of finding the minimum-norm least-squares solution of the time
Externí odkaz:
https://doaj.org/article/c2cdc5ea9599418daf24a3b7c4c1605c
Publikováno v:
AIMS Mathematics, Vol 8, Iss 5, Pp 11781-11798 (2023)
Consider a linear system Ax=b where the coefficient matrix A is rectangular and of full-column rank. We propose an iterative algorithm for solving this linear system, based on gradient-descent optimization technique, aiming to produce a sequence of w
Externí odkaz:
https://doaj.org/article/1d00742ef064475095746d8cf8ffd5a4
Publikováno v:
Symmetry, Vol 16, Iss 3, p 361 (2024)
This paper considers the Hermitian solutions of a new system of commutative quaternion matrix equations, where we establish both necessary and sufficient conditions for the existence of solutions. Furthermore, we derive an explicit general expression
Externí odkaz:
https://doaj.org/article/6a23317777a045928c6f808769ac931f
Autor:
Jin Zhong, Yilin Zhang
Publikováno v:
AIMS Mathematics, Vol 7, Iss 5, Pp 7606-7624 (2022)
In this paper, we study a kind of dual generalized inverses of dual matrices, which is called the dual group inverse. Some necessary and sufficient conditions for a dual matrix to have the dual group inverse are given. If one of these conditions is s
Externí odkaz:
https://doaj.org/article/c8be021656a84737a434a55036774fba
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