Zobrazeno 1 - 10
of 139
pro vyhledávání: '"Chansangiam, P."'
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 9, Iss 5, Pp 11452-11467 (2024)
We characterized weighted spectral geometric means (SGM) of positive definite matrices in terms of certain matrix equations involving metric geometric means (MGM) $ \sharp $ and semi-tensor products $ \ltimes $. Indeed, for each real number $ t $ and
Externí odkaz:
https://doaj.org/article/c93bba488f184ebcb25db788ed3e62ea
Autor:
Arnon Ploymukda, Pattrawut Chansangiam
Publikováno v:
AIMS Mathematics, Vol 8, Iss 11, Pp 26153-26167 (2023)
We extend the notion of classical metric geometric mean (MGM) for positive definite matrices of the same dimension to those of arbitrary dimensions, so that usual matrix products are replaced by semi-tensor products. When the weights are arbitrary re
Externí odkaz:
https://doaj.org/article/fd1e42f99abf460a819a4f610ae7d4fc
We show how to construct new Finsler metrics, in two and three dimensions, whose indicatrices are pedal curves or pedal surfaces of some other curves or surfaces. These Finsler metrics are generalizations of the famous slope metric, also called Matsu
Externí odkaz:
http://arxiv.org/abs/2101.12469
Autor:
Pattrawut Chansangiam, Arnon Ploymukda
Publikováno v:
AIMS Mathematics, Vol 8, Iss 10, Pp 23519-23533 (2023)
We investigate the Riccati matrix equation $ X A^{-1} X = B $ in which the conventional matrix products are generalized to the semi-tensor products $ \ltimes $. When $ A $ and $ B $ are positive definite matrices satisfying the factor-dimension condi
Externí odkaz:
https://doaj.org/article/22fcb1d884534e78b3b4674a98c3b224
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
The geometry on a slope of a mountain is the geometry of a Finsler metric, called here the {\it slope metric}. We study the existence of globally defined slope metrics on surfaces of revolution as well as the geodesic's behavior. A comparison between
Externí odkaz:
http://arxiv.org/abs/1811.02123
We show that a non-compact (forward) complete Finsler manifold whose Holmes- Thompson volume is infinite admits no non-trivial convex functions. We apply this result to some Finsler manifolds whose Busemann function is convex.
Externí odkaz:
http://arxiv.org/abs/1811.02121
Publikováno v:
AIMS Mathematics, Vol 7, Iss 5, Pp 8471-8490 (2022)
We consider the two-dimensional space-time fractional differential equation with the Caputo's time derivative and the Riemann-Liouville space derivatives on bounded domains. The equation is subjected to the zero Dirichlet boundary condition and the z
Externí odkaz:
https://doaj.org/article/b29b1351e6c64ce392054fca0561eb93
Publikováno v:
AIMS Mathematics, Vol 7, Iss 4, Pp 5386-5407 (2022)
We develop an effective algorithm to find a well-approximate solution of a generalized Sylvester-transpose matrix equation where all coefficient matrices and an unknown matrix are rectangular. The algorithm aims to construct a finite sequence of appr
Externí odkaz:
https://doaj.org/article/f9568046155f43dc80ddc327bf5d0c62