Zobrazeno 1 - 10
of 41
pro vyhledávání: '"M. Tzoumas"'
Autor:
M. Tzoumas, Apostolos Hadjidimos
Publikováno v:
Numerical Algorithms. 86:1391-1419
There have been a couple of papers for the solution of the nonsingular symmetric saddle-point problem using three-parameter iterative methods. In most of them, regions of convergence for the parameters are found, while in three of them, optimal param
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::682cd660b7beb1c3943fe1a544c1f4ff
https://doi.org/10.1007/s11075-020-00938-1
https://doi.org/10.1007/s11075-020-00938-1
Autor:
M. Tzoumas, Apostolos Hadjidimos
Publikováno v:
Numerical Algorithms. 73:665-684
The Linear Complementarity Problem (LCP), with an H+źmatrix coefficient, is solved by using the new "(Projected) Matrix Analogue of the AOR (MAAOR)" iterative method; this new method constitutes an extension of the "Generalized AOR (GAOR)" iterative
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::0f8c98ea3390aa016f754010b91cd285
https://doi.org/10.1007/s11075-016-0112-0
https://doi.org/10.1007/s11075-016-0112-0
Autor:
Apostolos Hadjidimos, M. Tzoumas
Publikováno v:
Journal of Optimization Theory and Applications. 165:545-562
In the present work, we determine intervals of convergence for the various parameters involved for what is known as the generalized accelerated overrelaxation iterative method for the solution of the linear complementarity problem. The convergence in
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::bb00fcbcbf56db7867f9adc417d264d2
https://doi.org/10.1007/s10957-014-0589-4
https://doi.org/10.1007/s10957-014-0589-4
Autor:
Apostolos Hadjidimos, M. Tzoumas
Publikováno v:
Linear Algebra and its Applications. 449:175-193
For the localization of the spectrum of the eigenvalues of a complex square matrix, the classical Gersgorin Theorem was extended by Ostrowski who used the generalized geometric mean of the row and column sums of the matrix. Ostrowski, and Brauer, ext
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::83d110524ba5fb602f06d011db137a2d
https://doi.org/10.1016/j.laa.2014.02.029
https://doi.org/10.1016/j.laa.2014.02.029
Publikováno v:
SIAM Journal on Matrix Analysis and Applications. 33:97-110
The numerous applications of the linear complementarity problem (LCP) in, e.g., the solution of linear and convex quadratic programming, free boundary value problems of fluid mechanics, and moving boundary value problems of economics make its efficie
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::9ea58342ba62b9bfb95eb608b1bcdbd7
https://doi.org/10.1137/100811222
https://doi.org/10.1137/100811222
Nonstationary Extrapolated Modulus Algorithms for the solution of the Linear Complementarity Problem
Autor:
M. Tzoumas, Apostolos Hadjidimos
Publikováno v:
Linear Algebra and its Applications. 431(1-2):197-210
The Linear Complementarity Problem (LCP) has many applications as, e.g., in the solution of Linear and Convex Quadratic Programming, in Free Boundary Value problems of Fluid Mechanics, etc. In the present work we assume that the matrix coefficient M
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::d0e2c9a73cfc965d4caba59a294ebc1c
Autor:
Apostolos Hadjidimos, M. Tzoumas
Publikováno v:
Linear Algebra and its Applications. 430:619-632
The Cayley transform, F ≔ F ( A ) = ( I + A ) - 1 ( I - A ) , with A ∈ C n , n and - 1 ∉ σ ( A ) , where σ ( · ) denotes spectrum, and its extrapolated counterpart F ( ω A ) , ω ∈ C ⧹ { 0 } and - 1 ∉ σ ( ω A ) , are of significant
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::b65d4553c51c9d8e15159dbec9479ab8
https://doi.org/10.1016/j.laa.2008.08.010
https://doi.org/10.1016/j.laa.2008.08.010
Publikováno v:
International Journal of Computational Geometry & Applications. 18:567-597
This article examines the computation of the Delaunay graph and its dual Voronoi diagram of a set of ellipses in the Euclidean plane. We propose the first complete methods, under the exact computation paradigm, for the predicates of an incremental al
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::ac184ea3ee9ddee3328d08d8590b61bd
https://doi.org/10.1142/s0218195908002763
https://doi.org/10.1142/s0218195908002763
Autor:
Apostolos Hadjidimos, M. Tzoumas
Publikováno v:
Linear Algebra and its Applications. 429(10):2465-2480
The Cayley Transform, F : = ( I + A ) - 1 ( I - A ) , with A ∈ C n , n and - 1 ∉ σ ( A ) , where σ ( · ) denotes spectrum, is of significant theoretical importance and interest and has many practical applications. E.g., in the solution of the
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::4db1832e2fea39019c9a56a338f34fcc
Autor:
George M. Tzoumas, Ioannis Z. Emiris
Publikováno v:
Computer-Aided Design. 40:691-700
We study the Voronoi diagram, under the Euclidean metric, of a set of ellipses, given in parametric representation. The article concentrates on the InCircle predicate, which is the hardest to compute, and describes an exact and complete solution. It
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::96d0183db13190b5587dd43363809151
https://doi.org/10.1016/j.cad.2008.05.001
https://doi.org/10.1016/j.cad.2008.05.001