An Efficient Block Variant of GMRES ; CU-CS-957-03
نویسنده
چکیده
منابع مشابه
A Modified Block Flexible GMRES Method with Deflation at Each Iteration for the Solution of Non-Hermitian Linear Systems with Multiple Right-Hand Sides
We propose a variant of the block GMRES method for the solution of linear systems of equations with multiple right-hand sides. We investigate a deflation strategy to detect when a linear combination of approximate solutions is already known that avoids performing expensive computational operations with the system matrix. We specifically focus on the block GMRES method incorporating deflation at...
متن کاملDynamic block GMRES: an iterative method for block linear systems
We present variants of the block-GMRES(m) algorithms due to Vital and the block-LGMRES(m,k) by Baker, Dennis and Jessup, obtained with replacing the standard QR factorization by a rank-revealing QR factorization in the Arnoldi process. The resulting algorithm allows for dynamic block deflation whenever there is a linear dependency between the Krylov vectors or the convergence of a right-handsid...
متن کاملFlexible Variants of Block Restarted GMRES Methods with Application to Geophysics
In a wide number of applications in computational science and engineering the solution of large linear systems of equations with several right-hand sides given at once is required. Direct methods based on Gaussian elimination are known to be especially appealing in that setting. Nevertheless when the dimension of the problem is very large, preconditioned block Krylov space solvers are often con...
متن کاملبررسی همگرایی روش GMRES برای ماتریسهای همراه بلوکی از طریق غلافهای عددی چندجملهای وار
<span style="color: #222222; font-family: Arial, Helvetica, sans-serif; font-size: small; font-style: normal; font-variant-ligatures: normal; font-variant-caps: normal; font-weight: 400; letter-spacing: normal; orphans: 2; text-align: start; text-indent: 0px; text-transform: none; white-space: normal; widows: 2; word-spacing: 0px; -webkit-text-stroke-width: 0px; background-color: #ffffff; text-...
متن کاملAdsorption of Pyrazolone[HPMSP1,Calix[4]-arene, Cu(II) and Cs on Carbon Nanotube
The adsorption of pyrazolone(HPMSP), Calix[4]-arene,Cu and Cs, on carbon nanotube(CNT) atroom temperature has been investigated using spectroscopy.Uv spectroscopy indicated that pyrazolone molecules adsorbed on carbon nanotube at roomtemperature in compared calix[4]- arene molecules adsorbed approximately same.The amount ofpyrazolone(HPMSP) adsorb 3.8. le mol/g and amount calix[4]-arene adsorbe...
متن کامل