{"product_id":"block-flexible-gmres-variant-with-wy-householder-decomposition-von-joel-emanuel-fuchs","title":"Block Flexible GMRES variant with WY\/Householder decomposition","description":"\u003cp\u003eA common problem in mathematics is the solving of linear systems. Finding an exact solution of a linear system is not affordable in most times; and not necessary, if we can choose a proper approximate. There are several families of methods to find such an approximate as techniques based on Krylov subspaces. All those techniques have in common, that they find a proper approximate in a Krylov subspace based on two main techniques we will present (FOM and GMRES), and enriched by a lot of variants of those two techniques (restarted, truncated, preconditioned etc.). All those variants appear in dual implementations, namely in a Gram-Schmidt and a Householder implementation. This is true as long as linear systems with a single right-hand side are considered. Considering multiple right-hand sides, the present literature only presents Block GMRES techniques using Gram-Schmidt orthogonalization (¿Block¿ implies the multiple right-hand side). This book closes this gap in literature by presenting a Flexible Block GMRES technique for linear systems with multiple right-hand sides using the Householder orthogonalization or - as it is called for multiple right-hand sides -- the WY decomposition.\u003c\/p\u003e\u003cdiv class=\"aw-variant-hidden-subtitle-div\" id=\"aw-variant-subtitle-9786204980409\"\u003e\u003ch3\u003eA new technique for Block Flexible GMRES and its variants with a summary from pure GMRES to Block Flexible algorithms\u003c\/h3\u003e\u003c\/div\u003e","brand":"Autorenwelt Shop","offers":[{"title":"Softcover - 9786204980409","offer_id":40339753238621,"sku":"9786204980409","price":55.9,"currency_code":"EUR","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0940\/0622\/files\/4df18193-4c9e-429a-9a39-bd1174453772.jpg?v=1750311731","url":"https:\/\/shop.autorenwelt.de\/products\/block-flexible-gmres-variant-with-wy-householder-decomposition-von-joel-emanuel-fuchs","provider":"Autorenwelt Shop","version":"1.0","type":"link"}