{"title":"Martin Hanke","description":"","products":[{"product_id":"conjugate-gradient-type-methods-for-ill-posed-problems-book-martin-hanke-9780367449117","title":"Conjugate Gradient Type Methods for Ill-Posed Problems","description":"The conjugate gradient method is a powerful tool for the iterative solution of self-adjoint operator equations in Hilbert space.This volume summarizes and extends the developments of the past decade concerning the applicability of the conjugate gradient method (and some of its variants) to ill posed problems and their regularization. Such problems occur in applications from almost all natural and technical sciences, including astronomical and geophysical imaging, signal analysis, computerized tomography, inverse heat transfer problems, and many more  This Research Note presents a unifying analysis of an entire family of conjugate gradient type methods. Most of the results are as yet unpublished, or obscured in the Russian literature. Beginning with the original results by Nemirovskii and others for minimal residual type methods, equally sharp convergence results are then derived with a different technique for the classical Hestenes-Stiefel algorithm. In the final chapter some of these results are extended to selfadjoint indefinite operator equations.  The main tool for the analysis is the connection of conjugate gradient  type methods to real orthogonal polynomials, and elementary  properties of these polynomials. These prerequisites are provided in  a first chapter. Applications to image reconstruction and inverse  heat transfer problems are pointed out, and exemplarily numerical  results are shown for these applications.","brand":"WoB","offers":[{"title":"- \/ - \/ -","offer_id":50697603416337,"sku":"","price":0.0,"currency_code":"GBP","in_stock":true},{"title":"GB \/ NEW \/ GARDNERS","offer_id":50697605644561,"sku":"NGR9780367449117","price":0.0,"currency_code":"GBP","in_stock":false}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0784\/4072\/6801\/files\/0367449110.jpg?v=1750909271"},{"product_id":"martini-hankii-de-silesiorum-rebus-ab-anno-christi-550-ad-1170-exercitationes-book-martin-hanke-9781175014313","title":"Martini Hankii De Silesiorum Rebus Ab Anno Christi 550. Ad 1170. Exercitationes","description":"This is a reproduction of a book published before 1923. This book may have occasional imperfections such as missing or blurred pages, poor pictures, errant marks, etc. that were either part of the original artifact, or were introduced by the scanning process. We believe this work is culturally important, and despite the imperfections, have elected to bring it back into print as part of our continuing commitment to the preservation of printed works worldwide. We appreciate your understanding of the imperfections in the preservation process, and hope you enjoy this valuable book. ++++ The below data was compiled from various identification fields in the bibliographic record of this title. This data is provided as an additional tool in helping to ensure edition identification: ++++ Martini Hankii De Silesiorum Rebus Ab Anno Christi 550. Ad 1170. Exercitationes: Additi Sunt Indices Quatuor Martin Hanke Bauch, 1705","brand":"WoB","offers":[{"title":"- \/ - \/ -","offer_id":51091159417105,"sku":"","price":0.0,"currency_code":"GBP","in_stock":true},{"title":"US \/ NEW \/ INGRAM","offer_id":51091160138001,"sku":"NIN9781175014313","price":0.0,"currency_code":"GBP","in_stock":false}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0784\/4072\/6801\/files\/1175014311.jpg?v=1767092975"},{"product_id":"martini-hankii-de-silesiorum-nominibus-antiquitates-book-martin-hanke-9781175045898","title":"Martini Hankii de Silesiorum Nominibus Antiquitates","description":null,"brand":"WoB","offers":[{"title":"- \/ - \/ -","offer_id":51601240686865,"sku":"","price":0.0,"currency_code":"GBP","in_stock":true},{"title":"US \/ NEW \/ INGRAM","offer_id":51601240817937,"sku":"NIN9781175045898","price":0.0,"currency_code":"GBP","in_stock":false}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0784\/4072\/6801\/files\/1175045896.jpg?v=1751270216"},{"product_id":"de-silesiorum-maioribus-antiquitates-book-martin-hanke-9781348040729","title":"De Silesiorum Maioribus Antiquitates","description":null,"brand":"WoB","offers":[{"title":"- \/ - \/ -","offer_id":51638707683601,"sku":"","price":0.0,"currency_code":"GBP","in_stock":true},{"title":"US \/ NEW \/ INGRAM","offer_id":51638707912977,"sku":"NIN9781348040729","price":0.0,"currency_code":"GBP","in_stock":false}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0784\/4072\/6801\/files\/1348040726.jpg?v=1750824931"},{"product_id":"de-silesiorum-rebus-ab-anno-christi-550-ad-1170-exercitationes-book-martin-hanke-9781024484434","title":"De Silesiorum Rebus Ab Anno Christi 550. Ad 1170. Exercitationes...","description":"\u003cp\u003eAn interesting and informative look into the life and behavior of crocodiles for young readers. This book covers the physical characteristics, habitat, family life, behavior, and conservation of crocodiles. \u003c\/p\u003e","brand":"WoB","offers":[{"title":"US \/ NEW \/ INGRAM","offer_id":53109215199505,"sku":"NIN9781024484434","price":0.0,"currency_code":"GBP","in_stock":true}]}],"url":"https:\/\/www.worldofbooks.com\/collections\/author-books-by-martin-hanke.oembed","provider":"World of Books ","version":"1.0","type":"link"}