{"product_id":"spectral-perturbation-optimization-of-matrix-pencils-von-hannes-gernandt","title":"Spectral Perturbation \u0026 Optimization of Matrix Pencils","description":"In this thesis we study the eigenvalues of linear matrix pencils and their behavior under perturbations of the pencil coefficients.\nIn particular we address\n   (i) Possibility of eigenvalue assignment under structured rank-one perturbations;\n   (ii) Distance to nearest pencils with a prescribed set of eigenvalues in norm and gap distance;\n   (iii) Computing nearest matrix pencils with prescribed eigenvalues using structured perturbations.\nIn (i) and (ii) we exploit the connection between matrix pencils and certain subspaces via their Weyr characteristics.\nThis provides a way of lifting perturbation measures for subspaces such as the gap distance to the set of matrix pencils.\nIn (iii) one has to solve a large scale non-convex optimization problem which appears e.g. in optimal redesign of integrated circuits.\nWe show how feasible solutions close to the optimal value can be computed.\nFinally, this is used to improve the bandwidth of two circuits (two-stage CMOS \u0026amp; μA741).\u003cdiv class=\"aw-variant-hidden-subtitle-div\" id=\"aw-variant-subtitle-9783863602468\"\u003e\u003ch3\u003e\u003c\/h3\u003e\u003c\/div\u003e","brand":"Autorenwelt Shop","offers":[{"title":"Buch - 9783863602468","offer_id":40327582187613,"sku":"9783863602468","price":19.9,"currency_code":"EUR","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0940\/0622\/files\/0f69452a-f1aa-40d1-8847-14df06b72f59.jpg?v=1749021450","url":"https:\/\/shop.autorenwelt.de\/products\/spectral-perturbation-optimization-of-matrix-pencils-von-hannes-gernandt","provider":"Autorenwelt Shop","version":"1.0","type":"link"}