{"product_id":"solving-via-eigenvalues-von-normen-tobias-erbert","title":"Solving Via Eigenvalues","description":"\u003cp\u003eSystems of polynomial equations play an important role in many scientific applications. But it is often rather complex and time-consuming to find all -real and complex- solutions. This book describes an efficient algorithm, which uses eigenvalues to compute all solutions of a given system of polynomial equations. For this, the theory of Gröbner bases is combined with numerical linear algebra.  Also, a comparison to the performance of existing algorithms is given. Furthermore, a new algorithm to compute the primary decomposition of a zero-dimensional ideal and an algorithm to compute the number of real respectively complex roots of a system of polynomial equations using the quadratic form is delineated.   All described algorithms are implemented in the computer algebra system SINGULAR.\u003c\/p\u003e\u003cdiv class=\"aw-variant-hidden-subtitle-div\" id=\"aw-variant-subtitle-9783639387551\"\u003e\u003ch3\u003eA SINGULAR Implementation\u003c\/h3\u003e\u003c\/div\u003e","brand":"Autorenwelt Shop","offers":[{"title":"Softcover - 9783639387551","offer_id":39482399916125,"sku":"9783639387551","price":39.95,"currency_code":"EUR","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0940\/0622\/files\/54cda56d-a2b1-4748-802c-9a76fb24a102.jpg?v=1773467452","url":"https:\/\/shop.autorenwelt.de\/products\/solving-via-eigenvalues-von-normen-tobias-erbert","provider":"Autorenwelt Shop","version":"1.0","type":"link"}