Balancing Is Not Always Good (Classic Reprint) - Couverture souple

Snir, Marc

9781332869916: Balancing Is Not Always Good (Classic Reprint)

Couverture souple

ISBN 10 : 1332869912 ISBN 13 : 9781332869916

Editeur : Forgotten Books, 2018

Afficher les exemplaires de cette �dition comportant l?ISBN

0 D'occasion

4 Neuf

De EUR 15,15

Optimal splitting and tree structure shape algorithm performance. This book introduces practical tools for analyzing how recurrences describe the running time of divide-and-conquer algorithms. It connects differences, convexity, and concavity to the way work is distributed as n grows, and shows how to frame these ideas with binary trees.

Two clear sections frame the value: first, a set of theorems that describe when simple, balanced structures minimize cost; and second, a deeper look at how different tree shapes—balanced or heap-like—affect the f-sum and the overall solution to core recurrence relations. Throughout, the text stays focused on concrete results and their implications for algorithm design.

Learn how first- and second-order differences relate to monotonicity, convexity, and cost.

See how balanced and heap trees influence minimal f-sum in recurrences.

Explore when the optimal strategy is to split evenly versus becoming more unbalanced.

Understand error estimates that compare rational-domain solutions to integer-domain recurrences.

Ideal for readers of advanced algorithms, discrete math, and performance analysis who want a rigorous, application-oriented treatment of recurrence relations and tree-based costs.

Les informations fournies dans la section � Synopsis � peuvent faire r�f�rence � une autre �dition de ce titre.

�diteur: Forgotten Books
Date d'�dition: 2018
Langue: anglais
ISBN 10: 1332869912
ISBN 13: 9781332869916
Reliure: Broch�
Nombre de pages: 28
Coordonn�es du fabricant: Copytech (UK) Ltd, Trading as Printondemand-worldwide.com
gpsr@podww.com

9 Culley Court
Orton Southgate
Peterborough
Cambridgeshire
PE2 6WA
Royaume-Uni
Personne responsable: Easy Access System Europe O�, 16879218
+358405003575
gpsr.requests@easproject.com

Mustam�e tee 50
Tallinn
10621
Estonie

R�sultats de recherche pour Balancing Is Not Always Good (Classic Reprint)

Image fournie par le vendeur

Balancing Is Not Always Good (Classic Reprint)

Marc Snir

Edit� par Forgotten Books, 2018

ISBN 10 : 1332869912 ISBN 13 : 9781332869916

Neuf Paperback

impression � la demande

Vendeur : Forgotten Books, London, Royaume-Uni

�valuation du vendeur 4 sur 5 �toiles

Paperback. Etat : New. Print on Demand. This book delves into the complexities of recurrence relations that arise within divide and conquer algorithms, challenging the commonly held notion known as the "Balancing Principle." The author meticulously examines scenarios where the principle stands valid, discerning that it holds true when the function representing the cost of combining solutions, denoted as f, exhibits convexity. However, when f demonstrates concavity, an optimal solution is achieved by deliberately introducing imbalance. The author meticulously formulates recurrence relations to express the time complexity of divide and conquer algorithms, establishing a functional equation framework for analysis. Through the study of convex and concave functions, the book illuminates the conditions under which the Balancing Principle remains valid. Expanding on this, the author presents a strategy for solving recurrence relations involving concave functions, thereby revealing that the optimal strategy in such cases involves unbalancing rather than maintaining equal-sized subproblems. This book significantly contributes to the theoretical understanding of algorithm analysis, particularly in the context of divide and conquer approaches. Its insights challenge conventional wisdom and provide valuable guidance for researchers and practitioners seeking to optimize the performance of algorithms. This book is a reproduction of an important historical work, digitally reconstructed using state-of-the-art technology to preserve the original format. In rare cases, an imperfection in the original, such as a blemish or missing page, may be replicated in the book. print-on-demand item. N� de r�f. du vendeur 9781332869916_0

Contacter le vendeur