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The Complexity of Zadeh's Pivot Rule (Record no. 32341)

MARC details
000 -LEADER
fixed length control field 02691nam a22003617a 4500
003 - CONTROL NUMBER IDENTIFIER
control field KnowledgeUnlatched
005 - DATE AND TIME OF LATEST TRANSACTION
control field 20210303104712.0
006 - FIXED-LENGTH DATA ELEMENTS--ADDITIONAL MATERIAL CHARACTERISTICS
fixed length control field m o d
007 - PHYSICAL DESCRIPTION FIXED FIELD--GENERAL INFORMATION
fixed length control field cr u||||||||||
008 - FIXED-LENGTH DATA ELEMENTS--GENERAL INFORMATION
fixed length control field 210129p20202021xx o u00| u eng d
037 ## - SOURCE OF ACQUISITION
Institution to which field applies BiblioBoard
020 ## - INTERNATIONAL STANDARD BOOK NUMBER
International Standard Book Number 9783832552060
024 8# - OTHER STANDARD IDENTIFIER
Standard number or code https://doi.org/10.30819/5206
029 1# - OTHER SYSTEM CONTROL NUMBER (OCLC)
OCLC library identifier https://library.biblioboard.com/ext/api/media/4fe41f5a-625b-47f8-bbb5-3e2ced4dc29f/assets/thumbnail.jpg
040 ## - CATALOGING SOURCE
Original cataloging agency ScCtBLL
Transcribing agency ScCtBLL
100 1# - MAIN ENTRY--PERSONAL NAME
Personal name Hopp, Alexander Vincent
Relator term author.
245 04 - TITLE STATEMENT
Title The Complexity of Zadeh's Pivot Rule
Statement of responsibility, etc. Alexander Vincent Hopp.
264 #1 - PRODUCTION, PUBLICATION, DISTRIBUTION, MANUFACTURE, AND COPYRIGHT NOTICE
Name of producer, publisher, distributor, manufacturer Logos Verlag Berlin,
300 ## - PHYSICAL DESCRIPTION
Extent 1 online resource (1 p.)
506 0# - RESTRICTIONS ON ACCESS NOTE
Terms governing access Access copy available to the general public.
Standardized terminology for access restriction Unrestricted
Source of term star
520 ## - SUMMARY, ETC.
Summary, etc. The Simplex algorithm is one of the most important algorithms in discrete optimization, and is the most used algorithm for solving linear programs in practice. In the last 50 years, several pivot rules for this algorithm have been proposed and studied. For most deterministic pivot rules, exponential lower bounds were found, while a probabilistic pivot rule exists that guarantees termination in expected subexponential time. One deterministic pivot rule that is of special interest is Zadeh's pivot rule since it was the most promising candidate for a polynomial pivot rule for a long time. In 2011, Friedmann proved that this is not true by providing an example forcing the Simplex algorithm to perform at least a subexponential number of iterations in the worst case when using Zadeh's pivot rule. Still, it was not known whether Zadeh's pivot rule might achieve subexponential worst case running time. Next to analyzing Friedmann's construction in detail, we develop the first exponential lower bound for Zadeh's pivot rule. This closes a long-standing open problem by ruling out this pivot rule as a candidate for a deterministic, subexponential pivot rule in several areas of linear optimization and game theory.
588 0# - SOURCE OF DESCRIPTION NOTE
Source of description note Description based on print version record.
650 #7 - SUBJECT ADDED ENTRY--TOPICAL TERM
Topical term or geographic name entry element Technology & Engineering / Agriculture
Source of heading or term bisacsh
650 #7 - SUBJECT ADDED ENTRY--TOPICAL TERM
Topical term or geographic name entry element Computers / Computer Science
Source of heading or term bisacsh
650 #7 - SUBJECT ADDED ENTRY--TOPICAL TERM
Topical term or geographic name entry element Mathematics
Source of heading or term bisacsh
650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM
Topical term or geographic name entry element Mathematics
655 #0 - INDEX TERM--GENRE/FORM
Genre/form data or focus term Electronic books.
758 ## -
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-- Knowledge Unlatched
-- https://openresearchlibrary.org/module/2774bc74-146a-484f-a7ba-ab1d6a09bbfb
856 40 - ELECTRONIC LOCATION AND ACCESS
Uniform Resource Identifier <a href="https://openresearchlibrary.org/content/4fe41f5a-625b-47f8-bbb5-3e2ced4dc29f">https://openresearchlibrary.org/content/4fe41f5a-625b-47f8-bbb5-3e2ced4dc29f</a>
Public note View this content on Open Research Library.
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Holdings
Withdrawn status Lost status Source of classification or shelving scheme Damaged status Not for loan Home library Current library Shelving location Date acquired Total Checkouts Date last seen Uniform Resource Identifier Price effective from Koha item type
          Digital Library Digital Library Online Access 03.03.2021   03.03.2021 https://openresearchlibrary.org/content/4fe41f5a-625b-47f8-bbb5-3e2ced4dc29f 03.03.2021 eBook

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