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Topic: Analysis of algorithms

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In the News (Sun 19 Nov 17)

  Analysis of algorithms - Wikipedia, the free encyclopedia
Usually the efficiency or complexity of an algorithm is stated as a function relating the input length to the number of steps (time complexity) or storage locations (space or memory complexity) required to execute the algorithm.
Algorithm analysis is an important part of a broader computational complexity theory, which provides theoretical estimates for the resources needed by any algorithm which solves a given computational problem.
In theoretical analysis of algorithms it is common to estimate their complexity in asymptotic sense, i.e., to estimate the complexity function for reasonably large length of input.
en.wikipedia.org /wiki/Analysis_of_algorithms   (515 words)

 Probabilistic analysis of algorithms (Luc Devroye)
Analysis of Algorithms 2003, to be held in San Miniato, Italy, near Pisa, from 22-28 June 2003.
Analysis of Algorithms 2005, to be held in Barcelona from 6-10 June 2005: still undecided on this one.
Analysis of Algorithms 2006 (AofA 2006), to be held in Alden Biesen, Belgium, from 2-8 July 2006.
cg.scs.carleton.ca /~luc/aa.html   (1526 words)

 Analysis - Wikipedia, the free encyclopedia
Analysis of variance, a collection of statistical models and their associated procedures which compare means by splitting the overall observed variance into different parts
Chemical analysis, the analysis of material samples to gain an understanding of their chemical composition and structure
Structural analysis, an area of civil and structural engineering in which the deformations, deflections, internal forces and stresses of structures are analyzed
en.wikipedia.org /wiki/Analysis   (671 words)

 Numerical analysis - Facts, Information, and Encyclopedia Reference article   (Site not responding. Last check: 2007-10-21)
Numerical analysis is the study of algorithms for the problems of continuous mathematics (as distinguished from discrete mathematics).
A related art is to find stable algorithms for solving ill-posed problems, which generally requires finding a well-posed problem whose solution is close to that of the ill-posed problem and solving this well-posed problem instead.
Root-finding algorithms are used to solve nonlinear equations (they are so named since a root of a function is an argument for which the function yields zero).
www.startsurfing.com /encyclopedia/n/u/m/Numerical_analysis.html   (1616 words)

 Citations: Automatic average--case analysis of algorithms - Flajolet, Salvy, Zimmermann (ResearchIndex)
Analysis of live heap space has an important di erence from all these other analyses: it involves explicit analysis of the graph structure of the....
Analysis of live heap space has an important difference from all these other analyses: it involves explicit analysis of the graph structure of the data.
It does the analysis and via an implementation of complex asymptotic methods and singularity analysis, it is also able to find automatically the asymptotic form of the coefficients: The number of trains of size n satisfies the estimate trainn n 0:07097007911 Delta 1:930298068 n : 6....
citeseer.ist.psu.edu /context/255838/119740   (3212 words)

 Eighth Seminar on Analysis of Algorithms 2002 -- Strobl, Austria
Analysis of Algorithms 2002 conference, which was held from June 23-29, 2002, in Strobl at the Wolfgangsee in Salzburg, Austria.
Predicting the performance of algorithms is a likely outgrowth of ongoing research in analytic combinatorics and the analysis of random discrete structures.
The focus of this workshop is the average case analysis of algorithms, and its relation to the wider areas of analytic combinatorics, exact and limiting distributions, formal techniques, probability theory, combinatorics and computer science.
www.geometrie.tuwien.ac.at /AofA2002   (289 words)

 Fibonacci Numbers
By analyzing an algorithm, we gain a better understanding of where the fast and slow parts are, and what to work on or work around in order to speed it up.
This is an iterative algorithm (one that uses loops instead of recursion) so we analyze it a little differently than we would a recursive algorithm.
Analysis of recursive program space is more complicated: the space used at any time is the total space used by all recursive calls active at that time.
www.ics.uci.edu /~eppstein/161/960109.html   (3061 words)

 Citations: An Introduction to the Analysis of Algorithms - Sedgewick, Flajolet (ResearchIndex)
Citations: An Introduction to the Analysis of Algorithms - Sedgewick, Flajolet (ResearchIndex)
Flajolet, An Introduction to the Analysis of Algorithms.
Sedgewick and P. Flajolet, An Introduction to the Analysis of Algorithms, Addison-Wesley, 1996.
citeseer.ist.psu.edu /context/57748/0   (744 words)

 Citations: Experimental Analysis of Algorithms - McGeoch (ResearchIndex)
Citations: Experimental Analysis of Algorithms - McGeoch (ResearchIndex)
Suitable analysis of data may show features which are not clear from a simple (graphical) presentation.
The key idea that this dissertation tries to emphasize is the use of a systematic methodology to study parallel algorithms from both a theoretical and experimental viewpoint.
citeseer.ist.psu.edu /context/36645/0   (1390 words)

 Analysis of Algorithms
Give an algorithm that solves a problem, we would like to be able to predict with confidence how long it will take, how much memory it will use, or how much of some other scarce resource it will consume.
The main difference between applying the scientific method to the natural sciences and to the analysis of algorithms is that the "universe" we are observing is the computer itself.
The observation that one algorithm is 10 times faster than another is unlikely to escape the notice of someone who waits 3 seconds for one to finish and 30 seconds for the other, but it is easy to overlook a small constant in a mathematical analysis.
www.cs.princeton.edu /introcs/41analysis/index.php   (5417 words)

 Computational Geometry, Algorithms and Applications
For many geometric problems the early algorithmic solutions were either slow or difficult to understand and implement.
In recent years a number of new algorithmic techniques have been developed that improved and simplified many of the previous approaches.
Readers are assumed to have a basic knowledge of the design and analysis of algorithms and data structures: they should be familiar with big-Oh notation and simple algorithmic techniques like sorting, binary search, and balanced search trees.
www.cs.uu.nl /geobook   (750 words)

 Citations: An Introduction to the Analysis of Algorithms - Rawlins, What (ResearchIndex)
It is helpful to note here that, when no deadlines are imposed, computations for which inputs arrive while the algorithm is in progress are referred to as on line [27, 33, 35, 36] incremental [21, 22, 49, 59] dynamic [11, 12, 67] and updating [20, 23, 28, 38, 53, 54, 62, 66] It is also....
The adjectives updating, incremental, and dynamic are also often used to refer to algorithms that receive and process new data [4, 9, 10, 11] Examples of real time computations include sorting a sequence of numbers, computing the convex hull of a set of points in the plane, and finding the....
an introduction to the analysis of algorithms, gregory j.e.
citeseer.ist.psu.edu /context/67041/0   (1263 words)

 Introduction to the Design & Analysis of Algorithms < Logique floue
Introduction to Design and Analysis of Algorithms introduces the reader to the design and analysis of algorithms in a truly innovative way.
What this translates into is a student-friendly, pedagogically sound approach that is a perfect fit for today's students in a course on design and analysis of algorithms.
Includes mathematical analysis of both non-recursive and recursive algorithms, as well as empirical analysis and algorithm visualization.
www.robopolis.com /produit/1111/66/Logique-floue/Introduction-to-the-Design--Analysis-of-Algorithms.php   (378 words)

 The Math Forum - Math Library - Algorithms   (Site not responding. Last check: 2007-10-21)
Properties of random strings, permutations, trees, and graphs are thus essential ingredients in the analysis of algorithms.
An on-line journal devoted to experimental work in the design and analysis of algorithms and data structures, with two principal aims: to stimulate research in algorithms based upon implementation and experimentation; in particular, to encourage testing,...more>>
Genetic algorithms are computer programs that model evolution and natural selection in looking for 'good' solutions to problems that do not have a prescribed solution procedure.
mathforum.org /library/topics/algorithms   (2315 words)

 Citations: Probabilistic Analysis of Algorithms - Hofri (ResearchIndex)
Citations: Probabilistic Analysis of Algorithms - Hofri (ResearchIndex)
Analysis of recursive algorithms by the contraction method 6 Theorem 3.1 For all n 2 IN and some constant C 0 holds ae i d....
....literature on theoretical computer science, especially on average case analysis of algorithms, can therefore 5 be used fruitfully in asymptotic enumeration.
citeseer.ist.psu.edu /context/62246/0   (1454 words)

 Algorithms - Wikibooks, collection of open-content textbooks
This book is part two of a series of three computer science textbooks on algorithms, starting with Data Structures and ending with Advanced Data Structures and Algorithms.
Or, if you think the topic is fundamental, you can go to either the Algorithms discussion page or the Data Structures discussion page and make a proposal.
Additionally, implementations of the algorithms (in either Ada, C, Python, Java, or Scheme) as an appendix are welcome.
en.wikibooks.org /wiki/Computer_Science:Algorithms   (773 words)

 Date Algorithms   (Site not responding. Last check: 2007-10-21)
The information contained in the sections listed below is a guide to computer programmers interested in implementing date algorithms in a variety of languages and on a wide range of hardware platforms.
However, I would ask that if this is done for any of the algorithms that are not known to be fully documented elsewhere, a reference be made to this document.
Various calendar dates (Julian, Gregorian, and Rata Die) are used and produced by the algorithms that are presented but no attempt has been made to account for various problems associated with the general use of historical dates.
vsg.cape.com /~pbaum/date/date0.htm   (352 words)

 A Theoretician's Guide to the Experimental Analysis of Algorithms - Johnson (ResearchIndex)
It is based on lessons learned by the author over the course of more than a decade of experimentation, survey paper writing, refereeing, and lively discussions with other experimentalists.
Although written from the perspective of a theoretical computer scientist, it is intended to be of use to researchers from all fields who want to study algorithms experimentally.
11 Experimental analysis of algorithms (context) - McGeoch - 2001 ACM
citeseer.ist.psu.edu /johnson96theoreticians.html   (645 words)

 Analysis of Algorithms
ANALYSIS OF ALGORITHMS is the branch of theoretical computer science concerned with characterizing the computer resources required by an algorithm.
We wish to characterize these resource requirements as functions of one or more of the "essential parameters" (from the standpoint of the resource to be measured) describing the data operated on by the algorithm.
The interesting questions in analysis of algorithms usually are concerned with values of the "essential parameters" that tend to make an algorithm run slowly -- for example, n tending to infinity, if n is the size of a list to be sorted.
faculty.niagara.edu /boxer/essays/prog/analysis.htm   (988 words)

 Amazon.com: Introduction to the Design and Analysis of Algorithms: Books: Anany V. Levitin   (Site not responding. Last check: 2007-10-21)
Based on a new classification of algorithm design techniques and a clear delineation of analysis methods, Introduction to the Design and Analysis of Algorithms presents the subject in a truly innovative manner.
An Introduction to the Analysis of Algorithms by Robert Sedgewick
This book emphasizes more the textual explanation of algorithms for practical applications and not as much on theoretical proofs etc. The exercises at the end of the chapters strongly reinforce the contents and insightful hints to every exercise are given at the end of the book.
www.amazon.com /exec/obidos/tg/detail/-/0201743957?v=glance   (1554 words)

 Open Directory - Computers: Algorithms
Analysis Of Algorithms - An initiative of attendees of the 1997 Dagstuhl seminar, these pages provide research papers, a bulletin board, and links to researchers and other resources in the field.
Dictionary of Algorithms, Data Structures, and Problems - A dictionary of algorithms, algorithmic techniques, data structures, and archetypical problems, with related definitions.
Stony Brook Algorithm Repository - This is a collection of implementations for 75 fundamental algorithms problems, including data structures, numerical and combinatorial algorithms,graph algorithms, and computational geometry.
dmoz.org /Computers/Algorithms   (556 words)

 An Introduction to the Analysis of Algorithms
Quite a few algorithms are presented and analyzed in great detail, but the emphasis is on the analysis techniques rather than on the algorithms.
This is in contrast with Cormen,Leiserson and Rivest, or Sedgewick's own "Algorithms" series which emphasize the algorithms rather than the analysis.
If you're looking for a catalog of algorithms along with explanations, you want a different book, but if you want to know how to analyze that bizarre code (which Fred in the next cubicle wrote) and prove that it works well (or doesn't) then this is an excellent choice.
www.centrasoft.com /d1/020140009X.htm   (268 words)

 An Introduction to the Analysis of Algorithms   (Site not responding. Last check: 2007-10-21)
Easy to read, and well done.It cover the necessary staff that every new commer to the field should know, can be used as a refference,and it make a good teaching material for graduate student.
This is an excellent book on the analysis of algorithms.
More specifically, it is a book on the mathematics needed for the analysis of algorithms.
www.programming-reviews.com /An_Introduction_to_the_Analysis_of_Algorithms_020140009X.html   (237 words)

 Citations: Smoothed Analysis of Algorithms: Why the Simplex Algorithm Usually Takes Polynomial Time - Spielman, Teng ...
The smoothed complexity of an algorithm is max E y2U (x) C(y) where x ranges over all inputs, y is a random instance in a....
Thus, the two techniques of RAM and smoothed analysis are given a unified interpretation in terms of the adversary cost increase model.
In formal verification, an algorithm with high inherent complexity is not necessarily useless.
citeseer.ist.psu.edu /context/2039044/0   (1247 words)

 Analysis of Algorithms: An Active Learning Approach
The goal of Analysis of Algorithms is to raise awareness of the effect that algorithms have on the efficiency of a program and to develop the necessary skills to analyze general algorithms used in programs.
The text presents the material with the expectation that it can be used with active and cooperative learning methodology, based on the premise that students learn more effectively and retain more information longer when they are active participants in the learning process.
To accomplish this, the chapters are clear and complete to encourage students to prepare by reading before class, and the text is filled with exciting examples and exercises that look at the efficiency of various algorithms to solve a problem.
www.jbpub.com /catalog/0763716340   (188 words)

 Powell's Books - CSLI Lecture Notes #102: Selected Papers on Analysis of Algorithms by Donald E Knuth   (Site not responding. Last check: 2007-10-21)
Analysis of Algorithms is the fourth in a series of collected works by world-renowned computer scientist Donald Knuth.
Analysis of Algorithms, which has grown to be a thriving international discipline, is the unifying theme underlying Knuth's well known book The Art of Computer Programming.
The present volume, the fourth in a series of his collected works, is devoted to Analysis of Algorithms, an important subfield of computer science that Knuth founded in the 1960s and still considers his main life's work.
www.powells.com /biblio?PID=719&cgi=product&isbn=1575862123   (714 words)

 Amazon.com: Introduction to Algorithms, Second Edition: Books: Thomas H. Cormen,Charles E. Leiserson,Ronald L. ...   (Site not responding. Last check: 2007-10-21)
Algorithms for graphing problems (used in such real-world business problems as optimizing flight schedules or flow through pipelines) come next.
There are books on algorithms that are rigorous but incomplete and others that cover masses of material but lack rigor.
The algorithms are described in English and in a pseudocode designed to be readable by anyone who has done a little programming.
www.amazon.com /exec/obidos/tg/detail/-/0262032937?v=glance   (2262 words)

 Analysis of Algorithms
BLG 232E - Analysis of Algorithms, Spring 2006
Algorithm Design, Addison Wesley, 2006 (ordered for the Central Library).
-Introduction to Algorithms, Cormen, Leiserson and Rivest, The MIT Pres/McGraw-Hill.
www.cs.itu.edu.tr /~oktug/AA/aa.html   (59 words)

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