Works (16)

Updated: April 4th, 2024 21:10

2018 journal article

Rank My Update, Please

AMERICAN MATHEMATICAL MONTHLY, 125(1), 61–64.

By: C. Meyer n

TL;DR: This note presents an expression in simply stated terms for the exact rank of a rank-one updated matrix. (via Semantic Scholar)
Source: Web Of Science
Added: August 6, 2018

2015 journal article

Continuity of the Perron root

LINEAR & MULTILINEAR ALGEBRA, 63(7), 1332–1336.

By: C. Meyer n

author keywords: nonnegative matrices; Perron-Frobenius theory; Perron root; 1502; 15B48; 15A18
Source: Web Of Science
Added: August 6, 2018

2012 journal article

STOCHASTIC DATA CLUSTERING

SIAM JOURNAL ON MATRIX ANALYSIS AND APPLICATIONS, 33(4), 1214–1236.

By: C. Meyer* & C. Wessell

author keywords: cluster analysis; Markov chains; Simon-Ando theory
TL;DR: A technique for using the evolution of the system to tell us about its initial structure is developed, and this technique is used to develop an algorithm that takes the varied solutions from multiple data clustering algorithms to arrive at a singleData clustering solution. (via Semantic Scholar)
Source: Web Of Science
Added: August 6, 2018

2012 article

Who's #1?

Langville, A. N., & Meyer, C. D. (2012, July). SCIENTIFIC AMERICAN, Vol. 307, pp. 21–21.

By: A. Langville* & C. Meyer*

Source: Web Of Science
Added: August 6, 2018

2006 journal article

A reordering for the PageRank problem

SIAM JOURNAL ON SCIENTIFIC COMPUTING, 27(6), 2112–2120.

By: A. Langville* & C. Meyer*

author keywords: Markov chains; PageRank; reorderings; power method; convergence; stationary vector; dangling nodes
TL;DR: Results of an experimental comparison are presented, which demonstrate that the reordered PageRank algorithm can provide a speedup of as much as a factor of 6. (via Semantic Scholar)
Source: Web Of Science
Added: August 6, 2018

2006 book

Google's PageRank and beyond: The science of search engine rankings

By: A. Langville & C. Meyer*

TL;DR: This talk will survey some of the concepts that have revolutionized Web search to the extent that it has been charged in Federal Court with driving the direction of commerce on the Internet. (via Semantic Scholar)
UN Sustainable Development Goal Categories
4. Quality Education (OpenAlex)
Source: NC State University Libraries
Added: August 6, 2018

2006 journal article

Updating Markov chains with an eye on Google's PageRank

SIAM JOURNAL ON MATRIX ANALYSIS AND APPLICATIONS, 27(4), 968–987.

By: A. Langville & C. Meyer*

author keywords: Markov chains; updating; stationary vector; PageRank; stochastic complementation; aggregation/disaggregation; Google
TL;DR: An iterative algorithm based on aggregation/disaggregation principles is presented for updating the stationary distribution of a finite homogeneous irreducible Markov chain and it is proven that the algorithm is globally convergent. (via Semantic Scholar)
Source: Web Of Science
Added: August 6, 2018

2005 journal article

A survey of eigenvector methods for Web information retrieval

SIAM REVIEW, 47(1), 135–161.

By: A. Langville n & C. Meyer n

author keywords: eigenvector; Markov chain; information retrieval; HITS; PageRank; SALSA
TL;DR: This survey paper focuses on Web information retrieval methods that use eigenvector computations, presenting the three popular methods of HITS, PageRank, and SALSA. (via Semantic Scholar)
Source: Web Of Science
Added: August 6, 2018

2004 journal article

Deeper Inside PageRank

Internet Mathematics, 1(3), 335–380.

By: A. Langville n & C. Meyer n

TL;DR: A comprehensive survey of all issues associated with PageRank, covering the basic PageRank model, available and recommended solution methods, storage issues, existence, uniqueness, and convergence properties, possible alterations to the basic model, and suggested alternatives to the traditional solution methods. (via Semantic Scholar)
Source: Crossref
Added: August 28, 2020

2004 journal article

Injective properties of complex matrices

American Mathematical Monthly, 111(8), 728.

By: C. Meyer*

Source: NC State University Libraries
Added: August 6, 2018

2003 journal article

Eudoxus meets Cayley

AMERICAN MATHEMATICAL MONTHLY, 110(10), 912–927.

By: R. Chandler*, C. Meyer* & N. Rose*

Source: Web Of Science
Added: August 6, 2018

2001 journal article

Comparison of perturbation bounds for the stationary distribution of a Markov chain

LINEAR ALGEBRA AND ITS APPLICATIONS, 335, 137–150.

By: G. Cho* & C. Meyer n

author keywords: Markov chains; stationary distribution; stochastic matrix; group inversion; sensitivity analysis; perturbation theory; condition numbers
Source: Web Of Science
Added: August 6, 2018

2000 journal article

Markov chain sensitivity measured by mean first passage times

LINEAR ALGEBRA AND ITS APPLICATIONS, 316(1-3), 21–28.

By: G. Cho n & C. Meyer n

author keywords: Markov chains; stationary distribution; mean first passage times; stochastic matrix; sensitivity analysis; perturbation theory; stability of a Markov chain; condition numbers
Source: Web Of Science
Added: August 6, 2018

2000 book

Matrix analysis and applied linear algebra

Philadelphia: Society for Industrial and Applied Mathematics.

By: C. Meyer

Source: NC State University Libraries
Added: August 6, 2018

1998 journal article

On the structure of stochastic matrices with a subdominant eigenvalue near 1

LINEAR ALGEBRA AND ITS APPLICATIONS, 272, 193–203.

By: D. Hartfiel* & C. Meyer n

Source: Web Of Science
Added: August 6, 2018

1998 journal article

The idea behind Krylov methods

AMERICAN MATHEMATICAL MONTHLY, 105(10), 889–899.

By: I. Ipsen & C. Meyer*

Source: Web Of Science
Added: August 6, 2018

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