Carl Dean Meyer

Carl Dean Meyer's AcademicInfluence.com Rankings

Carl Dean Meyer

Mathematics

#6426

World Rank

#8903

Historical Rank

Linear Algebra

#11

World Rank

#13

Historical Rank

Measure Theory

#1338

World Rank

#1685

Historical Rank

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Mathematics

Carl Dean Meyer's Degrees

PhD Mathematics Stanford University
Bachelors Mathematics California Institute of Technology

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Carl Dean Meyer's Published Works

Number of citations in a given year to any of this author's works

Total number of citations to an author for the works they published in a given year. This highlights publication of the most important work(s) by the author

Published Works

Matrix Analysis and Applied Linear Algebra (2000) (5110)
Generalized inverses of linear transformations (1979) (1751)
Google's PageRank and beyond - the science of search engine rankings (2006) (1562)
Deeper Inside PageRank (2004) (921)
A Survey of Eigenvector Methods for Web Information Retrieval (2005) (438)
A Sparse Approximate Inverse Preconditioner for the Conjugate Gradient Method (1996) (418)
Stochastic Complementation, Uncoupling Markov Chains, and the Theory of Nearly Reducible Systems (1989) (323)
Applications of the Drazin Inverse to Linear Systems of Differential Equations with Singular Constant Coefficients (1976) (278)
Comparison of perturbation bounds for the stationary distribution of a Markov chain (2001) (206)
Google's PageRank and Beyond (2007) (183)
The Condition of a Finite Markov Chain and Perturbation Bounds for the Limiting Probabilities (1980) (166)
Algorithms, Initializations, and Convergence for the Nonnegative Matrix Factorization (2014) (164)
THE IDEA BEHIND KRYLOV METHODS (1998) (163)
The Index and the Drazin Inverse of Block Triangular Matrices (1977) (142)
GMRES and the minimal polynomial (1996) (107)
A Reordering for the PageRank Problem (2005) (105)
Derivatives and perturbations of eigenvectors (1988) (105)
Sensitivity of the Stationary Distribution of a Markov Chain (1994) (104)
Initializations for the Nonnegative Matrix Factorization (2006) (104)
Who's #1?: The Science of Rating and Ranking (2012) (103)
Updating Markov Chains with an Eye on Google's PageRank (2005) (99)
Sensitivity of the stationary distribution vector for an ergodic Markov chain (1986) (99)
Using the QR factorization and group inversion to compute, differentiate ,and estimate the sensitivity of stationary probabilities for markov chains (1986) (98)
Markov chain sensitivity measured by mean first passage times (2000) (92)
Uncoupling the Perron eigenvector problem (1989) (87)
Convergent Powers of a Matrix With Applications to Iterative Methods for Singular Linear Systems (1975) (85)
The Angle Between Complementary Subspaces (1995) (77)
Uniform Stability of Markov Chains (1994) (76)
Updating pagerank with iterative aggregation (2004) (70)
Continuity properties of the Drazin pseudoinverse (1975) (67)
Linear algebra, Markov chains, and queueing models (1993) (65)
On the structure of stochastic matrices with a subdominant eigenvalue near 1 (1998) (64)
Updating finite markov chains by using techniques of group matrix inversion (1980) (52)
A Direct Projection Method for Sparse Linear Systems (1995) (47)
Offense-Defense Approach to Ranking Team Sports (2009) (45)
EP Operators and Generalized Inverses (1975) (44)
Singular M-matrices and inverse positivity (1978) (39)
Convergence Estimates for Solution of Integral Equations with GMRES (1996) (34)
Updating the stationary vector of an irreducible Markov chain (2002) (33)
Stochastic Data Clustering (2010) (28)
The Use of the Linear Algebra by Web Search Engines (2004) (25)
Generalizing Google ’ s PageRank to Rank National Football League Teams (2008) (21)
Updating pagerank using the group inverse and stochastic complementation (2002) (20)
Fiddling with pagerank (2003) (19)
Some remarks on EPγ matrices, and generalized inverses (1970) (18)
The Character of a Finite Markov Chain (1993) (17)
An alternative expression for the mean first passage matrix (1978) (17)
Nonnegative matrices with power invariant zero patterns (1982) (17)
A General Framework for Iterative Aggregation/Disaggregation Methods (1992) (16)
Weak Drazin inverses (1978) (15)
Who's #1? (2012) (13)
Ranking National Football League teams using Google's pagerank (2006) (12)
Note on a Least Squares Inverse for a Matrix (1970) (10)
Information Retrieval and Web Search (2006) (10)
Continuity of the Perron root (2014) (8)
Note on the Computation of the Generalized Inverse of a Matrix (1966) (8)
9. Applications of the Drazin Inverse (2009) (7)
Sensitivity of Markov Chains (1992) (7)
Representations for (1)- and (1,2)-inverses for partitioned matrices (1971) (6)
Orthogonal Reduction on Vector Computers (1989) (4)
On the Rank of the Sum of two Rectangular Matrices (1969) (4)
Stochastic Consensus Clustering (2010) (3)
Vector and parallel algorithms for computing the stationary distribution vector of an irreducible markov chain (1988) (3)
UPDATING MARKOV CHAINS (2006) (2)
Chapter Four. The Mathematics of Google’s PageRank (2006) (2)
Rush versus Pass: Modeling the NFL (2010) (2)
1. The Moore—Penrose or Generalized Inverse (2009) (2)
ReportReview of non-negative matrices and Markov chains, by E. Seneta (1984) (2)
Simultaneous Computation of Stationary Probabilities With Estimates of Their Sensitivity (1999) (1)
Chapter 16. Methods of Comparison (2012) (1)
Results of an informal survey on the use of linear algebra in industry and government (1981) (1)
Chapter One. Introduction to Web Search Engines (2006) (1)
0. Introduction and Other Preliminaries (2009) (1)
BORDERED MATRIX USED IN LINEAR ESTIMATION (2020) (1)
Who's #1? Why rankings are flawed. (2012) (1)
Chapter Three. Ranking Webpages by Popularity (2006) (0)
Chapter Seven. The PageRank Problem as a Linear System (2006) (0)
OF BLOCK TRIANGULAR MATRICES (2016) (0)
Chapter Ten. Updating the PageRank Vector (2006) (0)
3. Sums, Partitioned Matrices and the Constrained Generalized Inverse (2009) (0)
Chapter 13. “What If . . .” Scenarios and Sensitivity (2012) (0)
Chapter 17. Data (2012) (0)
Chapter Sixteen. Glossary (2006) (0)
Rank My Update, Please (2018) (0)
Chapter Eight. Issues in Large-Scale Implementation of PageRank (2006) (0)
Chapter Five. Parameters in the PageRank Model (2006) (0)
Numerical methods for problems involving the Drazin inverse (1979) (0)
Chapter Twelve. Other Link Methods for Ranking Webpages (2006) (0)
Computing the Stationary Distribution Vector of an Irreducible Markov Chain on a Shared-Memory Multiprocessor (2021) (0)
Preprocessing using Non-negative Matrix Factorization in Conjunction with K-means (2010) (0)
Chapter 6. The Markov Method (2012) (0)
Book Reviews (2010) (0)
Chapter Thirteen. The Future of Web Information Retrieval (2006) (0)
Chapter 4. Keener’s Method (2012) (0)
Chapter Two. Crawling, Indexing, and Query Processing (2006) (0)
Chapter 5. Elo’s System (2012) (0)
8. Applications of the Drazin Inverse to the Theory of Finite Markov Chains (2009) (0)
STABILITY AND CONDITIONING ISSUES ON THE NUMERICAL SOLUTION OF MARKOV CHAINS by TUGRUL DAYAR (2020) (0)
Chapter 8. Ranking by Reordering Methods (2012) (0)
7. The Drazin Inverse (2009) (0)
Chapter Fifteen. The Mathematics Guide (2006) (0)
Index To Volume 115, 2008 (2008) (0)
Introduction to Web Search Engines 1.1 a Short History of Information Retrieval (2006) (0)
6. (i,j,k)-Generalized Inverses and Linear Estimation (2009) (0)
Chapter 14. Rank Aggregation–Part 1 (2012) (0)
Injective Properties of Complex Matrices: 10984 (2004) (0)
Langville and Meyer : Deeper Inside (2003) (0)
Chapter 10. User Preference Ratings (2012) (0)
2. Least Squares Solutions (2009) (0)
Chapter 9. Point Spreads (2012) (0)
Eudoxus Meets Cayley (2003) (0)
Chapter 15. Rank Aggregation–Part 2 (2012) (0)
Chapter Fourteen. Resources for Web Information Retrieval (2006) (0)
5. The Generalized Inverse in Electrical Engineering (2009) (0)
Chapter 2. Massey’s Method (2012) (0)
Chapter Nine. Accelerating the Computation of PageRank (2006) (0)
11. Linear Programming (2009) (0)
Chapter 7. The Offense–Defense Rating Method (2012) (0)
Chapter Six. The Sensitivity of PageRank (2006) (0)
10. Continuity of the Generalized Inverse (2009) (0)
Chapter 3. Colley’s Method (2012) (0)
Chapter Eleven. The HITS Method for Ranking Webpages (2006) (0)
Chapter 12. Incorporating Weights (2012) (0)
4. Partial Isometries and EP Matrices (2009) (0)
12. Computational Concerns (2009) (0)
Chapter 11. Handling Ties (2012) (0)
Langville and Meyer : Deeper Inside PageRank (2004) (0)
Beating the Spread: Predicting Game Outcomes with a New Ranking Model. (2008) (0)
Chapter 18. Epilogue (2012) (0)
Chapter 1. Introduction to Ranking (2012) (0)

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What Schools Are Affiliated With Carl Dean Meyer?

Carl Dean Meyer is affiliated with the following schools:

North Carolina State University

Carl Dean Meyer's Academic­Influence.com Rankings

Carl Dean Meyer's Degrees

Similar Degrees You Can Earn

Why Is Carl Dean Meyer Influential?

Carl Dean Meyer's Published Works

Published Works

What Schools Are Affiliated With Carl Dean Meyer?

Carl Dean Meyer's AcademicInfluence.com Rankings