Numerical Analysis and Scientific Computing
Preconditioning KKT Systems The PDF File The Postscript File
The Idea Behind Krylov Methods The PDF File The Postscript File
Steps Towards an Iterative Rank-Revealing Method The PDF File The Postscript File
A Direct Projection Method For Sparse Linear Systems The Postscript File
A Sparse Approximate Inverse Preconditioner For The Conjugate Gradient Method The PDF File The Postscript File
GMRES and the Minimal Polynomial The Postscript File
Convergence Estimates For Solution Of Integral Equations With GMRES The PDF File The Postscript File
Orthogonal Reduction On Vector Computers The Postscript File
Information Retrieval
Information Retrieval and Web Search (with Amy N. Langville) HLA.pdf
Updating the Stationary Vector of an Irreducible Markov Chain With an Eye on Google's PageRank (with Amy N. Langville) The PDF File
Deeper Inside PageRank (with Amy N. Langville) The PDF File
A Survey of Eigenvector Methods of Web Information Retrieval (with Amy N. Langville) The PDF File The Postscript File
Fiddling with PageRank (with Amy N. Langville) The PDF File The Postscript File
A Reordering for the PageRank Problem (with Amy N. Langville) The PDF File
The Use of Linear Algebra by Web Search Engines (with Amy N. Langville) The PDF File
Discrete Markov Chains
Updating Markov Chains With an Eye on Google's PageRank (with Amy N. Langville) The PDF File
Fiddling with PageRank (with Amy N. Langville) The PDF File The Postscript File
Markov Chain Sensitivity Measured By Mean First Passage Times The PDF File The Postscript File
Comparison of Perturbation Bounds for the Stationary Distribution of a Markov Chain The PDF File The Postscript File
Aggregation Methods for Nearly Uncoupled Systems (transparencies)
Uniform Stability Of Markov Chains The Postscript File
Sensitivity Of The Stationary Distribution Of A Markov Chain The Postscript File
Stochastic Complementation, Uncoupling Markov Chains, And The Theory Of Nearly Reducible Systems The PDF File The Postscript File
Linear Algebra
Eudoxus Meets Cayley The PDF File The Postscript File
The Idea Behind Krylov Methods The PDF File The Postscript File
The Angle Between Complementary Subspaces The PDF File The Postscript File
On the Structure of Stochastic Matrices with a Subdominant Eigenvalue Near 1 The PDF File The Postscript File
Uncoupling the Perron Eigenvector Problem The PDF File The Postscript File
Text Book
Matrix Analysis and Applied Linear Algebra (PDF chapter files) Copyrighted and published by SIAM, 2000