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Behavior of Algorithms >> Content Detail



Lecture Notes



Lecture Notes

Students in this class were required to scribe lecture notes in order to gain experience writing mathematics. The lecture notes files are included courtesy the students listed below.


LEC #TOPICSLECTURE NOTESSCRIBES / LECTURERS
1Introduction
2The Condition Number(PDF) (Courtesy of Steve Weis. Used with permission.)Scribe: Steve Weis

Lecturer: Daniel Spielman
3The Largest Singular Value of a Matrix(PDF) (Courtesy of Arvind Sankar. Used with permission.)Scribe: Arvind Sankar

Lecturer: Daniel Spielman
4Gaussian Elimination Without Pivoting(PDF) (Courtesy of Matthew Lepinski. Used with permission.)Scribe: Matthew Lepinski

Lecturer: Daniel Spielman
5Smoothed Analysis of Gaussian Elimination Without Pivoting(PDF) (Courtesy of Nitin Thaper. Used with permission.)Scribe: Nitin Thaper

Lecturer: Daniel Spielman
6Growth Factors of Partial and Complete Pivoting

Speeding up GE of Graphs with Low Bandwidth or Small Separators
(PDF) (Courtesy of Brian Sutton. Used with permission.)Scribe: Brian Sutton

Lecturer: Daniel Spielman
7Spectral Partitioning Introduced(PDF) (Courtesy of Michael Korn. Used with permission.)Scribe: Michael Korn

Lecturer: Shang-Hua Teng
8Spectral Partitioning of Planar Graphs(PDF) (Courtesy of Jan Vondrák. Used with permission.)Scribe: Jan Vondrák

Lecturer: Daniel Spielman
9Spectral Parititioning of Well-Shaped Meshes and Nearest Neighbor Graphs

Turner's Theorem for Bandwidth of Semi-Random Graphs
(PDF)Scribe: Stephan Kalhamer

Lecturer: Daniel Spielman
10Smoothed Analysis and Monotone Adversaries for Bandwidth and Graph Bisection

McSherry's Spectral Bisection Algorithm
(PDF)Lecturer: Daniel Spielman
11Introduction to Linear Programming

von Neumann's Algorithm, Primal and Dual Simplex Methods

Duality
(PDF) (Courtesy of José Correa. Used with permission.)Scribe: José Correa

Lecturer: Daniel Spielman
12Strong Duality Theorem of Linear Programming

Renegar's Condition Numbers
(PDF) (Courtesy of Arvind Sankar. Used with permission.)Scribe: Arvind Sankar

Lecturer: Daniel Spielman
13Analysis of von Neumann's Algorithm(PDF) (Courtesy of Nitin Thaper. Used with permission.)Scribe: Nitin Thaper

Lecturer: Daniel Spielman
14Worst-Case Complexity of the Simplex Method(PDF ) (Courtesy of Brian Sutton. Used with permission.)Scribe: Brian Sutton

Lecturer: Daniel Spielman
15The Expected Number of Facets of the Convex Hull of Gaussian Random Points in the Plane(PDF)Scribe: Mikhail Alekhnovitch

Lecturer: Daniel Spielman
16The Expected Number of Facets of the Convex Hull of Gaussian Random Points in the Plane (cont.)(PDF) (Courtesy of Mikhail Alekhnovitch. Used with permission.)Scribe: Mikhail Alekhnovitch

Lecturer: Daniel Spielman
17The Expected Number of Facets of the Shadow of a Polytope Given by Gaussian Random Constraints(PDF) (Courtesy of Steve Weis. Used with permission.)Scribe: Steve Weis

Lecturer: Daniel Spielman
18The Expected Number of Facets of the Shadow of a Polytope Given by Gaussian Random Constraints: Distance BoundScribe: Stephan Kalhamer

Lecturer: Daniel Spielman
19The Expected Number of Facets of the Shadow of a Polytope Given by Gaussian Random Constraints: Angle Bound and Overview of Phase 1(PDF) (Courtesy of Matthew Lepinski. Used with permission.)Scribe: Matthew Lepinski

Lecturer: Daniel Spielman

 








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