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SIAMREV
2010
140views more  SIAMREV 2010»
12 years 11 months ago
What Shape Is Your Conjugate? A Survey of Computational Convex Analysis and Its Applications
Computational Convex Analysis algorithms have been rediscovered several times in the past by researchers from different fields. To further communications between practitioners, we ...
Yves Lucet
SIAMREV
2010
119views more  SIAMREV 2010»
12 years 11 months ago
From Functional Analysis to Iterative Methods
We examine condition numbers, preconditioners, and iterative methods for finite element discretizations of coercive PDEs in the context of the fundamental solvability result, the L...
Robert C. Kirby
SIAMREV
2010
170views more  SIAMREV 2010»
12 years 11 months ago
Network Properties Revealed through Matrix Functions
The newly emerging field of Network Science deals with the tasks of modelling, comparing and summarizing large data sets that describe complex interactions. Because pairwise affin...
Ernesto Estrada, Desmond J. Higham
SIAMREV
2010
110views more  SIAMREV 2010»
12 years 11 months ago
Complex Singularities and the Lorenz Attractor
The Lorenz attractor is one of the best known examples of applied mathematics. However, much of what is known about it is a result of numerical calculations and not of mathematica...
Divakar Viswanath, Sönmez Sahutoglu
SIAMREV
2010
114views more  SIAMREV 2010»
12 years 11 months ago
From Random Polygon to Ellipse: An Eigenanalysis
Suppose x and y are unit 2-norm n-vectors whose components sum to zero. Let P(x, y) be the polygon obtained by connecting (x1, y1), . . . , (xn, yn), (x1, y1) in order. We say that...
Adam N. Elmachtoub, Charles F. Van Loan