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SIAMJO
2008
86views more  SIAMJO 2008»
13 years 7 months ago
On the Second-Order Feasibility Cone: Primal-Dual Representation and Efficient Projection
We study the second-order feasibility cone F = {y IRn : My gT y} for given data (M, g). We construct a new representation for this cone and its dual based on the spectral decompo...
Alexandre Belloni, Robert M. Freund
SIAMJO
2008
143views more  SIAMJO 2008»
13 years 7 months ago
The Proximal Average: Basic Theory
Abstract. The recently introduced proximal average of two convex functions is a convex function with many useful properties. In this paper, we introduce and systematically study th...
Heinz H. Bauschke, Rafal Goebel, Yves Lucet, Xianf...
SIAMSC
2008
104views more  SIAMSC 2008»
13 years 7 months ago
Reducing Floating Point Error in Dot Product Using the Superblock Family of Algorithms
This paper discusses both the theoretical and statistical errors obtained by various well-known dot products, from the canonical to pairwise algorithms, and introduces a new and mo...
Anthony M. Castaldo, R. Clint Whaley, Anthony T. C...
SIAMSC
2008
113views more  SIAMSC 2008»
13 years 7 months ago
Statistical Condition Estimation for the Roots of Polynomials
This paper presents fast and reliable condition estimates for the roots of a real polynomial based on the method of statistical condition estimation (SCE) by Kenney and Laub. Using...
A. J. Laub, J. Xia
SIAMSC
2008
139views more  SIAMSC 2008»
13 years 7 months ago
Probing the Pareto Frontier for Basis Pursuit Solutions
The basis pursuit problem seeks a minimum one-norm solution of an underdetermined least-squares problem. Basis pursuit denoise (BPDN) fits the least-squares problem only approximat...
Ewout van den Berg, Michael P. Friedlander