Lewis A.S.

A.S. Lewis

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Found 13 papers in total
The structured distance to ill-posedness for conic systems
The structured distance to ill-posedness for conic systems
2004
An important measure of conditioning of a conic linear system is the size of the...
Estimating tangent and normal cones without calculus
Estimating tangent and normal cones without calculus
2005
We study simple estimates of the tangent and normal cones to a set with a nonsmooth...
The mathematics of eigenvalue optimization
The mathematics of eigenvalue optimization
2003
Optimization problems involving the eigenvalues of symmetric and nonsymmetric matrices...
Derivatives of spectral functions
Derivatives of spectral functions
1996
A special function of a Hermitian matrix X is a function which depends only on the...
Approximating subdifferentials by random sampling of gradients
Approximating subdifferentials by random sampling of gradients
2002
Many interesting real functions on Euclidean space are differential almost everywhere....
Maximum entropy reconstruction using derivative information, 1. Fisher information and convex duality
Maximum entropy reconstruction using derivative information, 1. Fisher information and convex duality
1996
Maximum entropy spectral density estimation is a technique for reconstructing an...
Self-concordant barriers for hyperbolic means
Self-concordant barriers for hyperbolic means
2001
The geometric mean and the function (det(·)) l/ m (on the m -by- m positive...
Nonsmooth analysis of eigenvalues
Nonsmooth analysis of eigenvalues
1999
The eigenvalues of a symmetric matrix depend on the matrix nonsmoothly. This paper...
Facial reduction in partially finite convex programming
Facial reduction in partially finite convex programming
1994
The paper considers the problem of minimizing an extended-value convex function on a...
Partially finite convex programming, Part I: Quasi relative interiors and duality theory
Partially finite convex programming, Part I: Quasi relative interiors and duality theory
1992
The authors study convex programs that involve the minimization of a convex function...
Partially finite convex programming, Part II: Explicit lattice models
Partially finite convex programming, Part II: Explicit lattice models
1992
In Part I of this work the authors derived a duality theorem for partially finite...
An extension of the simplex algorithm for semi-infinite linear programming
An extension of the simplex algorithm for semi-infinite linear programming
1989
The authors present a primal method for the solution of the semi-infinite linear...
The capacity problem
The capacity problem
1989
The authors consider a type of infinite-dimensional linear program posed over a...
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