FOCM
2008
13 years 3 months ago
2008
The Magnus series is an infinite series which arises in the study of linear ordinary differential equations. If the series converges, then the matrix exponential of the sum equals...
FOCM
2006
13 years 4 months ago
2006
We introduce some modifications and extensions of the concept od index pair in the Conley index theory. We then show how these concepts may be used to overcome some difficulties in...
FOCM
2006
13 years 4 months ago
2006
We present an approach that allows performing computations related to the Baker-Campbell-Haussdorff (BCH) formula and its generalizations in an arbitrary Hall basis, using labeled...
FOCM
2006
13 years 4 months ago
2006
This paper considers the regularized learning algorithm associated with the leastsquare loss and reproducing kernel Hilbert spaces. The target is the error analysis for the regres...
FOCM
2006
13 years 4 months ago
2006
Let be an unknown Borel measure defined on the space Z := X
FOCM
2006
13 years 4 months ago
2006
Abstract We consider linear overdetermined systems of partial differential equa
FOCM
2006
13 years 4 months ago
2006
The main result of this paper is a new version of Newton-Hensel lifting that relates to interpolation questions. It allows one to lift polynomials in Z[x] from information modulo a...
FOCM
2006
13 years 4 months ago
2006
FOCM
2006
13 years 4 months ago
2006
In this paper, we study an online learning algorithm in Reproducing Kernel Hilbert Spaces (RKHS) and general Hilbert spaces. We present a general form of the stochastic gradient m...
FOCM
2006
13 years 4 months ago
2006
We study the algebraic and facial structures of hyperbolic programs, and examine natural relaxations of hyperbolic programs, the relaxations themselves being hyperbolic programs.