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NA
2016
70views more  NA 2016»
8 years 23 days ago
Numerical solution to generalized Lyapunov/Stein and rational Riccati equations in stochastic control
Abstract. We consider the numerical solution of the generalized Lyapunov and Stein equations in Rn, arising respectively from stochastic optimal control in continuous- and discrete...
Hung-Yuan Fan, Peter Chang-Yi Weng, Eric King-Wah ...
NA
2016
49views more  NA 2016»
8 years 23 days ago
A block algorithm for computing antitriangular factorizations of symmetric matrices
Any symmetric matrix can be reduced to antitriangular form in finitely many steps by orthogonal similarity transformations. This form reveals the inertia of the matrix and has fo...
Zvonimir Bujanovic, Daniel Kressner
NA
2016
52views more  NA 2016»
8 years 23 days ago
Highly effective stable evaluation of bandlimited functions on the sphere
An algorithm for fast and accurate evaluation of band-limited functions at many scattered points on the unit 2-d sphere is developed. The algorithm is based on trigonometric repres...
Kamen G. Ivanov, Pencho Petrushev
NA
2016
63views more  NA 2016»
8 years 23 days ago
Easy implementation of advanced tomography algorithms using the ASTRA toolbox with Spot operators
Mathematical scripting languages are commonly used to develop new tomographic reconstruction algorithms. For large experimental datasets, high performance parallel (GPU) implement...
Folkert Bleichrodt, Tristan van Leeuwen, Willem Ja...
NA
2016
53views more  NA 2016»
8 years 23 days ago
Bivariate Newton-Raphson method and toroidal attraction basins
When the numerical Newton-Raphson method is applied to find the intersections of two algebraic curves (that is, the roots of a pair of bivariate polynomials), some difficulties ap...
Luis Javier Hernández-Paricio
NA
2016
92views more  NA 2016»
8 years 23 days ago
BertiniLab: A MATLAB interface for solving systems of polynomial equations
A MATLAB interface to the numerical homotopy continuation package Bertini is described. Bertini solves systems of polynomial equations. BertiniLab can be used to create input files...
Daniel J. Bates, Andrew J. Newell, Matthew E. Niem...