A New Algorithm to Approximate Bivariate Matrix Function via Newton-Thiele Type Formula

A New Algorithm to Approximate Bivariate Matrix Function via Newton-Thiele Type Formula

A new method for computing the approximation of bivariate matrix function is introduced. It uses the construction of bivariate Newton-Thiele type matrix rational interpolants on a rectangular grid.The rational interpolant is of the formmotivated by Tan and Fang (2000), which is combined by Newton interpolant and branched continued fractions, with scalar denominator. The matrix quotients are bas...

Essential Matrix Estimation via Newton-type Methods

In this paper camera parameters are assumed to be known and a novel approach for essential matrix estimation is presented. We estimate the essential matrix from point correspondences between a stereo image pair. The technical approach we take is a generalization of the classical Newton method. It is well-known that the set of essential matrices forms a smooth manifold. Moreover, it is quite nat...

Bivariate Blending Thiele-Werner’s Osculatory Rational Interpolation

A New Approach to Approximate Completion Time Distribution Function of Stochastic Pert Networks

The classical PERT approach uses the path with the largest expected duration as the critical path to estimate the probability of completing a network by a given deadline. However, in general, such a path is not the most critical path (MCP) and does not have the smallest estimate for the probability of completion time. The main idea of this paper is derived from the domination structure between ...

Information Matrix Algorithm of Block Based Bivariate Newton-Like Blending Rational Interpolation

Interpolation has wide application in signal processing, numerical integration, Computer Aided Geometric Design (CAGD), engineering technology and electrochemistry. Block based bivariate Newton-like blending rational interpolation can also be calculated based on information matrix algorithm in addition to block divided differences. The paper studied interpolation theorem, dual interpolation of ...