On some real problems in computer vision which yield to algebraic system of equations

This paper outlines a number of difficulties which can arise when numerical methods are used to solve systems of differential/algebraic equations of the form ${\bf F}(t,{\bf y},{\bf y}') = {\bf 0}$. Problems which can be written in this general form ...

This paper introduces a perturbed collocation method for linear boundary-value problems (BVP) in differential-algebraic equations (DAE) with index one. In contrast with the usually direct approximation of the collocation method for ordinary differential ...

A noniterative algebraic method is presented for solving differential Riccati equations which satisfy two-point boundary-value problems. This class of numerical problems arises in quadratic optimization problems where the cost functionals are composed ...