Sentence examples for triangular systems from inspiring English sources

The fine triangular systems computed by the algorithms are not necessarily perfect.

The approach is not only a natural extension of popular approaches in robust linear control, but also advantageous to numerical computation which is applicable to non-triangular systems as well as triangular systems.

For the non-algebraic representation, the triangular systems are introduced to define transcendental coordinates of sample points.

It explains various triangular systems, their relationships, and how to compute them from any given polynomial system.

Among the basic ones, we can find, e.g, vector scalings, inner (dot) products, matrix-vector products, solution of triangular systems, matrix matrix products, etc.

In this work an observer for a class of delayed nonlinear triangular systems with multiple and simple time-delay is proposed.

These nonlinear systems are dominated by a triangular system satisfying linear growth condition.

The chapter details the use of back substitution to find the solution to the upper triangular system, if it exists.

Solving the linear system M ˜ y = f is equivalent to solving two linear systems with a lower and upper block triangular system matrix.

Subsequently, the optimal (hat {bar {boldsymbol {beta }}}) follows from (back)solving the triangular system mathbf{R}_{1}hat{bar{boldsymbol{beta}}}=mathbf{r}_{1,3}-mathbf{R}_{1,2}text{vec} _{1,3}-mathbf{R}_{1,2}text{vec}

Besides the second-order system and the triangular system, the proposed method can also be applied to a general class of uncertain nonlinear system.