Sentence examples for definite solution to from inspiring English sources

A new sufficient condition for the existence of a unique positive definite solution to Equation 1 is derived.

Then, a strict proof is presented for a necessary and sufficient condition on the existence of a unique optimal positive definite solution to this equation.

To guarantee the existence of the positive definite solution to (1.4), we will make the following assumptions: the pair is stabilizable, and the pair is observable.

However, it is not difficult to show that there is no positive definite solution to the Riccati equation above in this case.

To guarantee the existence of the positive definite solution to (1.4), we shall make the following assumptions: the pair is stabilizable, and the pair is observable.

Through pile defect generalization, a definite solution to the problem of longitudinal vibrations in a finite pile lying on an elastic stratum with variable section impedance is established using the δ function.

The person who called the meeting described above was probably interested in more than just finding definite solutions to problems she posed for discussion.

The design procedures are investigated in terms of positive definite solutions to modify algebraic Riccati inequalities.

The estimation of the positive definite solutions to perturbed discrete Lyapunov equations is discussed.

By combining this result with the Schauder fixed point theorem, Ran and Reurings obtained some existence and uniqueness results of positive definite solutions to some nonlinear matrix equations.

In the last few years, many authors have been greatly interested in developing the theory and numerical approaches for positive definite solutions to the nonlinear matrix equations of the form (1.1) and (1.2).