Sentence examples for indefinite quadratic form from inspiring English sources

Then, by introducing a Krein space stochastic system and applying re-organized innovation analysis approach, the minimum of indefinite quadratic form and its existence condition are derived.

The minimum of indefinite quadratic form is derived in the form of innovations through utilizing Krein space orthogonal projection and innovation analysis approach.

A Krein space stochastic system with multiple fictitious outputs is constructed by associating with the minimum problem of the introduced indefinite quadratic form.

Moreover, the choice of an adequate non-degenerate indefinite quadratic form makes a non-degenerate central conic seen as a unit circle.

Via choosing the suitable fictitious outputs to guarantee the minimum of indefinite quadratic form is positive, the existence condition of the adaptive smoother and its analytical solutions are obtained in virtue of nonstandard Riccati difference equations.

By comprehensively analyzing the H∞ performance, Lipschitz conditions and unknown parameter's bounded condition, a positive minimum problem for an indefinite quadratic form is introduced such that the H∞ adaptive smoothing problem is achieved.

Ross's dissertation was entitled "On Representation of Integers by Indefinite Ternary Quadratic Forms".

Similar identities are given for arbitrary indefinite nonsingular real quadratic forms in R2ν.

A symmetric n×n-matrix is called positive-definite (respectively negative-definite; indefinite), if for all nonzero vectors 'x' ∈ Rn the associated quadratic form given by Q('x') = 'x'TAx takes only positive values (respectively only negative values; both some negative and some positive values).

Variance, covariance [? as ?] a quadratic form.

A simple calculation with these matrices resulted in a binary quadratic form.