If one computes the first and second order sensitivities for this linear system
as given in Equations (23) and (24), one obtains:
Here is a mechanical apparatus is presented which allows us to visualise a linear system
in its gradual conversion toward non-linearity.
The Method of Moment (MoM) EM problem description, upon which Momentum's solver algorithms are based, uses a linear system
of equations that are compute-intensive when solving problems with a large number of unknowns.
Matching theory and linear system
theory make different predictions about how the y-asymptote, k, of Herrnstein's (1970) hyperbola varies with reinforcer value.
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Modeling a lot of these problems leads to a fuzzy linear system
because the inexact kind of real numbers can be modeled in fuzzy numbers.
This leads to a linear system
that is symmetric positive definite and the jump conditions only affect the right-hand side of the linear system
, leading to an easy-to-implement method.
In practice, pure delays are presented in several kinds of systems , for this reason, a study is performed to observe whether chaotic behavior is generated from a linear system
with delay and a non-linearity.
Let us consider a sparse linear system
of the following form:
However, there are some dynamic behaviors that cannot be explained by linear system
Discretization by a five-point finite difference operator leads to the following linear system
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