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Fixed point matrix inversion was implemented using LU decomposition and triangular matrix inversion.
The matrix inversion was performed numerically using Mathematica and all the Pi values were obtained.
Given the rate constants, the matrix inversion was performed numerically, which did not cost much because of the sparse matrix.
Step 2: The transition matrix was formulated based on the expanded diagram, and the matrix inversion was performed for the steady-state probability of the sub-states.
A matrix inversion was performed for the steady-state probabilities of sub-states (Pi) both algebraically and numerically using Mathematica (Wolfram Research, Champaign, IL).
For all our test cases the time for symbolical matrix inversion was rather short (the total model reduction program time was less than 45 s on a 2.19 GHz PC).
Similar(54)
Current literature suggests that time complexity of matrix inversion is 2 or higher.
In this paper, VLSI array architectures for matrix inversion are studied.
In the present paper alternative techniques for regularizing the matrix inversion are considered.
Some interesting results for matrix inversion are derived and used to reduce the complexity of the Wiener filter expression.
First, a fourth-order accurate in space implicit, factorized scheme, which requires block-tridiagonal matrix inversion, is presented.
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