Sentence examples for matrix inversion formula from inspiring English sources

where the last equality is due to the matrix inversion formula.

For the case of, the matrix inversion formula allows us to instead write (35).

Next, the matrix inversion formula (ii) in Theorem 4.1 yields (5.3).

Substituting this back into (16) and using the matrix inversion formula to simplify the resulting expression, we obtain the same expression on the first line of (28) for.

A new method is introduced based on the Sherman Morrison matrix inversion formula for calculation of the optimal absorber parameter values for attachment to a damped multi-degree of freedom system.

First, we describe two matrix inversion formulae.

The calculation of these equalizers has a complexity of (mathcal {O}(N^{2})) flops (using structured matrix inversion formulae) while calculating (hat {mathbf {x}}=mathbf {Wy}) requires no more than (mathcal {O}(N^{2})) flops per block [16].

Moreover, from Lemma A.1, (a), the IF of is given as By means of the inversion formula of the partitioned matrix, we obtain 1986.

From matrix inversion lemma [33], the inverse matrix of J is: (21).

To further derive the above formula, we consider the following matrix inversion lemma [14].

In case of 3×3 matrix, the matrix can be extended firstly to a 4×4 matrix and then inverted by applying the same formula derived above for 4×4 matrix inversion.