Sentence examples for matrix algebra is from inspiring English sources

Efficient implementation of matrix algebra is important to the performance of many large and complex physical models.

notation (9) in matrix algebra is expressed as Δ y = − Δ p ˆ ε ˆ y 0 (10).

A bit of matrix algebra is needed to state this formally.

Alternative maximum likelihood approaches make different assumptions about the distribution of the error, but the matrix algebra is the same.

Thus, another representation in matrix algebra is: where (I - W -1 represents summation over all possible paths of transmission from ancestors to descendants, and represents the expected franction of founder gametes in the descendant gametes [ 31].

Matrix algebra was also associated with the advent of input-output analysis, an empirical method of reducing the technical relations between industries to a manageable system of simultaneous equations.

Demanding state-space or frequency domain design of controllers with matrix algebra are avoided, when a multivariable PI controller with familiar scalar PI subcontrollers is used.

This method uses the theories of L to obtain matrices on the algebra of formulas and then reduces these matrices in order to get for each one a matrix whose algebra is in K and whose set of designated elements is the set of elements of the algebra that satisfy δ(p) ≈ ε(p).

The structure of the book is similar to that of Goldberger's graduate-level textbook, A Course in Econometrics, but the new book is richer in empirical material, makes no use of matrix algebra, and is primarily discursive in style.

The equations derived provide a general procedure for calculating the control coefficients from the elasticity coefficients using matrix algebra, and is valid for any pathway stoichiometry.

The simple Lie algebras, out of which all the others in the classification are made, were all representable as algebras of matrices, and, in a sense, Lie algebra is the abstract setting for matrix algebra.