Taking into account the definition of an

orthogonal matrix, the result will also remain an

orthogonal matrix.

This technique is based on the theorem from linear algebra which says that a rectangular matrix A can be given as the product of three matrices, as follows: (i) an

orthogonal matrix UA, (ii) a diagonal matrix [summation]A, (iii) the transpose of the

orthogonal matrix VA.

Lattice reduction (LR) is known to be capable of transforming an ill-conditioned matrix closer to an

orthogonal matrix by identifying a set of basis that is closer to orthogonality than the columns of a matrix that span the same lattice.

Taguchi

orthogonal matrix can be selected according to the number of levels and factors.

m] (v, [alpha], [beta], [theta], kind 1) and let H bean m x m

orthogonal matrix whose elements are either constants or random variables distributed independent of X.

2]) column

orthogonal matrix with the same column space also works.

where [mathematical expression not reproducible] is already an

orthogonal matrix.

Ultrasound-assisted extraction (UAE) of pectic polysaccharide from oriental tobacco leaves was studied by

orthogonal matrix method (L9(3)4).

It is shown how to build the

orthogonal matrix operator and how to use it in a process of curve reconstruction.

11), we know that there exists an

orthogonal matrix Q such that

1) Unit

Orthogonal Matrix is a unitized square matrix, the transpose of which equals to its inverse, which can be expressed as Q = [Q.

Finally, the data X are reduced to a d-dimensional subspace using an

orthogonal matrix [U.