orthogonal matrix


Also found in: Encyclopedia, Wikipedia.

orthogonal matrix

n
(Mathematics) maths a matrix that is the inverse of its transpose so that any two rows or any two columns are orthogonal vectors. Compare symmetric matrix
Mentioned in ?
References in periodicals archive ?
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.

Full browser ?