Examples of 'triangular matrix' in a sentence

Meaning of "triangular matrix"

triangular matrix: In mathematics, a triangular matrix is a special kind of square matrix where all entries above or below the main diagonal are zero. Triangular matrices are frequently used in solving systems of linear equations and various numerical algorithms

How to use "triangular matrix" in a sentence

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triangular matrix
This is another of what we call an upper triangular matrix.
A normal triangular matrix is diagonal.
So we already have almost a triangular matrix.
A strictly triangular matrix is nilpotent.
Find the determinant of a triangular matrix.
The product of an upper triangular matrix by a constant is an upper triangular matrix.
How to write a matrix as a product of a lower and an upper triangular matrix.
A triangular matrix is one that is either lower triangular or upper triangular.
Inverse of a lower triangular matrix.
Is a higher triangular matrix where the elements of the diagonal are real.
A higher strictly triangular matrix.
The triangular matrix grants unequal protection to the layers of the plaintext.
It results in a unit lower triangular matrix and an upper triangular matrix.
The triangular matrix U then corresponds to the new base used by the sequential decoding algorithm.
In a preferred embodiment the matrix is a triangular matrix and the layers are hexagonal.

See also

The upper triangular matrix is directly written to the upper triangular part of.
The product of a Hessenberg matrix with a triangular matrix is again Hessenberg.
Now this upper triangular matrix can be referenced to create a mask.
The matrix U is an upper triangular matrix.
The determinant of a triangular matrix equals the product of the diagonal entries.
The boundary and internal cells B and I store and update matrix elements of the triangular matrix.
The product of an upper triangular matrix and a scalar is upper triangular.
Serializer/deserializer with a triangular matrix.
Is a triangular matrix.
He also shows that a quaternion matrix is unitarily-equivalent to a triangular matrix.
The transpose of an upper triangular matrix is a lower triangular matrix and vice versa.
In fact, it is very easy to calculate the determinant of upper triangular matrix.
Eigenvalues of this upper triangular matrix are given by the eigenvalues at the main diagonal.
The fiber of claim 1, wherein the holes are disposed in a triangular matrix of points.
This operation provides a triangular matrix U corresponding to the Gram matrix.
Schur 's theorem states that every matrix is unitarily similar to a triangular matrix.
Lower triangular matrix with 1s on the diagonal.
One major example of this uses an orthogonal or unitary matrix, and a triangular matrix.
An upper triangular matrix problem is easy to solve through back substitution,.
There are a number of rotation algorithms which the triangular matrix 54 array might employ.
The eigenvalues of a triangular matrix ( either upper or lower ) are the diagonal elements.
Schur 's result states that every square matrix is unitarily similar to an upper triangular matrix.
More generally, any triangular matrix with 0s along the main diagonal is nilpotent.
Properties = = The product of a Hessenberg matrix with a triangular matrix is again Hessenberg.
Note that a triangular matrix is invertible precisely when its diagonal entries are invertible non-zero.
Now assume a Lower triangular matrix as,.
Abstract, Triangular matrix decompositions are fundamental building blocks in computational linear algebra.
Triangularisability = = A matrix that is similar to a triangular matrix is referred to as triangularisable.
The lower triangular matrix of the self-correlation matrix R r ;.
Then, the signal received is projected into the triangular matrix U determined in the previous step.
Analogously, we can define QL, RQ, and LQ decompositions, with L being a lower triangular matrix.
There is an upper triangular matrix T arbitrarily close to Q-1AQ with n distinct eigenvalues.
Positive definite matrices have the property that they have a triangular matrix square root P = S · ST.
Thus, a triangular matrix may be created by:.
We show, by induction on n, that it is similar to an upper triangular matrix.

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