Gram |
A class which encapsulates the functionality of the QR decomposition Modified Gram-Schmidt Orthogonalization.
Any real square matrix A may be decomposed as A = QR where Q is an orthogonal mxn matrix and R is an nxn upper triangular matrix.
public abstract class GramSchmidt<T> : QR<T> where T : struct, new(), IEquatable<T>, IFormattable
The GramSchmidtT type exposes the following members.
Name | Description | |
---|---|---|
GramSchmidtT | Initializes a new instance of the GramSchmidtT class |
Name | Description | |
---|---|---|
Determinant |
Gets the absolute determinant value of the matrix for which the QR matrix was computed.
(Inherited from QRT) | |
IsFullRank |
Gets a value indicating whether the matrix is full rank or not.
(Inherited from QRT) | |
Q |
Gets or sets orthogonal Q matrix
(Inherited from QRT) | |
R |
Gets the upper triangular factor R.
(Inherited from QRT) |
Name | Description | |
---|---|---|
Equals | Determines whether the specified object is equal to the current object. (Inherited from Object) | |
Finalize | Allows an object to try to free resources and perform other cleanup operations before it is reclaimed by garbage collection. (Inherited from Object) | |
GetHashCode | Serves as the default hash function. (Inherited from Object) | |
GetType | Gets the Type of the current instance. (Inherited from Object) | |
MemberwiseClone | Creates a shallow copy of the current Object. (Inherited from Object) | |
Solve(MatrixT) |
Solves a system of linear equations, AX = B, with A QR factorized.
(Inherited from QRT) | |
Solve(VectorT) |
Solves a system of linear equations, Ax = b, with A QR factorized.
(Inherited from QRT) | |
Solve(MatrixT, MatrixT) |
Solves a system of linear equations, AX = B, with A QR factorized.
(Inherited from QRT) | |
Solve(VectorT, VectorT) |
Solves a system of linear equations, Ax = b, with A QR factorized.
(Inherited from QRT) | |
ToString | Returns a string that represents the current object. (Inherited from Object) |