scalation.mathstat.Fac_Inverse
See theFac_Inverse companion object
The Fac_Inverse class provides methods to factor an n-by-n identity matrix I into the product of two matrices a and a^-1 a * a^-1 = I where a is the given matrix and a^-1 is its inverse.
Value parameters
a
the given n-by-n square matrix
Attributes
Companion
object
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Supertypes
class Object
trait Matchable
class Any
Members list
Factor matrix I into the product of a and a^-1 by computing the inverse of a.
Factor matrix I into the product of a and a^-1 by computing the inverse of a.
Attributes
Return both the matrices a and its inverse a^-1.
Return both the matrices a and its inverse a^-1.
Attributes
Efficient calculation of inverse matrix a^-1 from existing factorization. a * a^-1 = I
Efficient calculation of inverse matrix a^-1 from existing factorization. a * a^-1 = I
Attributes
Use the inverse matrix 'ai' to solve a system of equations a * x = b. Return the solution vector x.
Use the inverse matrix 'ai' to solve a system of equations a * x = b. Return the solution vector x.
Value parameters
b
the constant vector
Attributes
Factor a matrix into the product of two matrices, e.g., 'a = l * l.t', returning only the first matrix.
Factor a matrix into the product of two matrices, e.g., 'a = l * l.t', returning only the first matrix.
Attributes
Inherited from:
Factorization
Factor a matrix into the product of two matrices, e.g., 'a = l * l.t' or a = q * r, returning both the first and second matrices.
Factor a matrix into the product of two matrices, e.g., 'a = l * l.t' or a = q * r, returning both the first and second matrices.
Attributes
Inherited from:
Factorization
Factor a matrix into the product of two matrices, e.g., 'a = l * l.t', returning only the second matrix.
Factor a matrix into the product of two matrices, e.g., 'a = l * l.t', returning only the second matrix.
Attributes
Inherited from:
Factorization
Return whether the matrix has been factored has aleady been factored.
Return whether the matrix has been factored has aleady been factored.
Attributes
Inherited from:
Factorization
Reset by setting factored to false.
Reset by setting factored to false.
Attributes
Inherited from:
Factorization
Flag indicating whether the matrix has been factored
Flag indicating whether the matrix has been factored
Attributes
Inherited from:
Factorization