class Fac_Inv[MatT <: MatriD] extends Factorization with Error
The Fac_Inv 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.
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Instance Constructors
-
new
Fac_Inv(a: MatT)
- a
the given n-by-n square matrix
Value Members
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def
factor(): Fac_Inv[MatT]
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'.
- Definition Classes
- Fac_Inv → Factorization
-
def
factor1(): MatriD
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.
- Definition Classes
- Factorization
-
def
factor12(): (MatriD, MatriD)
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.
- Definition Classes
- Factorization
-
def
factor2(): MatriD
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.
- Definition Classes
- Factorization
-
def
factors: (MatriD, MatriD)
Return both the matrices 'a' and its inverse 'a^-1'.
Return both the matrices 'a' and its inverse 'a^-1'.
- Definition Classes
- Fac_Inv → Factorization
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final
def
flaw(method: String, message: String): Unit
Show the flaw by printing the error message.
Show the flaw by printing the error message.
- method
the method where the error occurred
- message
the error message
- Definition Classes
- Error
-
def
solve(b: VectoD): VectoD
Use the inverse matrix 'ai' to solve a system of equations 'a * x = b'.
Use the inverse matrix 'ai' to solve a system of equations 'a * x = b'. Return the solution vector 'x'.
- b
the constant vector
- Definition Classes
- Fac_Inv → Factorization