class Fac_Cholesky[MatT <: MatriD] extends Factorization with Error
The Fac_Cholesky class provides methods to factor an 'n-by-n' symmetric,
positive definite matrix 'a' into the product of two matrices:
'l' - an 'n-by-n' left lower triangular matrix 'l.t' - an 'n-by-n' right upper triangular matrix - transpose of 'l'
such that 'a = l * l.t'.
- Alphabetic
- By Inheritance
- Fac_Cholesky
- Error
- Factorization
- AnyRef
- Any
- Hide All
- Show All
- Public
- Protected
Instance Constructors
- new Fac_Cholesky(a: MatT)
- a
the symmetric, positive definite matrix to be factor
Value Members
- final def !=(arg0: Any): Boolean
- Definition Classes
- AnyRef → Any
- final def ##: Int
- Definition Classes
- AnyRef → Any
- final def ==(arg0: Any): Boolean
- Definition Classes
- AnyRef → Any
- final def asInstanceOf[T0]: T0
- Definition Classes
- Any
- def clone(): AnyRef
- Attributes
- protected[lang]
- Definition Classes
- AnyRef
- Annotations
- @throws(classOf[java.lang.CloneNotSupportedException]) @native() @HotSpotIntrinsicCandidate()
- final def eq(arg0: AnyRef): Boolean
- Definition Classes
- AnyRef
- def equals(arg0: AnyRef): Boolean
- Definition Classes
- AnyRef → Any
- def factor(): Fac_Cholesky[MatT]
Factor matrix 'a' into the product of 'l' and 'l.t' using Cholesky Factorization 'a = l * l.t', where 'l.t' is 'l's transpose.
Factor matrix 'a' into the product of 'l' and 'l.t' using Cholesky Factorization 'a = l * l.t', where 'l.t' is 'l's transpose. It uses the Cholesky–Banachiewicz algorithm.
- Definition Classes
- Fac_Cholesky → Factorization
- See also
introcs.cs.princeton.edu/java/95linear
- 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
- val factored: Boolean
Flag indicating whether the matrix has been factored
Flag indicating whether the matrix has been factored
- Attributes
- protected
- Definition Classes
- Factorization
- def factors: (MatriD, MatriD)
Return both the lower triangular matrix 'l' and its transpose 'l.t'.
Return both the lower triangular matrix 'l' and its transpose 'l.t'.
- Definition Classes
- Fac_Cholesky → Factorization
- 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
- final def getClass(): Class[_ <: AnyRef]
- Definition Classes
- AnyRef → Any
- Annotations
- @native() @HotSpotIntrinsicCandidate()
- def hashCode(): Int
- Definition Classes
- AnyRef → Any
- Annotations
- @native() @HotSpotIntrinsicCandidate()
- final def isInstanceOf[T0]: Boolean
- Definition Classes
- Any
- final def ne(arg0: AnyRef): Boolean
- Definition Classes
- AnyRef
- final def notify(): Unit
- Definition Classes
- AnyRef
- Annotations
- @native() @HotSpotIntrinsicCandidate()
- final def notifyAll(): Unit
- Definition Classes
- AnyRef
- Annotations
- @native() @HotSpotIntrinsicCandidate()
- def solve(b: VectoD): VectoD
Use the lower triangular matrix 'l' from the Cholesky Factorization to solve a system of equations 'a * x = b'.
Use the lower triangular matrix 'l' from the Cholesky Factorization to solve a system of equations 'a * x = b'. Return the solution x using forward and backward substitution.
- b
the constant vector
- Definition Classes
- Fac_Cholesky → Factorization
- final def synchronized[T0](arg0: => T0): T0
- Definition Classes
- AnyRef
- def toString(): String
- Definition Classes
- AnyRef → Any
- final def wait(arg0: Long, arg1: Int): Unit
- Definition Classes
- AnyRef
- Annotations
- @throws(classOf[java.lang.InterruptedException])
- final def wait(arg0: Long): Unit
- Definition Classes
- AnyRef
- Annotations
- @throws(classOf[java.lang.InterruptedException]) @native()
- final def wait(): Unit
- Definition Classes
- AnyRef
- Annotations
- @throws(classOf[java.lang.InterruptedException])
Deprecated Value Members
- def finalize(): Unit
- Attributes
- protected[lang]
- Definition Classes
- AnyRef
- Annotations
- @throws(classOf[java.lang.Throwable]) @Deprecated
- Deprecated