# pinv

#### object pinv extends UFunc

Computes the Moore-Penrose pseudo inverse of the given real matrix X.

The pseudo inverse is nothing but the least-squares solution to AX=B, hence: d/dX 1/2 (AX-B)2 = AT (AX-B) Solving AT (AX-B) = 0 for X yields AT AX = A^T B

### > X

Linear Supertypes
UFunc, AnyRef, Any
Ordering
1. Alphabetic
2. By inheritance
Inherited
1. pinv
2. UFunc
3. AnyRef
4. Any
1. Hide All
2. Show all
Visibility
1. Public
2. All

### Type Members

1. #### type Impl[V, VR] = UImpl[pinv.this.type, V, VR]

Definition Classes
UFunc
2. #### type Impl2[V1, V2, VR] = UImpl2[pinv.this.type, V1, V2, VR]

Definition Classes
UFunc
3. #### type Impl3[V1, V2, V3, VR] = UImpl3[pinv.this.type, V1, V2, V3, VR]

Definition Classes
UFunc
4. #### type InPlaceImpl[V] = generic.UFunc.InPlaceImpl[pinv.this.type, V]

Definition Classes
UFunc
5. #### type InPlaceImpl2[V1, V2] = generic.UFunc.InPlaceImpl2[pinv.this.type, V1, V2]

Definition Classes
UFunc
6. #### type InPlaceImpl3[V1, V2, V3] = generic.UFunc.InPlaceImpl3[pinv.this.type, V1, V2, V3]

Definition Classes
UFunc

### Value Members

1. #### final def !=(arg0: AnyRef): Boolean

Definition Classes
AnyRef
2. #### final def !=(arg0: Any): Boolean

Definition Classes
Any
3. #### final def ##(): Int

Definition Classes
AnyRef → Any
4. #### final def ==(arg0: AnyRef): Boolean

Definition Classes
AnyRef
5. #### final def ==(arg0: Any): Boolean

Definition Classes
Any
6. #### final def apply[V1, V2, V3, VR](v1: V1, v2: V2, v3: V3)(implicit impl: Impl3[V1, V2, V3, VR]): VR

Definition Classes
UFunc
7. #### final def apply[V1, V2, VR](v1: V1, v2: V2)(implicit impl: Impl2[V1, V2, VR]): VR

Definition Classes
UFunc
8. #### final def apply[V, VR](v: V)(implicit impl: Impl[V, VR]): VR

Definition Classes
UFunc
9. #### final def asInstanceOf[T0]: T0

Definition Classes
Any
10. #### implicit def canZipMapValuesImpl[T, V1, VR, U](implicit handhold: HandHold[T, V1], impl: Impl2[V1, V1, VR], canZipMapValues: CanZipMapValues[T, V1, VR, U]): Impl2[T, T, U]

Definition Classes
UFunc
11. #### def clone(): AnyRef

Attributes
protected[java.lang]
Definition Classes
AnyRef
Annotations
@throws( ... )
12. #### final def eq(arg0: AnyRef): Boolean

Definition Classes
AnyRef
13. #### def equals(arg0: Any): Boolean

Definition Classes
AnyRef → Any
14. #### def finalize(): Unit

Attributes
protected[java.lang]
Definition Classes
AnyRef
Annotations
@throws( classOf[java.lang.Throwable] )
15. #### final def getClass(): Class[_]

Definition Classes
AnyRef → Any
16. #### def hashCode(): Int

Definition Classes
AnyRef → Any
17. #### implicit def implFromTransposeAndSolve[T, TransT, MulRes, Result](implicit numericT: (T) ⇒ NumericOps[T], trans: CanTranspose[T, TransT], numericTrans: (TransT) ⇒ NumericOps[TransT], mul: operators.OpMulMatrix.Impl2[TransT, T, MulRes], numericMulRes: (MulRes) ⇒ NumericOps[MulRes], solve: operators.OpSolveMatrixBy.Impl2[MulRes, TransT, Result]): Impl[T, Result]

pinv for anything that can be transposed, multiplied with that transposed, and then solved.

pinv for anything that can be transposed, multiplied with that transposed, and then solved. This signature looks intense, but take it one step at a time.

T

the type of matrix

TransT

the transpose of that matrix

MulRes

the result of TransT * T

Result

the result of MulRes \ TransT

numericT

: Do I support operators

trans

: Can I be transposed?

numericTrans

: Does my transpose support operators

mul

: Can I multiply T and TransT?

numericMulRes

: Does the result of that multiplication support operators?

solve

: Can I solve the system of equations MulRes * x = TransT

returns

18. #### final def inPlace[V, V2, V3](v: V, v2: V2, v3: V3)(implicit impl: generic.UFunc.InPlaceImpl3[pinv.this.type, V, V2, V3]): Unit

Definition Classes
UFunc
19. #### final def inPlace[V, V2](v: V, v2: V2)(implicit impl: generic.UFunc.InPlaceImpl2[pinv.this.type, V, V2]): Unit

Definition Classes
UFunc
20. #### final def inPlace[V](v: V)(implicit impl: generic.UFunc.InPlaceImpl[pinv.this.type, V]): Unit

Definition Classes
UFunc
21. #### final def isInstanceOf[T0]: Boolean

Definition Classes
Any
22. #### final def ne(arg0: AnyRef): Boolean

Definition Classes
AnyRef
23. #### final def notify(): Unit

Definition Classes
AnyRef
24. #### final def notifyAll(): Unit

Definition Classes
AnyRef
25. #### final def synchronized[T0](arg0: ⇒ T0): T0

Definition Classes
AnyRef
26. #### def toString(): String

Definition Classes
AnyRef → Any
27. #### final def wait(): Unit

Definition Classes
AnyRef
Annotations
@throws( ... )
28. #### final def wait(arg0: Long, arg1: Int): Unit

Definition Classes
AnyRef
Annotations
@throws( ... )
29. #### final def wait(arg0: Long): Unit

Definition Classes
AnyRef
Annotations
@throws( ... )