Packages

object eig extends UFunc

Eigenvalue decomposition (right eigenvectors)

This function returns the real and imaginary parts of the eigenvalues, and the corresponding eigenvectors. For most (?) interesting matrices, the imaginary part of all eigenvalues will be zero (and the corresponding eigenvectors will be real). Any complex eigenvalues will appear in complex-conjugate pairs, and the real and imaginary components of the eigenvector for each pair will be in the corresponding columns of the eigenvector matrix. Take the complex conjugate to find the second eigenvector.

Based on EVD.java from MTJ 0.9.12

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Type Members

  1. type DenseEig = Eig[DenseVector[Double], DenseMatrix[Double]]
  2. case class Eig [V, M](eigenvalues: V, eigenvaluesComplex: V, eigenvectors: M) extends Product with Serializable
  3. type Impl[V, VR] = UImpl[eig.this.type, V, VR]
    Definition Classes
    UFunc
  4. type Impl2[V1, V2, VR] = UImpl2[eig.this.type, V1, V2, VR]
    Definition Classes
    UFunc
  5. type Impl3[V1, V2, V3, VR] = UImpl3[eig.this.type, V1, V2, V3, VR]
    Definition Classes
    UFunc
  6. type Impl4[V1, V2, V3, V4, VR] = UImpl4[eig.this.type, V1, V2, V3, V4, VR]
    Definition Classes
    UFunc
  7. type InPlaceImpl[V] = generic.UFunc.InPlaceImpl[eig.this.type, V]
    Definition Classes
    UFunc
  8. type InPlaceImpl2[V1, V2] = generic.UFunc.InPlaceImpl2[eig.this.type, V1, V2]
    Definition Classes
    UFunc
  9. type InPlaceImpl3[V1, V2, V3] = generic.UFunc.InPlaceImpl3[eig.this.type, V1, V2, V3]
    Definition Classes
    UFunc
  10. type SinkImpl[S, V] = generic.UFunc.SinkImpl[eig.this.type, S, V]
    Definition Classes
    UFunc
  11. type SinkImpl2[S, V1, V2] = generic.UFunc.SinkImpl2[eig.this.type, S, V1, V2]
    Definition Classes
    UFunc
  12. type SinkImpl3[S, V1, V2, V3] = generic.UFunc.SinkImpl3[eig.this.type, S, V1, V2, V3]
    Definition Classes
    UFunc

Value Members

  1. final def !=(arg0: Any): Boolean
    Definition Classes
    AnyRef → Any
  2. final def ##(): Int
    Definition Classes
    AnyRef → Any
  3. final def ==(arg0: Any): Boolean
    Definition Classes
    AnyRef → Any
  4. final def apply[V1, V2, V3, V4, VR](v1: V1, v2: V2, v3: V3, v4: V4)(implicit impl: Impl4[V1, V2, V3, V4, VR]): VR
    Definition Classes
    UFunc
  5. final def apply[V1, V2, V3, VR](v1: V1, v2: V2, v3: V3)(implicit impl: Impl3[V1, V2, V3, VR]): VR
    Definition Classes
    UFunc
  6. final def apply[V1, V2, VR](v1: V1, v2: V2)(implicit impl: Impl2[V1, V2, VR]): VR
    Definition Classes
    UFunc
  7. final def apply[V, VR](v: V)(implicit impl: Impl[V, VR]): VR
    Definition Classes
    UFunc
  8. final def asInstanceOf[T0]: T0
    Definition Classes
    Any
  9. implicit def canZipMapValuesImpl[T, V1, VR, U](implicit handhold: ScalarOf[T, V1], impl: Impl2[V1, V1, VR], canZipMapValues: CanZipMapValues[T, V1, VR, U]): Impl2[T, T, U]
    Definition Classes
    UFunc
  10. def clone(): AnyRef
    Attributes
    protected[java.lang]
    Definition Classes
    AnyRef
    Annotations
    @throws( ... )
  11. final def eq(arg0: AnyRef): Boolean
    Definition Classes
    AnyRef
  12. def equals(arg0: Any): Boolean
    Definition Classes
    AnyRef → Any
  13. def finalize(): Unit
    Attributes
    protected[java.lang]
    Definition Classes
    AnyRef
    Annotations
    @throws( classOf[java.lang.Throwable] )
  14. final def getClass(): Class[_]
    Definition Classes
    AnyRef → Any
  15. def hashCode(): Int
    Definition Classes
    AnyRef → Any
  16. final def inPlace[V, V2, V3](v: V, v2: V2, v3: V3)(implicit impl: generic.UFunc.InPlaceImpl3[eig.this.type, V, V2, V3]): V
    Definition Classes
    UFunc
  17. final def inPlace[V, V2](v: V, v2: V2)(implicit impl: generic.UFunc.InPlaceImpl2[eig.this.type, V, V2]): V
    Definition Classes
    UFunc
  18. final def inPlace[V](v: V)(implicit impl: generic.UFunc.InPlaceImpl[eig.this.type, V]): V
    Definition Classes
    UFunc
  19. final def isInstanceOf[T0]: Boolean
    Definition Classes
    Any
  20. final def ne(arg0: AnyRef): Boolean
    Definition Classes
    AnyRef
  21. final def notify(): Unit
    Definition Classes
    AnyRef
  22. final def notifyAll(): Unit
    Definition Classes
    AnyRef
  23. final def synchronized[T0](arg0: ⇒ T0): T0
    Definition Classes
    AnyRef
  24. def toString(): String
    Definition Classes
    AnyRef → Any
  25. final def wait(): Unit
    Definition Classes
    AnyRef
    Annotations
    @throws( ... )
  26. final def wait(arg0: Long, arg1: Int): Unit
    Definition Classes
    AnyRef
    Annotations
    @throws( ... )
  27. final def wait(arg0: Long): Unit
    Definition Classes
    AnyRef
    Annotations
    @throws( ... )
  28. final def withSink[S](s: S): WithSinkHelp[eig.this.type, S]
    Definition Classes
    UFunc
  29. implicit object Eig_DM_Impl extends Impl[DenseMatrix[Double], DenseEig]

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