breeze.linalg

eig

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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UFunc, AnyRef, Any
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Type Members

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

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

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

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

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

    Definition Classes
    UFunc
  6. type InPlaceImpl3[V1, V2, V3] = generic.UFunc.InPlaceImpl3[eig.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. implicit object Eig_DM_Impl extends Impl[DenseMatrix[Double], (DenseVector[Double], DenseVector[Double], DenseMatrix[Double])]

  7. final def apply[V1, V2, V3, VR](v1: V1, v2: V2, v3: V3)(implicit impl: Impl3[V1, V2, V3, VR]): VR

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

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

    Definition Classes
    UFunc
  10. final def asInstanceOf[T0]: T0

    Definition Classes
    Any
  11. 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
  12. def clone(): AnyRef

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

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

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

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

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

    Definition Classes
    AnyRef → Any
  18. final def inPlace[V, V2, V3](v: V, v2: V2, v3: V3)(implicit impl: generic.UFunc.InPlaceImpl3[eig.this.type, V, V2, V3]): Unit

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

    Definition Classes
    UFunc
  20. final def inPlace[V](v: V)(implicit impl: generic.UFunc.InPlaceImpl[eig.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( ... )

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