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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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: 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], DenseEig]

  7. 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

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

    Definition Classes
    UFunc

  9. final def apply[V1, V2, VR](v1: V1, v2: V2)(implicit impl: Impl2[V1, V2, VR]): VR

    Definition Classes
    UFunc

  10. final def apply[V, VR](v: V)(implicit impl: Impl[V, VR]): VR

    Definition Classes
    UFunc

  11. final def asInstanceOf[T0]: T0

    Definition Classes
    Any

  12. 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

  13. def clone(): AnyRef

    Attributes
    protected[java.lang]
    Definition Classes
    AnyRef
    Annotations
    @throws( ... )

  14. final def eq(arg0: AnyRef): Boolean

    Definition Classes
    AnyRef

  15. def equals(arg0: Any): Boolean

    Definition Classes
    AnyRef → Any

  16. def finalize(): Unit

    Attributes
    protected[java.lang]
    Definition Classes
    AnyRef
    Annotations
    @throws( classOf[java.lang.Throwable] )

  17. final def getClass(): Class[_]

    Definition Classes
    AnyRef → Any

  18. def hashCode(): Int

    Definition Classes
    AnyRef → Any

  19. 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

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

    Definition Classes
    UFunc

  21. final def inPlace[V](v: V)(implicit impl: generic.UFunc.InPlaceImpl[eig.this.type, V]): V

    Definition Classes
    UFunc

  22. final def isInstanceOf[T0]: Boolean

    Definition Classes
    Any

  23. final def ne(arg0: AnyRef): Boolean

    Definition Classes
    AnyRef

  24. final def notify(): Unit

    Definition Classes
    AnyRef

  25. final def notifyAll(): Unit

    Definition Classes
    AnyRef

  26. final def synchronized[T0](arg0: ⇒ T0): T0

    Definition Classes
    AnyRef

  27. def toString(): String

    Definition Classes
    AnyRef → Any

  28. final def wait(): Unit

    Definition Classes
    AnyRef
    Annotations
    @throws( ... )

  29. final def wait(arg0: Long, arg1: Int): Unit

    Definition Classes
    AnyRef
    Annotations
    @throws( ... )

  30. final def wait(arg0: Long): Unit

    Definition Classes
    AnyRef
    Annotations
    @throws( ... )

  31. final def withSink[S](s: S): WithSinkHelp[eig.this.type, S]

    Definition Classes
    UFunc

Inherited from UFunc

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