Object

breeze.linalg

eig

Related Doc: package linalg

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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]]

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  2. case class Eig[V, M](eigenvalues: V, eigenvaluesComplex: V, eigenvectors: M) extends Product with Serializable

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

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

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    UFunc
  5. type Impl3[V1, V2, V3, VR] = UImpl3[eig.this.type, V1, V2, V3, VR]

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    UFunc
  6. type Impl4[V1, V2, V3, V4, VR] = UImpl4[eig.this.type, V1, V2, V3, V4, VR]

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

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

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    UFunc
  9. type InPlaceImpl3[V1, V2, V3] = generic.UFunc.InPlaceImpl3[eig.this.type, V1, V2, V3]

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    Definition Classes
    UFunc
  10. type SinkImpl[S, V] = generic.UFunc.SinkImpl[eig.this.type, S, V]

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    Definition Classes
    UFunc
  11. type SinkImpl2[S, V1, V2] = generic.UFunc.SinkImpl2[eig.this.type, S, V1, V2]

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    Definition Classes
    UFunc
  12. type SinkImpl3[S, V1, V2, V3] = generic.UFunc.SinkImpl3[eig.this.type, S, V1, V2, V3]

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Value Members

  1. final def !=(arg0: Any): Boolean

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  2. final def ##(): Int

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  3. final def ==(arg0: Any): Boolean

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  4. implicit object Eig_DM_Impl extends Impl[DenseMatrix[Double], DenseEig]

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  5. 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

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

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

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

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

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  10. 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]

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  11. def clone(): AnyRef

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

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  13. def equals(arg0: Any): Boolean

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  14. def finalize(): Unit

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

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  16. def hashCode(): Int

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  17. final def inPlace[V, V2, V3](v: V, v2: V2, v3: V3)(implicit impl: generic.UFunc.InPlaceImpl3[eig.this.type, V, V2, V3]): V

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

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

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    UFunc
  20. final def isInstanceOf[T0]: Boolean

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

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  22. final def notify(): Unit

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  23. final def notifyAll(): Unit

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

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  25. def toString(): String

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  26. final def wait(): Unit

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    @throws( ... )
  27. final def wait(arg0: Long, arg1: Int): Unit

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

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

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