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

trait UFunc
trait HasOps
class Object
trait Matchable
class Any

Type members

Classlikes

case class Eig[V, M](eigenvalues: V, eigenvaluesComplex: V, eigenvectors: M)
object Eig_DM_Impl extends Impl[DenseMatrix[Double], DenseEig]

Types

type DenseEig = Eig[DenseVector[Double], DenseMatrix[Double]]

Inherited types

type Impl[V, VR] = UImpl[UFunc, V, VR]
Inherited from
UFunc
type Impl2[V1, V2, VR] = UImpl2[UFunc, V1, V2, VR]
Inherited from
UFunc
type Impl3[V1, V2, V3, VR] = UImpl3[UFunc, V1, V2, V3, VR]
Inherited from
UFunc
type Impl4[V1, V2, V3, V4, VR] = UImpl4[UFunc, V1, V2, V3, V4, VR]
Inherited from
UFunc
Inherited from
UFunc
type InPlaceImpl2[V1, V2] = InPlaceImpl2[UFunc, V1, V2]
Inherited from
UFunc
type InPlaceImpl3[V1, V2, V3] = InPlaceImpl3[UFunc, V1, V2, V3]
Inherited from
UFunc
type SinkImpl[S, V] = SinkImpl[UFunc, S, V]
Inherited from
UFunc
type SinkImpl2[S, V1, V2] = SinkImpl2[UFunc, S, V1, V2]
Inherited from
UFunc
type SinkImpl3[S, V1, V2, V3] = SinkImpl3[UFunc, S, V1, V2, V3]
Inherited from
UFunc

Value members

Inherited methods

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
Inherited from
UFunc
final def apply[V1, @specialized(Int, Double, Float) V2, @specialized(Int, Double, Float) V3, @specialized(Int, Double, Float) VR](v1: V1, v2: V2, v3: V3)(implicit impl: Impl3[V1, V2, V3, VR]): VR
Inherited from
UFunc
final def apply[@specialized(Int, Double, Float) V1, @specialized(Int, Double, Float) V2, @specialized(Int, Double, Float) VR](v1: V1, v2: V2)(implicit impl: Impl2[V1, V2, VR]): VR
Inherited from
UFunc
final def apply[@specialized(Int, Double, Float) V, @specialized(Int, Double, Float) VR](v: V)(implicit impl: Impl[V, VR]): VR
Inherited from
UFunc
final def inPlace[V, V2, V3](v: V, v2: V2, v3: V3)(implicit impl: InPlaceImpl3[eig, V, V2, V3]): V
Inherited from
UFunc
final def inPlace[V, V2](v: V, v2: V2)(implicit impl: InPlaceImpl2[eig, V, V2]): V
Inherited from
UFunc
final def inPlace[V](v: V)(implicit impl: InPlaceImpl[eig, V]): V
Inherited from
UFunc
final def withSink[S](s: S): WithSinkHelp[eig, S]
Inherited from
UFunc