Eigenvalue

The Eigenvalue class is used to find the eigenvalues of an 'n' by 'n' matrix 'a' using an iterative technique that applies similarity transformations to convert 'a' into an upper triangular matrix, so that the eigenvalues appear along the diagonal. To improve performance, the 'a' matrix is first reduced to Hessenburg form. During the iterative steps, a shifted QR decomposition is performed. Caveats: (i) it will not handle eigenvalues that are complex numbers, (ii) it uses a simple shifting strategy that may slow convergence.

Linear Supertypes

Error, Eigen, AnyRef, Any

Instance Constructors

new Eigenvalue(a: MatrixD)

a
the matrix whose eigenvalues are sought

Value Members

final def !=(arg0: Any): Boolean

Definition Classes
AnyRef → Any
final def ##(): Int

Definition Classes
AnyRef → Any
final def ==(arg0: Any): Boolean

Definition Classes
AnyRef → Any
val DEBUG: Boolean

Debug flag
Debug flag

Attributes
protected
Definition Classes
Eigen
final def asInstanceOf[T0]: T0

Definition Classes
Any
def clone(): AnyRef

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

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

Definition Classes
AnyRef → Any
def finalize(): Unit

Attributes
protected[java.lang]
Definition Classes
AnyRef
Annotations
@throws( classOf[java.lang.Throwable] )
def flaw(method: String, message: String): Unit

Show the flaw by printing the error message.
Show the flaw by printing the error message.
method
the method where the error occurred
message
the error message

Definition Classes
Error
var g: MatrixD
final def getClass(): Class[_]

Definition Classes
AnyRef → Any
def getE: VectorD

Get the eigenvalue e vector.
def hashCode(): Int

Definition Classes
AnyRef → Any
final def isInstanceOf[T0]: Boolean

Definition Classes
Any
var lastE: Double
final def ne(arg0: AnyRef): Boolean

Definition Classes
AnyRef
final def notify(): Unit

Definition Classes
AnyRef
final def notifyAll(): Unit

Definition Classes
AnyRef
final def synchronized[T0](arg0: ⇒ T0): T0

Definition Classes
AnyRef
def toString(): String

Definition Classes
AnyRef → Any
final def wait(): Unit

Definition Classes
AnyRef
Annotations
@throws( ... )
final def wait(arg0: Long, arg1: Int): Unit

Definition Classes
AnyRef
Annotations
@throws( ... )
final def wait(arg0: Long): Unit

Definition Classes
AnyRef
Annotations
@throws( ... )

Related Doc: package linalgebra

class Eigenvalue extends Eigen with Error

Instance Constructors

new Eigenvalue(a: MatrixD)

Value Members

final def !=(arg0: Any): Boolean

final def ##(): Int

final def ==(arg0: Any): Boolean

val DEBUG: Boolean

final def asInstanceOf[T0]: T0

def clone(): AnyRef

var converging: Boolean

final def eq(arg0: AnyRef): Boolean

def equals(arg0: Any): Boolean

def finalize(): Unit

def flaw(method: String, message: String): Unit

var g: MatrixD

final def getClass(): Class[_]

def getE: VectorD

def hashCode(): Int

final def isInstanceOf[T0]: Boolean

var lastE: Double

final def ne(arg0: AnyRef): Boolean

final def notify(): Unit

final def notifyAll(): Unit

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

def toString(): String

final def wait(): Unit

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

final def wait(arg0: Long): Unit

Inherited from Error

Inherited from Eigen

Inherited from AnyRef

Inherited from Any

Ungrouped