scalation.linalgebra

Type Members

class Cholesky extends Error

This object provides a method to factor symmetric positive definite matrices a into l * l.
trait Eigen extends AnyRef

This trait defines constants used by classes and objects the Eigen group.
class Eigenvalue extends Eigen with Error

This 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.
class EigenvalueSym extends Eigen with Error

This class is used to find the eigenvalues of an n by n symmetric matrix 'a' using an iterative technique, the Symmetric QR Algorithm.
class Eigenvector extends Eigen with Error

This class is used to find the eigenvectors of an n by n matrix 'a' by solving equations of the form (a - eI)v = 0 where e is the eigenvalue and v is the eigenvector.
class Hessenburg extends Eigen with Error

This class is used to reduce, via similarity transformations, an n by n matrix 'a' to Hessenburg form 'h', where all elements two below the main diagonal are zero (or close to zero).
class HouseholderT extends Eigen with Error

This class performs a Householder Tridiagonalization on a symmetric matrix.
trait Matric extends Error

The Matric trait specifies the operations to be defined by three concrete implemeting classes: MatrixC, SparseMatrixC and SymTriMatrixC.
trait Matrir extends Error

The Matrir trait specifies the operations to be defined by three concrete implemeting classes: MatrixR, SparseMatrixR and SymTriMatrixR.
trait Matrix extends Error

The Matrix trait specifies the operations to be defined by four concrete implemeting classes: MatrixD, ParMatrixD, SparseMatrixD and SymTriMatrixD.
class MatrixC extends Matric with Error with Serializable

The MatrixC class stores and operates on Numeric Matrices of type Complex.
class MatrixD extends Matrix with Error with Serializable

The MatrixD class stores and operates on Numeric Matrices of type Double.
class MatrixR extends Matrir with Error with Serializable

The MatrixR class stores and operates on Numeric Matrices of type Rational.
class ParMatrixD extends Matrix with Error with Serializable

The ParMatrixD class stores and operates parallel on Numeric Matrices of type Double.
class ParSparseMatrixD extends Matrix with Error with Serializable

The ParSparseMatrixD class stores and operates on Matrices of Doubles.
class QRDecomp extends Error

This class is used to decompose an m by n matrix 'a' into an orthogonal m by n matrix 'q' and an n by n right upper triangular matrix 'r' such that a = q * r.
class SVD extends Error

This class is used to compute the Singlar Value Decomposition (SVD) of matrix 'a', i.
class SVDecomp extends AnyRef

This class performs Single Value Decompositions (SVDs).
class SparseMatrixC extends Matric with Error with Serializable

The SparseMatrixC class stores and operates on Matrices of Complex numbers.
class SparseMatrixD extends Matrix with Error with Serializable

The SparseMatrixD class stores and operates on Matrices of Doubles.
class SymTriMatrixC extends Matric with Error with Serializable

The SymTriMatrixC class stores and operates on symmetric tridiagonal matrices.
class SymTriMatrixD extends Matrix with Error with Serializable

The SymTriMatrixD class stores and operates on symmetric tridiagonal matrices.
class VectorC extends PartiallyOrdered[VectorC] with Error with Serializable

The VectorC class stores and operates on Numeric Vectors of base type Complex.
class VectorD extends PartiallyOrdered[VectorD] with Error with Serializable

The VectorD class stores and operates on Numeric Vectors of base type Double.
class VectorR extends PartiallyOrdered[VectorR] with Error with Serializable

The VectorR class stores and operates on Numeric Vectors of base type Rational.

Value Members

object CholeskyTest extends App

This object is used to test the Cholesky class.
object EigenTest extends App

This object is used to test the all the classes used in computing Eigenvalues and Eigenvectors for the non-symmetric/general case.
object Householder extends AnyRef

This object provides methods to compute Householder vectors and reflector matrices.
object HouseholderTest extends App

This object is used to test Householder object.
object MatrixC extends Error with Serializable

The MatrixC companion object provides operations for MatrixC that don't require 'this' (like static methods in Java).
object MatrixCTest extends App

The MatrixCTest object tests the operations provided by MatrixC.
object MatrixD extends Error with Serializable

The MatrixD companion object provides operations for MatrixD that don't require 'this' (like static methods in Java).
object MatrixDTest extends App

The MatrixDTest object tests the operations provided by MatrixD.
object MatrixR extends Error with Serializable

The MatrixR companion object provides operations for MatrixR that don't require 'this' (like static methods in Java).
object MatrixRTest extends App

The MatrixRTest object tests the operations provided by MatrixR.
object ParMatrixD extends Error with Serializable

The ParMatrixD companion object provides operations for ParMatrixD that don't require 'this' (like static methods in Java).
object ParMatrixDTest extends App

The ParMatrixDTest object tests the operations provided by ParMatrixD.
object ParSparseMatrixDTest extends App

This object is used to test the ParSparseMatrixD class.
object QRDecompTest extends App

This object is used to test the QRDecomp class.
object SVDTest extends App

This object is used to test the SVD class.
object SVDecompTest extends App

This object is used to test the SVDecomp class.
object SparseMatrixC extends Serializable

Companion object for the SparseMatrixC class.
object SparseMatrixCTest extends App

This object is used to test the SparseMatrixC class.
object SparseMatrixD extends Serializable

Companion object for the SparseMatrixD class.
object SparseMatrixDTest extends App

This object is used to test the SparseMatrixD class.
object SymTriMatrixCTest extends App

This object is used to test the SymTriMatrixC class.
object SymTriMatrixDTest extends App

This object is used to test the SymTriMatrixD class.
object SymmetricQRstep extends Eigen with Error

This class performs a symmetric QR step with a Wilkinson shift.
object VectorC extends Serializable

Companion object for VectorC class.
object VectorCTest extends App

This object tests the operations provided by VectorC.
object VectorD extends Serializable

Companion object for VectorD class.
object VectorDTest extends App

This object tests the operations provided by VectorD.
object VectorR extends Serializable

Companion object for VectorR class.
object VectorRTest extends App

This object tests the operations provided by VectorR.

linalgebra

package linalgebra

Type Members

class Cholesky extends Error

trait Eigen extends AnyRef

class Eigenvalue extends Eigen with Error

class EigenvalueSym extends Eigen with Error

class Eigenvector extends Eigen with Error

class Hessenburg extends Eigen with Error

class HouseholderT extends Eigen with Error

trait Matric extends Error

trait Matrir extends Error

trait Matrix extends Error

class MatrixC extends Matric with Error with Serializable

class MatrixD extends Matrix with Error with Serializable

class MatrixR extends Matrir with Error with Serializable

class ParMatrixD extends Matrix with Error with Serializable

class ParSparseMatrixD extends Matrix with Error with Serializable

class QRDecomp extends Error

class SVD extends Error

class SVDecomp extends AnyRef

class SparseMatrixC extends Matric with Error with Serializable

class SparseMatrixD extends Matrix with Error with Serializable

class SymTriMatrixC extends Matric with Error with Serializable

class SymTriMatrixD extends Matrix with Error with Serializable

class VectorC extends PartiallyOrdered[VectorC] with Error with Serializable

class VectorD extends PartiallyOrdered[VectorD] with Error with Serializable

class VectorR extends PartiallyOrdered[VectorR] with Error with Serializable

Value Members

object CholeskyTest extends App

object EigenTest extends App

object Householder extends AnyRef

object HouseholderTest extends App

object MatrixC extends Error with Serializable

object MatrixCTest extends App

object MatrixD extends Error with Serializable

object MatrixDTest extends App

object MatrixR extends Error with Serializable

object MatrixRTest extends App

object ParMatrixD extends Error with Serializable

object ParMatrixDTest extends App

object ParSparseMatrixDTest extends App

object QRDecompTest extends App

object SVDTest extends App

object SVDecompTest extends App

object SparseMatrixC extends Serializable

object SparseMatrixCTest extends App

object SparseMatrixD extends Serializable

object SparseMatrixDTest extends App

object SymTriMatrixCTest extends App

object SymTriMatrixDTest extends App

object SymmetricQRstep extends Eigen with Error

object VectorC extends Serializable

object VectorCTest extends App

object VectorD extends Serializable

object VectorDTest extends App

object VectorR extends Serializable

object VectorRTest extends App