object svd extends UFunc
Computes the SVD of a M-by-N matrix Returns an M-by-M matrix U, a vector of singular values, and a N-by-N matrix V'
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- type DenseSVD = SVD[DenseMatrix[Double], DenseVector[Double]]
- type Impl[V, VR] = UImpl[svd.this.type, V, VR]
- Definition Classes
- UFunc
- type Impl2[V1, V2, VR] = UImpl2[svd.this.type, V1, V2, VR]
- Definition Classes
- UFunc
- type Impl3[V1, V2, V3, VR] = UImpl3[svd.this.type, V1, V2, V3, VR]
- Definition Classes
- UFunc
- type Impl4[V1, V2, V3, V4, VR] = UImpl4[svd.this.type, V1, V2, V3, V4, VR]
- Definition Classes
- UFunc
- type InPlaceImpl[V] = generic.UFunc.InPlaceImpl[svd.this.type, V]
- Definition Classes
- UFunc
- type InPlaceImpl2[V1, V2] = generic.UFunc.InPlaceImpl2[svd.this.type, V1, V2]
- Definition Classes
- UFunc
- type InPlaceImpl3[V1, V2, V3] = generic.UFunc.InPlaceImpl3[svd.this.type, V1, V2, V3]
- Definition Classes
- UFunc
- type OpMulMatrix_Mat_DV_eq_DV[Mat] = UImpl2[OpMulMatrix.type, Mat, DenseVector[Double], DenseVector[Double]]
- type SDenseSVD = SVD[DenseMatrix[Float], DenseVector[Float]]
- case class SVD[M, V](leftVectors: M, singularValues: V, rightVectors: M) extends Product with Serializable
- type SinkImpl[S, V] = generic.UFunc.SinkImpl[svd.this.type, S, V]
- Definition Classes
- UFunc
- type SinkImpl2[S, V1, V2] = generic.UFunc.SinkImpl2[svd.this.type, S, V1, V2]
- Definition Classes
- UFunc
- type SinkImpl3[S, V1, V2, V3] = generic.UFunc.SinkImpl3[svd.this.type, S, V1, V2, V3]
- Definition Classes
- UFunc
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- implicit def Svd_Sparse_Impl[Mat, MatTranspose](implicit mul: OpMulMatrix_Mat_DV_eq_DV[Mat], trans: CanTranspose[Mat, MatTranspose], mulTrans: OpMulMatrix_Mat_DV_eq_DV[MatTranspose], dimImpl: dim.Impl[Mat, (Int, Int)]): Impl3[Mat, Int, Double, DenseSVD]
Implementation of svds for a sparse matrix.
Implementation of svds for a sparse matrix. The caller provides two operations: mul - matrix multiplies a DenseVector, and trans - matrix transpose.
- Mat
Type of the input matrix of size n*m.
- MatTranspose
Type of the transpose of input matrix of size m*n.
- mul
Operation that multiples a matrix with a DenseVector. Example:
implicit object Op_Mul_Mat_V extends OpMulMatrixDenseVector[UserMatrixType] { def apply(mt: UserMatrixType, iv: DenseVector[Double]) = { // return another DenseVector[Double] = mt * iv } }
- trans
Operator for transposing the matrix. Example:
implicit object Op_Mat_Trans extends CanTranspose[UserMatrixType, UserMatrixTypeTranspose] { def apply(mt: UserMatrixType) = { // return a UserMatrixTypeTranspose which is the transpose of mt } }
- mulTrans
Operation that multiples a transposed matrix with a DenseVector. Example:
// if UserMatrixType and UserMatrixTypeTranspose are actually the same type, you do not need this implicit object Op_Mul_Mat_V extends OpMulMatrixDenseVector[UserMatrixTypeTranspose] { def apply(mtTrans: UserMatrixTypeTranspose, iv: DenseVector[Double]) = { // return another DenseVector[Double] = mtTrans * iv } }
- returns
Left singular vectors matrix of size n*k, singular value vector of length k, and transpose of right singular vectors matrix of size k*m.
- 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
- 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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- UFunc
- final def apply[V1, V2, VR](v1: V1, v2: V2)(implicit impl: Impl2[V1, V2, VR]): VR
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- final def apply[V, VR](v: V)(implicit impl: Impl[V, VR]): VR
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- final def inPlace[V, V2, V3](v: V, v2: V2, v3: V3)(implicit impl: generic.UFunc.InPlaceImpl3[svd.this.type, V, V2, V3]): V
- Definition Classes
- UFunc
- final def inPlace[V, V2](v: V, v2: V2)(implicit impl: generic.UFunc.InPlaceImpl2[svd.this.type, V, V2]): V
- Definition Classes
- UFunc
- final def inPlace[V](v: V)(implicit impl: generic.UFunc.InPlaceImpl[svd.this.type, V]): V
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- final def withSink[S](s: S): WithSinkHelp[svd.this.type, S]
- Definition Classes
- UFunc
- implicit object Svd_DM_Impl extends Impl[DenseMatrix[Double], DenseSVD]
- implicit object Svd_DM_Impl_Float extends Impl[DenseMatrix[Float], SDenseSVD]
- implicit object Svd_SM_Impl extends Impl2[CSCMatrix[Double], Int, DenseSVD]
- object reduced extends UFunc
Option for computing part of the M-by-N matrix U: The first min(M,N) columns of U and the first min(M,N) rows of V**T are returned in the arrays U and VT;