# Batch and Online Processing¶

Online processing computation mode assumes that the data arrives in blocks $$i = 1, 2, 3, \ldots \text{nblocks}$$.

## Algorithm Input¶

The SVD algorithm accepts the input described below. Pass the Input ID as a parameter to the methods that provide input for your algorithm.

Algorithm Input for Singular Value Decomposition (Batch and Online Processing)

Input ID

Input

data

Pointer to the numeric table that represents:

• For batch processing, the entire $$n \times p$$ matrix $$X$$ to be factorized.

• For online processing, the $$n_i \times p$$ submatrix of $$X$$ that represents the current data block in the online processing mode.

The input can be an object of any class derived from NumericTable.

## Algorithm Parameters¶

The SVD algorithm has the following parameters:

Algorithm Parameters for Singular Value Decomposition (Batch and Online Processing)

Parameter

Default Value

Description

algorithmFPType

float

The floating-point type that the algorithm uses for intermediate computations. Can be float or double.

method

defaultDense

Performance-oriented computation method, the only method supported by the algorithm.

leftSingularMatrix

requiredInPackedForm

Specifies whether the matrix of left singular vectors is required. Can be:

• notRequired - the matrix is not required

• requiredInPackedForm - the matrix in the packed format is required

rightSingularMatrix

requiredInPackedForm

Specifies whether the matrix of left singular vectors is required. Can be:

• notRequired - the matrix is not required

• requiredInPackedForm - the matrix in the packed format is required

## Algorithm Output¶

The SVD algorithm calculates the results described below. Pass the Result ID as a parameter to the methods that access the results of your algorithm.

Algorithm Output for Singular Value Decomposition (Batch and Online Processing)

Result ID

Result

singularValues

Pointer to the $$1 \times p$$ numeric table with singular values (the diagonal of the matrix $$\Sigma$$).

leftSingularMatrix

Pointer to the $$n \times p$$ numeric table with left singular vectors (matrix $$U$$). Pass NULL if left singular vectors are not required.

rightSingularMatrix

Pointer to the $$p \times p$$ numeric table with right singular vectors (matrix $$V$$). Pass NULL if right singular vectors are not required.

Note

By default, these results are objects of the HomogenNumericTable class, but you can define the result as an object of any class derived from NumericTable except PackedSymmetricMatrix, PackedTriangularMatrix, and CSRNumericTable.