Developer Guide

Contents

Batch Processing

Algorithm Input

Pivoted QR decomposition accepts the input described below. Pass the Input ID as a parameter to the methods that provide input for your algorithm. For more details, see Algorithms.
Input ID
Input
data
Pointer to the numeric table that represents the
n
x
p
matrix
X
to be factorized. The input can be an object of any class derived from
NumericTable
.

Algorithm Parameters

Pivoted QR decomposition has the following parameters:
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.
permutedColumns
NULL
Pointer to the numeric table with the 1 x
p
matrix with the information for the permutation:
  • If the
    i
    -th element is zero, the
    i
    -th column of the input matrix is a free column and may be permuted with any other free column during the computation.
  • If the
    i
    -th element is non-zero, the
    i
    -th column of the input matrix is moved to the beginning of
    XP
    before the computation and remains in its place during the computation.
By default, this parameter is an object of the
HomogenNumericTable
class, filled by zeros. However, you can define this parameter as an object of any class derived from
NumericTable
except the
PackedSymmetricMatrix
class,
CSRNumericTable
class, and
PackedTriangularMatrix
class with the
lowerPackedTriangularMatrix
layout.

Algorithm Output

Pivoted QR decomposition calculates the results described below. Pass the Result ID as a parameter to the methods that access the results of your algorithm. For more details, see Algorithms.
Result ID
Result
matrixQ
Pointer to the numeric table with the
n
x
p
matrix
Q
1. By default, this result is an object of the
HomogenNumericTable
class, but you can define the result as an object of any class derived from
NumericTable
except
PackedSymmetricMatrix
,
PackedTriangularMatrix
, and
CSRNumericTable
.
matrixR
Pointer to the numeric table with the
p
x
p
upper triangular matrix
R
1. By default, this result is an object of the
HomogenNumericTable
class, but you can define the result as an object of any class derived from
NumericTable
except the
PackedSymmetricMatrix
class,
CSRNumericTable
class, and
PackedTriangularMatrix
class with the
lowerPackedTriangularMatrix
layout.
permutationMatrix
Pointer to the numeric table with the 1 x
p
matrix such that
permutationMatrix
(
i
) =
k
if the column
k
of the full matrix
X
is permuted into the position
i
in
XP
.
By default, this result is an object of the
HomogenNumericTable
class, but you can define the result as an object of any class derived from
NumericTable
except the
PackedSymmetricMatrix
class,
CSRNumericTable
class, and
PackedTriangularMatrix
class with the
lowerPackedTriangularMatrix
layout.

Product and Performance Information

1

Intel's compilers may or may not optimize to the same degree for non-Intel microprocessors for optimizations that are not unique to Intel microprocessors. These optimizations include SSE2, SSE3, and SSSE3 instruction sets and other optimizations. Intel does not guarantee the availability, functionality, or effectiveness of any optimization on microprocessors not manufactured by Intel. Microprocessor-dependent optimizations in this product are intended for use with Intel microprocessors. Certain optimizations not specific to Intel microarchitecture are reserved for Intel microprocessors. Please refer to the applicable product User and Reference Guides for more information regarding the specific instruction sets covered by this notice.

Notice revision #20110804