diff options
| author | julielangou <julie@cs.utk.edu> | 2016-10-11 16:42:42 -0700 |
|---|---|---|
| committer | GitHub <noreply@github.com> | 2016-10-11 16:42:42 -0700 |
| commit | f1753a0de871a87552cfa84f1b0c1ad4c9ce18d6 (patch) | |
| tree | b703b5cfd4ff4f931d7fd8ea4d8b1c60b59d2503 /SRC | |
| parent | e8eceb0f355009a0bef0a25305cba29734f465ee (diff) | |
| parent | a0bc3aa7ab247616315b05982832bcaab85145ad (diff) | |
Merge pull request #64 from cconrads-scicomp/xORCSD2BY1-doc
Doc: describe 2-by-1 CSD identity matrix dimension
Close #27
Diffstat (limited to 'SRC')
| -rw-r--r-- | SRC/cuncsd2by1.f | 7 | ||||
| -rw-r--r-- | SRC/dorcsd2by1.f | 9 | ||||
| -rw-r--r-- | SRC/sorcsd2by1.f | 7 | ||||
| -rw-r--r-- | SRC/zuncsd2by1.f | 7 |
4 files changed, 16 insertions, 14 deletions
diff --git a/SRC/cuncsd2by1.f b/SRC/cuncsd2by1.f index 511a14f2..1ce57400 100644 --- a/SRC/cuncsd2by1.f +++ b/SRC/cuncsd2by1.f @@ -47,18 +47,19 @@ *> orthonormal columns that has been partitioned into a 2-by-1 block *> structure: *> -*> [ I 0 0 ] +*> [ I1 0 0 ] *> [ 0 C 0 ] *> [ X11 ] [ U1 | ] [ 0 0 0 ] *> X = [-----] = [---------] [----------] V1**T . *> [ X21 ] [ | U2 ] [ 0 0 0 ] *> [ 0 S 0 ] -*> [ 0 0 I ] +*> [ 0 0 I2] *> *> X11 is P-by-Q. The unitary matrices U1, U2, and V1 are P-by-P, *> (M-P)-by-(M-P), and Q-by-Q, respectively. C and S are R-by-R *> nonnegative diagonal matrices satisfying C^2 + S^2 = I, in which -*> R = MIN(P,M-P,Q,M-Q). +*> R = MIN(P,M-P,Q,M-Q). I1 is a K1-by-K1 identity matrix and I2 is a +*> K2-by-K2 identity matrix, where K1 = MAX(Q+P-M,0), K2 = MAX(Q-P,0). *> *> \endverbatim * diff --git a/SRC/dorcsd2by1.f b/SRC/dorcsd2by1.f index 2f2f1561..8542a2ed 100644 --- a/SRC/dorcsd2by1.f +++ b/SRC/dorcsd2by1.f @@ -39,25 +39,24 @@ *> ============= *> *>\verbatim -*> Purpose: -*> ======== *> *> DORCSD2BY1 computes the CS decomposition of an M-by-Q matrix X with *> orthonormal columns that has been partitioned into a 2-by-1 block *> structure: *> -*> [ I 0 0 ] +*> [ I1 0 0 ] *> [ 0 C 0 ] *> [ X11 ] [ U1 | ] [ 0 0 0 ] *> X = [-----] = [---------] [----------] V1**T . *> [ X21 ] [ | U2 ] [ 0 0 0 ] *> [ 0 S 0 ] -*> [ 0 0 I ] +*> [ 0 0 I2] *> *> X11 is P-by-Q. The orthogonal matrices U1, U2, and V1 are P-by-P, *> (M-P)-by-(M-P), and Q-by-Q, respectively. C and S are R-by-R *> nonnegative diagonal matrices satisfying C^2 + S^2 = I, in which -*> R = MIN(P,M-P,Q,M-Q). +*> R = MIN(P,M-P,Q,M-Q). I1 is a K1-by-K1 identity matrix and I2 is a +*> K2-by-K2 identity matrix, where K1 = MAX(Q+P-M,0), K2 = MAX(Q-P,0). *> \endverbatim * * Arguments: diff --git a/SRC/sorcsd2by1.f b/SRC/sorcsd2by1.f index 1121e4c4..4fdf9aa8 100644 --- a/SRC/sorcsd2by1.f +++ b/SRC/sorcsd2by1.f @@ -44,18 +44,19 @@ *> orthonormal columns that has been partitioned into a 2-by-1 block *> structure: *> -*> [ I 0 0 ] +*> [ I1 0 0 ] *> [ 0 C 0 ] *> [ X11 ] [ U1 | ] [ 0 0 0 ] *> X = [-----] = [---------] [----------] V1**T . *> [ X21 ] [ | U2 ] [ 0 0 0 ] *> [ 0 S 0 ] -*> [ 0 0 I ] +*> [ 0 0 I2] *> *> X11 is P-by-Q. The orthogonal matrices U1, U2, and V1 are P-by-P, *> (M-P)-by-(M-P), and Q-by-Q, respectively. C and S are R-by-R *> nonnegative diagonal matrices satisfying C^2 + S^2 = I, in which -*> R = MIN(P,M-P,Q,M-Q). +*> R = MIN(P,M-P,Q,M-Q). I1 is a K1-by-K1 identity matrix and I2 is a +*> K2-by-K2 identity matrix, where K1 = MAX(Q+P-M,0), K2 = MAX(Q-P,0). *> \endverbatim * * Arguments: diff --git a/SRC/zuncsd2by1.f b/SRC/zuncsd2by1.f index a322f2a1..a0955295 100644 --- a/SRC/zuncsd2by1.f +++ b/SRC/zuncsd2by1.f @@ -47,18 +47,19 @@ *> orthonormal columns that has been partitioned into a 2-by-1 block *> structure: *> -*> [ I 0 0 ] +*> [ I1 0 0 ] *> [ 0 C 0 ] *> [ X11 ] [ U1 | ] [ 0 0 0 ] *> X = [-----] = [---------] [----------] V1**T . *> [ X21 ] [ | U2 ] [ 0 0 0 ] *> [ 0 S 0 ] -*> [ 0 0 I ] +*> [ 0 0 I2] *> *> X11 is P-by-Q. The unitary matrices U1, U2, and V1 are P-by-P, *> (M-P)-by-(M-P), and Q-by-Q, respectively. C and S are R-by-R *> nonnegative diagonal matrices satisfying C^2 + S^2 = I, in which -*> R = MIN(P,M-P,Q,M-Q). +*> R = MIN(P,M-P,Q,M-Q). I1 is a K1-by-K1 identity matrix and I2 is a +*> K2-by-K2 identity matrix, where K1 = MAX(Q+P-M,0), K2 = MAX(Q-P,0). *> \endverbatim * * Arguments: |