Added documentation for the matrix-update level-2 family of routines

This commit is contained in:
Cedric Nugteren 2016-06-10 11:16:06 +02:00
parent 6925003e45
commit 4fb8f9517c
2 changed files with 22 additions and 22 deletions

View file

@ -1416,7 +1416,7 @@ Arguments to TPMV:
xGER: General rank-1 matrix update
-------------
Performs the operation A = alpha * x * y^T + A, in which x is an input vector, y^T is the transpose of the input vector y, A is the matrix to be updated, and alpha is a scalar value.
C++ API:
```
@ -1478,7 +1478,7 @@ Arguments to GER:
xGERU: General rank-1 complex matrix update
-------------
Same operation as xGER, but with complex data-types.
C++ API:
```
@ -1533,7 +1533,7 @@ Arguments to GERU:
xGERC: General rank-1 complex conjugated matrix update
-------------
Same operation as xGERU, but the update is done based on the complex conjugate of the input vectors.
C++ API:
```
@ -1588,7 +1588,7 @@ Arguments to GERC:
xHER: Hermitian rank-1 matrix update
-------------
Performs the operation A = alpha * x * x^T + A, in which x is an input vector, x^T is the transpose of this vector, A is the triangular Hermetian matrix to be updated, and alpha is a scalar value.
C++ API:
```
@ -1637,7 +1637,7 @@ Arguments to HER:
xHPR: Hermitian packed rank-1 matrix update
-------------
Same operation as xHER, but matrix A is an Hermitian packed matrix instead and represented as AP.
C++ API:
```
@ -1685,7 +1685,7 @@ Arguments to HPR:
xHER2: Hermitian rank-2 matrix update
-------------
Performs the operation A = alpha * x * y^T + conj(alpha) * y * x^T + A, in which x is an input vector and x^T its transpose, y is an input vector and y^T its transpose, A is the triangular Hermetian matrix to be updated, alpha is a scalar value and conj(alpha) its complex conjugate.
C++ API:
```
@ -1740,7 +1740,7 @@ Arguments to HER2:
xHPR2: Hermitian packed rank-2 matrix update
-------------
Same operation as xHER2, but matrix A is an Hermitian packed matrix instead and represented as AP.
C++ API:
```
@ -1794,7 +1794,7 @@ Arguments to HPR2:
xSYR: Symmetric rank-1 matrix update
-------------
Same operation as xHER, but matrix A is a symmetric matrix instead.
C++ API:
```
@ -1849,7 +1849,7 @@ Arguments to SYR:
xSPR: Symmetric packed rank-1 matrix update
-------------
Same operation as xSPR, but matrix A is a symmetric packed matrix instead and represented as AP.
C++ API:
```
@ -1903,7 +1903,7 @@ Arguments to SPR:
xSYR2: Symmetric rank-2 matrix update
-------------
Same operation as xHER2, but matrix A is a symmetric matrix instead.
C++ API:
```
@ -1965,7 +1965,7 @@ Arguments to SYR2:
xSPR2: Symmetric packed rank-2 matrix update
-------------
Same operation as xSPR2, but matrix A is a symmetric packed matrix instead and represented as AP.
C++ API:
```

View file

@ -96,17 +96,17 @@ routines = [
Routine(False, True, "2a", "tbsv", T, [S,D,C,Z], ["n","k"], ["layout","triangle","a_transpose","diagonal"], ["a"], ["x"], [], "", "Solves a banded triangular system of equations", "", []),
Routine(False, True, "2a", "tpsv", T, [S,D,C,Z], ["n"], ["layout","triangle","a_transpose","diagonal"], ["ap"], ["x"], [], "", "Solves a packed triangular system of equations", "", []),
# Level 2: matrix update
Routine(True, True, "2b", "ger", T, [S,D,H], ["m","n"], ["layout"], ["x","y"], ["a"], ["alpha"], "", "General rank-1 matrix update", "", []),
Routine(True, True, "2b", "geru", T, [C,Z], ["m","n"], ["layout"], ["x","y"], ["a"], ["alpha"], "", "General rank-1 complex matrix update", "", []),
Routine(True, True, "2b", "gerc", T, [C,Z], ["m","n"], ["layout"], ["x","y"], ["a"], ["alpha"], "", "General rank-1 complex conjugated matrix update", "", []),
Routine(True, True, "2b", "her", Tc, [Css,Zdd], ["n"], ["layout","triangle"], ["x"], ["a"], ["alpha"], "", "Hermitian rank-1 matrix update", "", []),
Routine(True, True, "2b", "hpr", Tc, [Css,Zdd], ["n"], ["layout","triangle"], ["x"], ["ap"], ["alpha"], "", "Hermitian packed rank-1 matrix update", "", []),
Routine(True, True, "2b", "her2", T, [C,Z], ["n"], ["layout","triangle"], ["x","y"], ["a"], ["alpha"], "", "Hermitian rank-2 matrix update", "", []),
Routine(True, True, "2b", "hpr2", T, [C,Z], ["n"], ["layout","triangle"], ["x","y"], ["ap"], ["alpha"], "", "Hermitian packed rank-2 matrix update", "", []),
Routine(True, True, "2b", "syr", T, [S,D,H], ["n"], ["layout","triangle"], ["x"], ["a"], ["alpha"], "", "Symmetric rank-1 matrix update", "", []),
Routine(True, True, "2b", "spr", T, [S,D,H], ["n"], ["layout","triangle"], ["x"], ["ap"], ["alpha"], "", "Symmetric packed rank-1 matrix update", "", []),
Routine(True, True, "2b", "syr2", T, [S,D,H], ["n"], ["layout","triangle"], ["x","y"], ["a"], ["alpha"], "", "Symmetric rank-2 matrix update", "", []),
Routine(True, True, "2b", "spr2", T, [S,D,H], ["n"], ["layout","triangle"], ["x","y"], ["ap"], ["alpha"], "", "Symmetric packed rank-2 matrix update", "", []),
Routine(True, True, "2b", "ger", T, [S,D,H], ["m","n"], ["layout"], ["x","y"], ["a"], ["alpha"], "", "General rank-1 matrix update", "Performs the operation A = alpha * x * y^T + A, in which x is an input vector, y^T is the transpose of the input vector y, A is the matrix to be updated, and alpha is a scalar value.", []),
Routine(True, True, "2b", "geru", T, [C,Z], ["m","n"], ["layout"], ["x","y"], ["a"], ["alpha"], "", "General rank-1 complex matrix update", "Same operation as xGER, but with complex data-types.", []),
Routine(True, True, "2b", "gerc", T, [C,Z], ["m","n"], ["layout"], ["x","y"], ["a"], ["alpha"], "", "General rank-1 complex conjugated matrix update", "Same operation as xGERU, but the update is done based on the complex conjugate of the input vectors.", []),
Routine(True, True, "2b", "her", Tc, [Css,Zdd], ["n"], ["layout","triangle"], ["x"], ["a"], ["alpha"], "", "Hermitian rank-1 matrix update", "Performs the operation A = alpha * x * x^T + A, in which x is an input vector, x^T is the transpose of this vector, A is the triangular Hermetian matrix to be updated, and alpha is a scalar value.", []),
Routine(True, True, "2b", "hpr", Tc, [Css,Zdd], ["n"], ["layout","triangle"], ["x"], ["ap"], ["alpha"], "", "Hermitian packed rank-1 matrix update", "Same operation as xHER, but matrix A is an Hermitian packed matrix instead and represented as AP.", []),
Routine(True, True, "2b", "her2", T, [C,Z], ["n"], ["layout","triangle"], ["x","y"], ["a"], ["alpha"], "", "Hermitian rank-2 matrix update", "Performs the operation A = alpha * x * y^T + conj(alpha) * y * x^T + A, in which x is an input vector and x^T its transpose, y is an input vector and y^T its transpose, A is the triangular Hermetian matrix to be updated, alpha is a scalar value and conj(alpha) its complex conjugate.", []),
Routine(True, True, "2b", "hpr2", T, [C,Z], ["n"], ["layout","triangle"], ["x","y"], ["ap"], ["alpha"], "", "Hermitian packed rank-2 matrix update", "Same operation as xHER2, but matrix A is an Hermitian packed matrix instead and represented as AP.", []),
Routine(True, True, "2b", "syr", T, [S,D,H], ["n"], ["layout","triangle"], ["x"], ["a"], ["alpha"], "", "Symmetric rank-1 matrix update", "Same operation as xHER, but matrix A is a symmetric matrix instead.", []),
Routine(True, True, "2b", "spr", T, [S,D,H], ["n"], ["layout","triangle"], ["x"], ["ap"], ["alpha"], "", "Symmetric packed rank-1 matrix update", "Same operation as xSPR, but matrix A is a symmetric packed matrix instead and represented as AP.", []),
Routine(True, True, "2b", "syr2", T, [S,D,H], ["n"], ["layout","triangle"], ["x","y"], ["a"], ["alpha"], "", "Symmetric rank-2 matrix update", "Same operation as xHER2, but matrix A is a symmetric matrix instead.", []),
Routine(True, True, "2b", "spr2", T, [S,D,H], ["n"], ["layout","triangle"], ["x","y"], ["ap"], ["alpha"], "", "Symmetric packed rank-2 matrix update", "Same operation as xSPR2, but matrix A is a symmetric packed matrix instead and represented as AP.", []),
],
[ # Level 3: matrix-matrix
Routine(True, True, "3", "gemm", T, [S,D,C,Z,H], ["m","n","k"], ["layout","a_transpose","b_transpose"], ["a","b"], ["c"], ["alpha","beta"], "", "General matrix-matrix multiplication", "", []),