Cholesky decomposition: Difference between revisions
Content added Content deleted
Alpha bravo (talk | contribs) (Added AutoHotkey) |
Alextretyak (talk | contribs) (Added 11l) |
||
| Line 78: | Line 78: | ||
# The Cholesky decomposition of a [[Pascal matrix generation|Pascal]] upper-triangle matrix is the [[wp:Identity matrix|Identity matrix]] of the same size. |
# The Cholesky decomposition of a [[Pascal matrix generation|Pascal]] upper-triangle matrix is the [[wp:Identity matrix|Identity matrix]] of the same size. |
||
# The Cholesky decomposition of a Pascal symmetric matrix is the Pascal lower-triangle matrix of the same size. |
# The Cholesky decomposition of a Pascal symmetric matrix is the Pascal lower-triangle matrix of the same size. |
||
=={{header|11l}}== |
|||
{{trans|Python}} |
|||
<lang 11l>F cholesky(A) |
|||
V l = [[0.0] * A.len] * A.len |
|||
L(i) 0 .< A.len |
|||
L(j) 0 .. i |
|||
V s = sum((0 .< j).map(k -> @l[@i][k] * @l[@j][k])) |
|||
l[i][j] = I (i == j) {sqrt(A[i][i] - s)} E (1.0 / l[j][j] * (A[i][j] - s)) |
|||
R l |
|||
F pprint(m) |
|||
print(‘[’) |
|||
L(row) m |
|||
print(row) |
|||
print(‘]’) |
|||
V m1 = [[25, 15, -5], |
|||
[15, 18, 0], |
|||
[-5, 0, 11]] |
|||
print(cholesky(m1)) |
|||
print() |
|||
V m2 = [[18, 22, 54, 42], |
|||
[22, 70, 86, 62], |
|||
[54, 86, 174, 134], |
|||
[42, 62, 134, 106]] |
|||
pprint(cholesky(m2))</lang> |
|||
{{out}} |
|||
<pre> |
|||
[[5, 0, 0], [3, 3, 0], [-1, 1, 3]] |
|||
[ |
|||
[4.24264, 0, 0, 0] |
|||
[5.18545, 6.56591, 0, 0] |
|||
[12.7279, 3.04604, 1.64974, 0] |
|||
[9.89949, 1.62455, 1.84971, 1.39262] |
|||
] |
|||
</pre> |
|||
=={{header|Ada}}== |
=={{header|Ada}}== |
||