Hi, and welcome to FriCAS!
On 05.07.23 11:56, 张志雄 wrote:
It seems there are functions to do row operations as described in below
url: https://fricas.github.io/api/LinearMultivariateMatrixPencil.html
The functions description is correct, you are just not using it the way
it is supposed to be used.
But it shows error when i try to use them as below:
-> C := matrix[[1,2],[3,4]]
-> addrows!(C,1,2,-3)
There are no library operations named addrows!
Use HyperDoc Browse or issue
)what op addrows!
to learn if there is any operation containing " addrows! " in its
name.
Cannot find a definition or applicable library operation named addrows!
with argument type(s)
Matrix(Integer)
PositiveInteger
PositiveInteger
Integer
Perhaps you should use "@" to indicate the required return type,
or "$" to specify which version of the function you need.
FriCAS is working as expected here, but maybe not the way you expected
it. Note that it says that it cannot fine a function addRows! that has
(in particular) Matrix(Integer) as its first argument type. The type on
the above website lists % as the type of the first argument. So this is
what you will have to provide.
I had to look up myself how this can actually be done. Strangely this
domain seems to be rather cumbersome to work with, at least for the
creation of a pencil. Maybe we should add a function that can coerce a
list of matrices into the pencil domain.
Hopefully, the following will enable you to go further. Otherwise, pose
the actual problem you want to solve.
(3) -> PEN==>LinearMultivariateMatrixPencil(Integer)
(9) -> r:=4; c:=3; l:=2; pen := qnew(r, c, l)
+0 0 0+ +0 0 0+
| | | |
|0 0 0| |0 0 0|
(9) [| |, | |]
|0 0 0| |0 0 0|
| | | |
+0 0 0+ +0 0 0+
Type: LinearMultivariateMatrixPencil(Integer)
(10) -> for i in 1..r repeat for j in 1..c repeat for k in 1..l repeat
pen(i,j,k) := random(10)
Type: Void
(11) -> pen
+6 5 3+ +9 1 5+
| | | |
|4 7 9| |0 4 1|
(11) [| |, | |]
|1 7 8| |3 2 9|
| | | |
+1 9 0+ +7 8 5+
Type: LinearMultivariateMatrixPencil(Integer)
(12) -> addRows!(pen,2,1,2)
+14 19 21+ +9 9 7+
| | | |
|4 7 9 | |0 4 1|
(12) [| |, | |]
|1 7 8 | |3 2 9|
| | | |
+1 9 0 + +7 8 5+
Type: LinearMultivariateMatrixPencil(Integer)
Ralf
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