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1. Add support for DD and SDD matrix cones to `sdpsol`
2. Add support for DSOS and SDSOS polynomial cones to `sossol` (and derived sum-of-squares solvers)
### Discussed in https://github.com/iFR-A…
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This issue is inspired by [this](https://math.stackexchange.com/questions/4250154/cayley-hamilton-in-macaulay2) Stack Exchange question that I randomly ran into.
Would be great if the following wor…
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Approximant bases, or sigma bases, or order bases, are in their original form relaxations of kernel bases of polynomial matrices which behave extremely nicely. They generalise Padé approximation and…
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[symmetry_MRE.jl.txt](https://github.com/user-attachments/files/16600047/symmetry_MRE.jl.txt)
Here is a script which hopefully reproduces an error I am encountering with symmetries. If you're inter…
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I am trying to port some code from Sage to SymPy that deals with matrices whose entries are polynomials. The naive way,
```
X = symbols("X")
Matrix([[X, 0]]) == X * Matrix([[1, 0]])
```
works fine, …
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Hi.
I encountered an error when I tried to compare if two symbolic values are equal. They are expressed as $\frac{-x}{1-(y-z)}$ and $\frac{x}{(y-z)-1}$, which should be equal. But in the following …
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Implement the basic structures
- [x] Integer (BigInt)
- [ ] Real Number (BigDecimal)
- [ ] Rational Number
- [ ] Complex Number
- [ ] Quaternions
- [ ] Polynomials
- [ ] Vectors
- [ ] Matrices
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When computing the homology of matrices, Macaulay seems to have an issue with composing matrices over a polynomial ring.
```macaulay2
R = QQ[x]
M = matrix{{0,x},{0,0}}
homology(M,M)
```
retu…
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Based on discussions with @mezzarobba and @fredrik-johansson:
- [ ] A module for generic Ore polynomials: `gr_ore_poly`
- [ ] differential operators in `d/dz` and in `z*d/dz`, with `gr_poly`s as…
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As reported on [this ask question](http://ask.sagemath.org/question/31323/cannot-mulyiply-polynomial-by-matrix-when-ordering-is-explicitly-specified/?answer=31324#post-id-31324):
```
sage: F = GF(1…