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Newest 'matrix' Questions - Mathematica Stack Exchange
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Learn more about TeamsQuestions tagged [matrix]
Questions on the manipulation of matrices in Mathematica.
3,632 questions
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3
votes
1
answer
91
views
Partial derivative of a matrix with respect to a vector dimension?
So I found this definition in this paper, but I wanted to double check that this is actually correct because I heard that the Partial derivative of a mxn matrix with respect to a p vector is supposed ...
0
votes
0
answers
39
views
ArrayExpand/ArraySimplify and cyclicity of the trace
I am trying to use the new (in 14.2) functions ArrayExpand and ArraySimplify to simplify expressions involving products of ...
5
votes
2
answers
191
views
Sum of combination of elements of a matrix
Give a $N \times N$ matrix $M$ in MMA, I am interested in finding a very particular sum using its matrix elements:
$ \sum_{i \neq j \neq k \neq l}^{N} M_{ij}M_{jk}M_{kl}M_{li}$,
which is of some use ...
0
votes
0
answers
54
views
Construction of RMT Hamiltonian with given potential
It is well known that the Random Matrix Theory (RMT), the potential function for the Gaussian ensembles, is
$V(H) = \frac{1}{2} H^2 \quad \Rightarrow \quad P(H) \propto e^{-\frac{N}{2} \operatorname{...
2
votes
3
answers
97
views
How can I generate a list of $n \times n$ permutation matrices containing exactly one matrix from each conjugacy class?
A permutation matrix is a $0-1$ matrix with exactly one $1$ in each row and in each column. Each $n \times n$ permutation matrix corresponds to exactly one permutation of $[n]$.
Each integer ...
0
votes
1
answer
64
views
Why the parallel version of CSR Sparse Matrix Multiplication does not provide the correct result? [closed]
More generally, why does the parallel version of this code associated with the Kahan sum not produce the same results?
The compressed sparse row (CSR) format is used for encoding sparse matrix. ...
0
votes
1
answer
92
views
How shall I extract/plot the first element in each row of a table which is a matrix for a variable? [closed]
I have a table out of a matrix for a variable, e.g., for the first value of a variable 0.1 it shows as
...
0
votes
0
answers
55
views
Bootstrapping with sdp solver in mathematica doesn't find the allowed eigenvalues properly
I am trying to bootstrap the harmonic oscillator in Mathematica using its built in SDP solver. I have the following code
...
1
vote
0
answers
55
views
Updating several entries of a matrix using an entry-position list
Consider the following 3x3 matrix (my solution needs to work for any matrix):
mat = Table[Subscript[m, i, j], {i, 3}, {j, 3}]
I can reset the entry in row 1 and ...
- 1,708
3
votes
1
answer
70
views
Find parameters b, c in a parameterized matrix A(b,c) to match two smallest eigenvalues to target values
I have matrix A that is dependent on two parameters b and c, so A = A(b,c). I need to find values for parameters b,c so that two smallest eigenvalues of my matrix A will be some exact numbers (in my ...
1
vote
1
answer
75
views
How to join many tables one under the other? [closed]
Suppose I have three tables with index 1, 2, 3
...
3
votes
2
answers
115
views
Generate PSD matrices with a condition
There is this highly upvoted but unanswered post at Math.SE. I would like to try some ideas. This requires numerical experiments with Hermitian and positive definite matrices $A$, $B$, and $C$ such ...
6
votes
1
answer
244
views
Optimization with vector constraint function
I would like to minimize a vector function subject to a vector constraint function. Unlike previous posts (Constrained FindMaximum with array valued function and Constrained optimization with a ...
1
vote
2
answers
212
views
How to resolve the issues in code for the system of PDEs?
I have the system of PDEs, that is:
$F_{1\eta\eta}^{k+1}(i,j)+A_1^k(i,j)F_{1\eta}^{k+1}(i,j)+A_2^k(i,j)F_1^{k+1}(i,j)+A_3^k(i,j)F_{1\xi}^{k+1}(i,j)+A_4^k(i,j)F_2^{k+1}(i,j)+A_5^k(i,j)G^{k+1}+A_6^k(i,j)...
4
votes
2
answers
370
views
Reproducing the Geometric Diagram from Strang's *Introduction to Linear Algebra* in Mathematica
I'm trying to recreate a geometric figure similar to the one on the cover of Gilbert Strang’s Introduction to Linear Algebra using Mathematica.
The cover illustrates the structure of the complete ...
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