All Questions
9
questions
8
votes
2
answers
388
views
Given square matrices A and B, how to solve T obeys Transpose[T]. A . T = B?
Dear Mathematica experts,
Given two square matrices, A and B, how do we use Mathematica to solve a matrix T such that T satisfies this matrix equation? (Here we have A,B,T $\in$ general linear matrix ...
- 251
4
votes
0
answers
137
views
Solving or Minimizing the Norm of the matrix equation $M^TAM - M^TB - B^TM =C$
I am trying to solve the matrix equation $M^TAM - M^TB - B^TM=C$ where I know A, B and C. My unknown matrix is M which has the special form that all the rows and columns sum to zero.
i.e. I have four ...
- 777
0
votes
0
answers
161
views
Not understanding the reason for not getting full rank matrix
I have a structure shown in figure. It has four members. Each member has represented by two displacement field $W_i$ and $U_i$. I have expressed this displacement field using some functions. I found ...
- 1,719
2
votes
1
answer
129
views
How to grab two points from linear equations and from a matrix m.x == b for the purpose of creating lines or planes from each row.?
Don't get me wrong I can easily do it on paper and I could probably write convoluted code that will get the job done but I feel like there has to be an easy Mathematica way to do this. A few users on ...
- 2,467
3
votes
1
answer
747
views
Solve the vector-matrix equation. Minimize the length of the desired n-dimensional vector
There is the following vector-matrix equation:
$$\mathbf x^\top\mathbf M\mathbf x=\begin{bmatrix}x_1&x_2&x_3\end{bmatrix}\begin{bmatrix}a&b&c\\d&e&f\\g&h&i\end{bmatrix}...
- 2,444
0
votes
5
answers
663
views
Find all the closest positive integer solutions within a bound for a simple linear equation
Suppose I have a linear equation/inequality like
$$xA+yB \leq C,$$
with $x,y \in \mathbb{Z}^{+}_{\neq 0}$ and $A,B,C \in \{x | x = 0.01\mu, \forall \mu \in \mathbb{Z}^+_{\neq0}\}$. I want to find ...
3
votes
1
answer
1k
views
Solve overdetermined set using Mathematica?
As shown below, this is a overdetermined system. Could you teach me how to find the optimized solution in Mathematica? I know it could be solved by the method of least square, but how to realize it in ...
- 31
3
votes
1
answer
216
views
Decomposing a diagonal positive real matrix
I would like to 'decompose' a diagonal positive real matrix $E$ of rank $D$ onto $\sum_{i=1}^{D}c(i)N^i$:
$$E = \left(
\begin{array}{ccc}
0 & & & \\
& a & & \\
&...
- 677
1
vote
2
answers
1k
views
Finding shortest non-zero vector $x$ satisfying $Ax=0 \pmod q$
Let $n$, $m$, and $q$ be positive integers (with $m > n$), and $A$ be a matrix over $\mathbb{Z}_q^{n \times m}$. Using Mathematica, I want to find the shortest non-zero vectors $x \in \mathbb{Z}_q^...
- 423