# Tag Info

### Least norm solution to a set of linear equations

If I'm not mistaken, this is what you're looking for: Inputs for a problem of the form mat.x == y: ...
Accepted

### Least norm solution to a set of linear equations

It is a standard fact that x = PseudoInverse[M].b does what I think you want, namely: Return an x that minimizes ...

### Finding eigenvectors of a symbolic matrix

Here is one, not particularly sophisticated, approach using Normalize. You could use evs = Map[Normalize,Eigenvectors[{{a,b},{b,-a}}]]; to get normalized ...
Accepted

### Matrix Integro-differential equation

The problem can easily be solved after reformulation to a system of ODEs. Let us start with  \frac{d\rho}{dt}=-i[H_{0}(t),\rho(t)]-A^{2}\Big[H_{1},\int_{t1}^{t}e^{-B(t-s)}\Big(e^{-i\int_{s}^{t}H_{0}(...

### How to find the index of a square matrix in Mathematica quickly?

In version 13.0.1, there is a undocumentation function LinearAlgebraMatrixIndex. But I'm not sure when this is introduced ...

### Solution to a linear equation with minimum rank

We can use Nonnegative Least Squares Algorithm (NNLS) discussed here to solve matrix equation X.M=A with constraints ...

### Approximate strictly positive solution to a linear set of equations?

THIS IS AN EXTENDED COMMENT RATHER THAN AN ANSWER. It is inefficient to use Table to generate random numbers. ...

### Nonnegative Least Squares Algorithm (NNLS)

We can compare 6 algorithms based on FindMinimum,NMinimize, ConvexOptimization, ...

### How to solve this equation with matrix rank condition

The build-in function MatrixRank cannot work in symbolic matrix. So I make a symbolic version MatrixRankSym here, then: ...

### Solution to a linear equation with minimum rank

Your transposed equation looks like Transpose[M].Transpose[X]==Transpose[A] LeastSquares finds the minimal solution ...

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Accepted

### How to obtain independent variables from a set of linear constraints

First one can set up and solve the system. ...

### How can I generate a tridiagonal block matrix?

The matrix you have is block tridiagonal and block Toeplitz. I'll give two methods: one that uses nothing but documented functionality, and one that uses undocumented functionality. First up is an ...

### How can I generate a tridiagonal block matrix?

It must be many ways to do this,here we provide one way. ...