# Questions tagged [blas]

Basic Linear Algebra Subprograms - A standard API library with vector-vector, matrix-vector, and matrix-matrix operations.

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### Fast weighted vector inner product x*A*y with BLAS/LAPACK

Is there a way to compute the weighted vector inner product xAy with vectors x and y and Matrix A using BLAS/LAPACK while avoiding additional allocations or overwriting the inputs? I'm happy with ...
1 vote
131 views

### Using Sundials CVODE in MATLAB

I'm currently using ode15s to solve a set of stiff differential equations. I am trying to use the MATLAB profiler to understand the section of the ode solver code which calls BLAS routines. Since the ...
1 vote
89 views

### Automatic differentiation (AD) of a loss function which maps unitary matrix onto number

Is it possible to estimate whether automatic differentiation (AD) techniques could enable a more efficient way to repeatedly compute the derivative $\delta L / \delta u^*_{ij}$ of a specific loss ...
198 views

### Parallelize pseudo inverse of a matrix using Lapacke

I am currently using the protocol described in https://stackoverflow.com/questions/55599950/computation-of-pseidoinverse-with-svd-in-c-using-blas-and-lapacke to compute the pseudo inverse of a matrix. ...
104 views

245 views

### Level 3 BLAS accelerated solver for banded linear systems.

At the moment I consider the following problem. I have a huge dense banded matrix $A$ which I want to factorize and use to solve linear systems $Ax=b$. $b$ has around more than 100 columns. At the ...
655 views

### Danger of complex arithmetic in scientific computing

The complex inner product $\langle u,v\rangle$ has two different definitions decided by conventions: $\bar{u}^Tv$ or $u^T\bar{v}$. In BLAS, I found the routines ...
1k views

### BLAS/LAPACK Non absolute sum

I need to know if there is some function in BLAS/LAPACK or some other Scientific Library that returns a non absolute sum of a vector/matrix. I've found the 'asum', but it returns only the absolute ...