qics.io.read_sdpa¶

qics.io.read_sdpa(filename)[source]¶

Reads a file in the SDPA sparse format, and returns a Model represnting the standard form semidefinite program

\[ \begin{align}\begin{aligned}\min_{x \in \mathbb{R}^p} &&& c^\top x\\\text{s.t.} &&& \sum_{i=1}^p F_i x_i - F_0 \succeq 0\end{aligned}\end{align} \]

Two types of SDPA sparse file formats are supported.

*.dat-s: Standard SDPA sparse file, where \(F_i\in\mathbb{S}^n\) for \(i=0,\ldots,p\).
*.dat-c: Complex-valued SDPA sparse file, where \(F_i\in\mathbb{H}^n\) for \(i=0,\ldots,p\).

Parameters:

filenamestring: Name of the SPDA sparse file we want to read.

Returns:

Model: Model representing the semidefinite program from the specified file.