LAPACKE_dgeqrf hangs with omp dynamic enabled

[JohhnyEnglish]

I've been having an issue where scipy's svd hangs in mkl. My investigation seems to suggest its an issue where mkl is assuming it has 4 workers and is stuck waiting for them when it only has 1, due to me setting OMP_DYNAMIC=TRUE and omp reducing the number of workers when the machine is busy. 

Repro which was using the python `mkl-devel==2026.1.0` package:

#define _GNU_SOURCE

#include <mkl.h>
#include <omp.h>
#include <sched.h>
#include <stdio.h>


static double a[3000 * 128];
static double tau[128]


int main(void) {
    cpu_set_t cpus;

    /*
    We pin to one CPU to simulate OMP's behaviour when the load average on the machine is high.
    In dynamic mode this causes it to lower the maximum threading.
    */
    CPU_ZERO(&cpus);
    CPU_SET(sched_getcpu(), &cpus);
    if (sched_setaffinity(0, sizeof(cpus), &cpus) != 0) {
        perror("sched_setaffinity");
        return 1;
    }

    omp_set_dynamic(1);
    mkl_set_dynamic(0);
    mkl_set_num_threads_local(4);

    puts("starting DGEQRF");
    fflush(stdout);
    return LAPACKE_dgeqrf(LAPACK_COL_MAJOR, 3000, 128, a, 3000, tau)
}

Let me know if any more information would be useful