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                <h3>
    private  subroutine lu_factor_dbl(a, ipvt, err)  

    </h3>
  <p>Computes the LU factorization of an M-by-N matrix.</p>

  <h4>Arguments</h4>
      <table class="table table-striped varlist">
    <thead>
      <tr>
        <th scope="col">Type</th>
<th scope="col">Intent</th><th scope="col">Optional</th>        <th scope="col">Attributes</th>
        <th scope="col"></th>
        <th scope="col">Name</th>
        <th scope="col"></th>