Matrices for well-conditioned biorthogonal spline wavelet bases on the interval

<p>Refinement matrices for the wavelet bases described in Chapter 2 of the thesis &quot;Adaptive tensor product wavelet methods for solving PDEs&quot; (T.J. Dijkema, 2009).</p> <p>Each directory of this data set contains the following matrices (in Matrix Market format):</p> <ul> <li><strong>m</strong>-<em>j</em>: two-scale matrix on level <em>j</em> (thesis p.12)</li> <li><strong>mass</strong>-<em>j</em>: mass matrix on level <em>j</em></li> <li><strong>r</strong>-<em>j</em>, <strong>tr</strong>-<em>j</em>, <strong>trinit</strong>-<em>j</em>: transformation matrix R_<em>j</em>,&nbsp;\tilde{R}_<em>j</em>,&nbsp; \tilde{R}_<em>j</em>^{init} (thesis p.24-25)</li> </ul> <p>The directory names are {d}-{td}-{ml}-{mr}-{tml}-{tmr} where:</p> <ul> <li><strong>d</strong>: Jackson estimate on primal side</li> <li><strong>td</strong>: Jackson estimate on dual side</li> <li><strong>ml</strong> / <strong>mr</strong>: number of vanishing moments on left/right boundary, primal side</li> <li><strong>tml</strong> / <strong>tmr</strong>: number of vanishing moments on left/right boundary, dual side</li> </ul>