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Added Polynomial Smoother infos

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fdurastante
2024-11-18 10:03:21 +01:00
parent 82de529c54
commit 70fb39ae55
38 changed files with 4595 additions and 6181 deletions
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@@ -88,19 +88,19 @@ class="cmr-12">5</span></a><span
class="cmr-12">,</span><span
class="cmr-12">&#x00A0;</span><a
href="userhtmlli5.html#XStuben_01"><span
class="cmr-12">31</span></a><span
class="cmr-12">33</span></a><span
class="cmr-12">]</span></span><span
class="cmr-12">), to be used in the iterative solution of linear systems,</span>
<table
class="equation"><tr><td>
<center class="math-display" >
<div class="math-display" >
<img
src="userhtml0x.png" alt="Ax = b,
" class="math-display" ><a
id="x4-3001r1"></a></center></td><td class="equation-label"><span
id="x4-3001r1"></a></div>
</td><td class="equation-label"><span
class="cmr-12">(1)</span></td></tr></table>
<!--l. 11--><p class="nopar" >
<span
<!--l. 11--><p class="nopar" ><span
class="cmr-12">where </span><span
class="cmmi-12">A </span><span
class="cmr-12">is a square, real or complex, sparse symmetric positive definite (s.p.d)</span>
@@ -121,7 +121,7 @@ class="cmr-12">5</span></a><span
class="cmr-12">,</span><span
class="cmr-12">&#x00A0;</span><a
href="userhtmlli5.html#XNotay2008"><span
class="cmr-12">27</span></a><span
class="cmr-12">29</span></a><span
class="cmr-12">]</span></span><span
class="cmr-12">; they can be combined with Jacobi, hybrid forward/backward</span>
<span
@@ -149,7 +149,8 @@ class="cmr-12">problem, e.g., the discretization of a PDE. To this end, two diff
<span
class="cmr-12">strategies, based on aggregation, are available:</span>
<ul class="itemize1">
<li class="itemize"><span
<li class="itemize">
<!--l. 35--><p class="noindent" ><span
class="cmr-12">a decoupled version of the smoothed aggregation procedure proposed in</span><span
class="cmr-12">&#x00A0;</span><span class="cite"><span
class="cmr-12">[</span><a
@@ -159,7 +160,7 @@ class="cmr-12">,</span>
<span
class="cmr-12">&#x00A0;</span><a
href="userhtmlli5.html#XVANEK_MANDEL_BREZINA"><span
class="cmr-12">33</span></a><span
class="cmr-12">35</span></a><span
class="cmr-12">]</span></span><span
class="cmr-12">, and already included in the previous versions of the package</span><span
class="cmr-12">&#x00A0;</span><span class="cite"><span
@@ -176,7 +177,8 @@ class="cmr-12">;</span>
</li>
<li class="itemize"><span
<li class="itemize">
<!--l. 39--><p class="noindent" ><span
class="cmr-12">a coupled, parallel implementation of the Coarsening based on Compatible</span>
<span
class="cmr-12">Weighted Matching introduced in</span><span
@@ -232,11 +234,11 @@ class="cmr-12">computational framework</span><span
class="cmr-12">&#x00A0;</span><span class="cite"><span
class="cmr-12">[</span><a
href="userhtmlli5.html#Xpsblas_00"><span
class="cmr-12">22</span></a><span
class="cmr-12">23</span></a><span
class="cmr-12">,</span><span
class="cmr-12">&#x00A0;</span><a
href="userhtmlli5.html#XPSBLAS3"><span
class="cmr-12">21</span></a><span
class="cmr-12">22</span></a><span
class="cmr-12">]</span></span><span
class="cmr-12">. PSBLAS provides basic linear algebra operators</span>
<span
@@ -283,11 +285,11 @@ class="cmr-12">AMG4PSBLAS has a layered and modular software architecture where
class="cmr-12">layers can be identified. The lower layer consists of the PSBLAS kernels, the middle</span>
<span
class="cmr-12">one implements the construction and application phases of the preconditioners, and the</span>
<span
class="cmr-12">upper one provides a uniform interface to all the preconditioners. This architecture</span>
<span
class="cmr-12">upper one provides a uniform interface to all the preconditioners. This architecture</span>
<span
class="cmr-12">allows for different levels of use of the package: few black-box routines at the upper</span>
<span
@@ -362,6 +364,9 @@ class="cmr-12">.</span>
<!--l. 1--><div class="crosslinks"><p class="noindent"><span
class="cmr-12">[</span><a
href="userhtmlse2.html" ><span