projects / ceph.git / blame
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1 | <?xml version="1.0" encoding="UTF-8"?> |
| 2 | <!DOCTYPE html PUBLIC "-//W3C//DTD XHTML 1.0 Transitional//EN" "http://www.w3.org/TR/xhtml1/DTD/xhtml1-transitional.dtd"> | |
| 3 | <html xmlns="http://www.w3.org/1999/xhtml"> | |
| 4 | <head> | |
| 5 | <title>BLAS</title> | |
| 6 | <meta name="GENERATOR" content="Quanta Plus" /> | |
| 7 | <meta name="AUTHOR" content="Gunter Winkler" /> | |
| 8 | <meta http-equiv="Content-Type" content="text/html; charset=UTF-8" /> | |
| 9 | <link rel="stylesheet" href="../../../../boost.css" type="text/css"/> | |
| 10 | <link rel="stylesheet" href="ublas.css" type="text/css" /> | |
| 11 | <script type="text/javascript" src="js/jquery-1.3.2.min.js" async="async" ></script> | |
| 12 | <script type="text/javascript" src="js/jquery.toc-gw.js" async="async" ></script> | |
| 13 | </head> | |
| 14 | <body> | |
| 15 | ||
| 16 | ||
| 17 | <h1>Level 3 BLAS</h1> | |
| 18 | <div class="toc" id="toc"></div> | |
| 19 | <hr /> | |
| 20 | <a name="_details"></a> | |
| 21 | ||
| 22 | <table summary="" border=0 cellpadding=0 cellspacing=0> | |
| 23 | <tr><td></td></tr> | |
| 24 | <tr><td colspan=2><br /><h2>Functions</h2></td></tr> | |
| 25 | <tr><td class="memItemLeft" nowrap align=right valign=top>template<class M1, class T, class M2, class M3> M1 & </td><td class="memItemRight" valign=bottom><a class="el" href="#ga0">boost::numeric::ublas::blas_3::tmm</a> (M1 &m1, const T &t, const M2 &m2, const M3 &m3)</td></tr> | |
| 26 | ||
| 27 | <tr><td class="mdescLeft"> </td><td class="mdescRight">triangular matrix multiplication <a href="#ga0"></a><br /><br /></td></tr> | |
| 28 | <tr><td class="memItemLeft" nowrap align=right valign=top>template<class M1, class T, class M2, class C> M1 & </td><td class="memItemRight" valign=bottom><a class="el" href="#ga1">boost::numeric::ublas::blas_3::tsm</a> (M1 &m1, const T &t, const M2 &m2, C)</td></tr> | |
| 29 | ||
| 30 | <tr><td class="mdescLeft"> </td><td class="mdescRight">triangular solve <em>m2</em> * <em>x</em> = <em>t</em> * <em>m1</em> in place, <em>m2</em> is a triangular matrix <a href="#ga1"></a><br /><br /></td></tr> | |
| 31 | <tr><td class="memItemLeft" nowrap align=right valign=top>template<class M1, class T1, class T2, class M2, class M3> M1 & </td><td class="memItemRight" valign=bottom><a class="el" href="#ga2">boost::numeric::ublas::blas_3::gmm</a> (M1 &m1, const T1 &t1, const T2 &t2, const M2 &m2, const M3 &m3)</td></tr> | |
| 32 | ||
| 33 | <tr><td class="mdescLeft"> </td><td class="mdescRight">general matrix multiplication <a href="#ga2"></a><br /><br /></td></tr> | |
| 34 | <tr><td class="memItemLeft" nowrap align=right valign=top>template<class M1, class T1, class T2, class M2> M1 & </td><td class="memItemRight" valign=bottom><a class="el" href="#ga3">boost::numeric::ublas::blas_3::srk</a> (M1 &m1, const T1 &t1, const T2 &t2, const M2 &m2)</td></tr> | |
| 35 | ||
| 36 | <tr><td class="mdescLeft"> </td><td class="mdescRight">symmetric rank k update: <em>m1</em> = <em>t</em> * <em>m1</em> + <em>t2</em> * (<em>m2</em> * <em>m2<sup>T</sup></em>) <a href="#ga3"></a><br /><br /></td></tr> | |
| 37 | <tr><td class="memItemLeft" nowrap align=right valign=top>template<class M1, class T1, class T2, class M2> M1 & </td><td class="memItemRight" valign=bottom><a class="el" href="#ga4">boost::numeric::ublas::blas_3::hrk</a> (M1 &m1, const T1 &t1, const T2 &t2, const M2 &m2)</td></tr> | |
| 38 | ||
| 39 | <tr><td class="mdescLeft"> </td><td class="mdescRight">hermitian rank k update: <em>m1</em> = <em>t</em> * <em>m1</em> + <em>t2</em> * (<em>m2</em> * <em>m2<sup>H</sup></em>) <a href="#ga4"></a><br /><br /></td></tr> | |
| 40 | <tr><td class="memItemLeft" nowrap align=right valign=top>template<class M1, class T1, class T2, class M2, class M3> M1 & </td><td class="memItemRight" valign=bottom><a class="el" href="#ga5">boost::numeric::ublas::blas_3::sr2k</a> (M1 &m1, const T1 &t1, const T2 &t2, const M2 &m2, const M3 &m3)</td></tr> | |
| 41 | ||
| 42 | <tr><td class="mdescLeft"> </td><td class="mdescRight">generalized symmetric rank k update: <em>m1</em> = <em>t1</em> * <em>m1</em> + <em>t2</em> * (<em>m2</em> * <em>m3<sup>T</sup></em>) + <em>t2</em> * (<em>m3</em> * <em>m2<sup>T</sup></em>) <a href="#ga5"></a><br /><br /></td></tr> | |
| 43 | <tr><td class="memItemLeft" nowrap align=right valign=top>template<class M1, class T1, class T2, class M2, class M3> M1 & </td><td class="memItemRight" valign=bottom><a class="el" href="#ga6">boost::numeric::ublas::blas_3::hr2k</a> (M1 &m1, const T1 &t1, const T2 &t2, const M2 &m2, const M3 &m3)</td></tr> | |
| 44 | ||
| 45 | <tr><td class="mdescLeft"> </td><td class="mdescRight">generalized hermitian rank k update: <em>m1</em> = <em>t1</em> * <em>m1</em> + <em>t2</em> * (<em>m2</em> * <em>m3<sup>H</sup></em>) + (<em>m3</em> * (<em>t2</em> * <em>m2</em>)<sup>H</sup>) <a href="#ga6"></a><br /><br /></td></tr> | |
| 46 | <tr><td class="memItemLeft" nowrap align=right valign=top>template<class M, class E1, class E2> BOOST_UBLAS_INLINE M & </td><td class="memItemRight" valign=bottom><a class="el" href="products.html#ga7">boost::numeric::ublas::axpy_prod</a> (const matrix_expression< E1 > &e1, const matrix_expression< E2 > &e2, M &m, bool init=true)</td></tr> | |
| 47 | ||
| 48 | <tr><td class="mdescLeft"> </td><td class="mdescRight">computes <code>M += A X</code> or <code>M = A X</code> in an optimized fashion. <a href="products.html#ga7"></a><br /><br /></td></tr> | |
| 49 | <tr><td class="memItemLeft" nowrap align=right valign=top>template<class M, class E1, class E2> BOOST_UBLAS_INLINE M & </td><td class="memItemRight" valign=bottom><a class="el" href="products.html#ga8">boost::numeric::ublas::opb_prod</a> (const matrix_expression< E1 > &e1, const matrix_expression< E2 > &e2, M &m, bool init=true)</td></tr> | |
| 50 | ||
| 51 | <tr><td class="mdescLeft"> </td><td class="mdescRight">computes <code>M += A X</code> or <code>M = A X</code> in an optimized fashion. <a href="products.html#ga8"></a><br /><br /></td></tr> | |
| 52 | </table> | |
| 53 | ||
| 54 | <hr /> | |
| 55 | ||
| 56 | <h2>Function Documentation</h2> | |
| 57 | ||
| 58 | <a class="anchor" name="ga0" doxytag="boost::numeric::ublas::blas_3::tmm" ></a> | |
| 59 | <table summary="" class="mdTable" width="100%" cellpadding="2" cellspacing="0"> | |
| 60 | <tr> | |
| 61 | <td class="mdRow"> | |
| 62 | <table summary="" cellpadding="0" cellspacing="0" border="0"> | |
| 63 | <tr> | |
| 64 | <td class="md" nowrap valign="top"> M1& tmm </td> | |
| 65 | <td class="md" valign="top">( </td> | |
| 66 | <td class="md" nowrap valign="top">M1 & </td> | |
| 67 | <td class="mdname" nowrap> <em>m1</em>, </td> | |
| 68 | </tr> | |
| 69 | <tr> | |
| 70 | <td class="md" nowrap align="right"></td> | |
| 71 | <td></td> | |
| 72 | <td class="md" nowrap>const T & </td> | |
| 73 | <td class="mdname" nowrap> <em>t</em>, </td> | |
| 74 | </tr> | |
| 75 | <tr> | |
| 76 | <td class="md" nowrap align="right"></td> | |
| 77 | <td></td> | |
| 78 | <td class="md" nowrap>const M2 & </td> | |
| 79 | <td class="mdname" nowrap> <em>m2</em>, </td> | |
| 80 | </tr> | |
| 81 | <tr> | |
| 82 | <td class="md" nowrap align="right"></td> | |
| 83 | <td></td> | |
| 84 | <td class="md" nowrap>const M3 & </td> | |
| 85 | <td class="mdname" nowrap> <em>m3</em></td> | |
| 86 | </tr> | |
| 87 | <tr> | |
| 88 | <td></td> | |
| 89 | <td class="md">) </td> | |
| 90 | <td class="md" colspan="2"></td> | |
| 91 | </tr> | |
| 92 | </table> | |
| 93 | </td> | |
| 94 | </tr> | |
| 95 | </table> | |
| 96 | <table summary="" cellspacing=5 cellpadding=0 border=0> | |
| 97 | <tr> | |
| 98 | <td> | |
| 99 | | |
| 100 | </td> | |
| 101 | <td> | |
| 102 | <p>triangular matrix multiplication </p> | |
| 103 | </td> | |
| 104 | </tr> | |
| 105 | </table> | |
| 106 | <a class="anchor" name="ga1" doxytag="boost::numeric::ublas::blas_3::tsm" ></a> | |
| 107 | <table summary="" class="mdTable" width="100%" cellpadding="2" cellspacing="0"> | |
| 108 | <tr> | |
| 109 | <td class="mdRow"> | |
| 110 | <table summary="" cellpadding="0" cellspacing="0" border="0"> | |
| 111 | <tr> | |
| 112 | <td class="md" nowrap valign="top"> M1& tsm </td> | |
| 113 | <td class="md" valign="top">( </td> | |
| 114 | <td class="md" nowrap valign="top">M1 & </td> | |
| 115 | <td class="mdname" nowrap> <em>m1</em>, </td> | |
| 116 | </tr> | |
| 117 | <tr> | |
| 118 | <td class="md" nowrap align="right"></td> | |
| 119 | <td></td> | |
| 120 | <td class="md" nowrap>const T & </td> | |
| 121 | <td class="mdname" nowrap> <em>t</em>, </td> | |
| 122 | </tr> | |
| 123 | <tr> | |
| 124 | <td class="md" nowrap align="right"></td> | |
| 125 | <td></td> | |
| 126 | <td class="md" nowrap>const M2 & </td> | |
| 127 | <td class="mdname" nowrap> <em>m2</em>, </td> | |
| 128 | </tr> | |
| 129 | <tr> | |
| 130 | <td class="md" nowrap align="right"></td> | |
| 131 | <td></td> | |
| 132 | <td class="md" nowrap>C </td> | |
| 133 | <td class="mdname" nowrap></td> | |
| 134 | </tr> | |
| 135 | <tr> | |
| 136 | <td></td> | |
| 137 | <td class="md">) </td> | |
| 138 | <td class="md" colspan="2"></td> | |
| 139 | </tr> | |
| 140 | </table> | |
| 141 | </td> | |
| 142 | </tr> | |
| 143 | </table> | |
| 144 | <table summary="" cellspacing=5 cellpadding=0 border=0> | |
| 145 | <tr> | |
| 146 | <td> | |
| 147 | | |
| 148 | </td> | |
| 149 | <td> | |
| 150 | ||
| 151 | <p> | |
| 152 | triangular solve <em>m2</em> * <em>x</em> = <em>t</em> * <em>m1</em> in place, <em>m2</em> is a triangular matrix | |
| 153 | </p> | |
| 154 | </td> | |
| 155 | </tr> | |
| 156 | </table> | |
| 157 | <a class="anchor" name="ga2" doxytag="boost::numeric::ublas::blas_3::gmm" ></a> | |
| 158 | <table summary="" class="mdTable" width="100%" cellpadding="2" cellspacing="0"> | |
| 159 | <tr> | |
| 160 | <td class="mdRow"> | |
| 161 | <table summary="" cellpadding="0" cellspacing="0" border="0"> | |
| 162 | <tr> | |
| 163 | <td class="md" nowrap valign="top"> M1& gmm </td> | |
| 164 | <td class="md" valign="top">( </td> | |
| 165 | <td class="md" nowrap valign="top">M1 & </td> | |
| 166 | <td class="mdname" nowrap> <em>m1</em>, </td> | |
| 167 | </tr> | |
| 168 | <tr> | |
| 169 | <td class="md" nowrap align="right"></td> | |
| 170 | <td></td> | |
| 171 | <td class="md" nowrap>const T1 & </td> | |
| 172 | <td class="mdname" nowrap> <em>t1</em>, </td> | |
| 173 | </tr> | |
| 174 | <tr> | |
| 175 | <td class="md" nowrap align="right"></td> | |
| 176 | <td></td> | |
| 177 | <td class="md" nowrap>const T2 & </td> | |
| 178 | <td class="mdname" nowrap> <em>t2</em>, </td> | |
| 179 | </tr> | |
| 180 | <tr> | |
| 181 | <td class="md" nowrap align="right"></td> | |
| 182 | <td></td> | |
| 183 | <td class="md" nowrap>const M2 & </td> | |
| 184 | <td class="mdname" nowrap> <em>m2</em>, </td> | |
| 185 | </tr> | |
| 186 | <tr> | |
| 187 | <td class="md" nowrap align="right"></td> | |
| 188 | <td></td> | |
| 189 | <td class="md" nowrap>const M3 & </td> | |
| 190 | <td class="mdname" nowrap> <em>m3</em></td> | |
| 191 | </tr> | |
| 192 | <tr> | |
| 193 | <td></td> | |
| 194 | <td class="md">) </td> | |
| 195 | <td class="md" colspan="2"></td> | |
| 196 | </tr> | |
| 197 | </table> | |
| 198 | </td> | |
| 199 | </tr> | |
| 200 | </table> | |
| 201 | <table summary="" cellspacing=5 cellpadding=0 border=0> | |
| 202 | <tr> | |
| 203 | <td> | |
| 204 | | |
| 205 | </td> | |
| 206 | <td> | |
| 207 | ||
| 208 | <p> | |
| 209 | general matrix multiplication | |
| 210 | </p> | |
| 211 | </td> | |
| 212 | </tr> | |
| 213 | </table> | |
| 214 | <a class="anchor" name="ga3" doxytag="boost::numeric::ublas::blas_3::srk" ></a> | |
| 215 | <table summary="" class="mdTable" width="100%" cellpadding="2" cellspacing="0"> | |
| 216 | <tr> | |
| 217 | <td class="mdRow"> | |
| 218 | <table summary="" cellpadding="0" cellspacing="0" border="0"> | |
| 219 | <tr> | |
| 220 | <td class="md" nowrap valign="top"> M1& srk </td> | |
| 221 | <td class="md" valign="top">( </td> | |
| 222 | <td class="md" nowrap valign="top">M1 & </td> | |
| 223 | <td class="mdname" nowrap> <em>m1</em>, </td> | |
| 224 | </tr> | |
| 225 | <tr> | |
| 226 | <td class="md" nowrap align="right"></td> | |
| 227 | <td></td> | |
| 228 | <td class="md" nowrap>const T1 & </td> | |
| 229 | <td class="mdname" nowrap> <em>t1</em>, </td> | |
| 230 | </tr> | |
| 231 | <tr> | |
| 232 | <td class="md" nowrap align="right"></td> | |
| 233 | <td></td> | |
| 234 | <td class="md" nowrap>const T2 & </td> | |
| 235 | <td class="mdname" nowrap> <em>t2</em>, </td> | |
| 236 | </tr> | |
| 237 | <tr> | |
| 238 | <td class="md" nowrap align="right"></td> | |
| 239 | <td></td> | |
| 240 | <td class="md" nowrap>const M2 & </td> | |
| 241 | <td class="mdname" nowrap> <em>m2</em></td> | |
| 242 | </tr> | |
| 243 | <tr> | |
| 244 | <td></td> | |
| 245 | <td class="md">) </td> | |
| 246 | <td class="md" colspan="2"></td> | |
| 247 | </tr> | |
| 248 | </table> | |
| 249 | </td> | |
| 250 | </tr> | |
| 251 | </table> | |
| 252 | <table summary="" cellspacing=5 cellpadding=0 border=0> | |
| 253 | <tr> | |
| 254 | <td> | |
| 255 | | |
| 256 | </td> | |
| 257 | <td> | |
| 258 | ||
| 259 | <p> | |
| 260 | symmetric rank k update: <em>m1</em> = <em>t</em> * <em>m1</em> + <em>t2</em> * (<em>m2</em> * <em>m2<sup>T</sup></em>) | |
| 261 | </p> | |
| 262 | <dl compact><dt><b>Todo:</b></dt><dd>use opb_prod() </dd></dl> | |
| 263 | </td> | |
| 264 | </tr> | |
| 265 | </table> | |
| 266 | <a class="anchor" name="ga4" doxytag="boost::numeric::ublas::blas_3::hrk" ></a> | |
| 267 | <table summary="" class="mdTable" width="100%" cellpadding="2" cellspacing="0"> | |
| 268 | <tr> | |
| 269 | <td class="mdRow"> | |
| 270 | <table summary="" cellpadding="0" cellspacing="0" border="0"> | |
| 271 | <tr> | |
| 272 | <td class="md" nowrap valign="top"> M1& hrk </td> | |
| 273 | <td class="md" valign="top">( </td> | |
| 274 | <td class="md" nowrap valign="top">M1 & </td> | |
| 275 | <td class="mdname" nowrap> <em>m1</em>, </td> | |
| 276 | </tr> | |
| 277 | <tr> | |
| 278 | <td class="md" nowrap align="right"></td> | |
| 279 | <td></td> | |
| 280 | <td class="md" nowrap>const T1 & </td> | |
| 281 | <td class="mdname" nowrap> <em>t1</em>, </td> | |
| 282 | </tr> | |
| 283 | <tr> | |
| 284 | <td class="md" nowrap align="right"></td> | |
| 285 | <td></td> | |
| 286 | <td class="md" nowrap>const T2 & </td> | |
| 287 | <td class="mdname" nowrap> <em>t2</em>, </td> | |
| 288 | </tr> | |
| 289 | <tr> | |
| 290 | <td class="md" nowrap align="right"></td> | |
| 291 | <td></td> | |
| 292 | <td class="md" nowrap>const M2 & </td> | |
| 293 | <td class="mdname" nowrap> <em>m2</em></td> | |
| 294 | </tr> | |
| 295 | <tr> | |
| 296 | <td></td> | |
| 297 | <td class="md">) </td> | |
| 298 | <td class="md" colspan="2"></td> | |
| 299 | </tr> | |
| 300 | </table> | |
| 301 | </td> | |
| 302 | </tr> | |
| 303 | </table> | |
| 304 | <table summary="" cellspacing=5 cellpadding=0 border=0> | |
| 305 | <tr> | |
| 306 | <td> | |
| 307 | | |
| 308 | </td> | |
| 309 | <td> | |
| 310 | ||
| 311 | <p> | |
| 312 | hermitian rank k update: <em>m1</em> = <em>t</em> * <em>m1</em> + <em>t2</em> * (<em>m2</em> * <em>m2<sup>H</sup></em>) | |
| 313 | </p> | |
| 314 | <dl compact><dt><b>Todo:</b></dt><dd>use opb_prod()</dd></dl> | |
| 315 | </td> | |
| 316 | </tr> | |
| 317 | </table> | |
| 318 | <a class="anchor" name="ga5" doxytag="boost::numeric::ublas::blas_3::sr2k" ></a> | |
| 319 | <table summary="" class="mdTable" width="100%" cellpadding="2" cellspacing="0"> | |
| 320 | <tr> | |
| 321 | <td class="mdRow"> | |
| 322 | <table summary="" cellpadding="0" cellspacing="0" border="0"> | |
| 323 | <tr> | |
| 324 | <td class="md" nowrap valign="top"> M1& sr2k </td> | |
| 325 | <td class="md" valign="top">( </td> | |
| 326 | <td class="md" nowrap valign="top">M1 & </td> | |
| 327 | <td class="mdname" nowrap> <em>m1</em>, </td> | |
| 328 | </tr> | |
| 329 | <tr> | |
| 330 | <td class="md" nowrap align="right"></td> | |
| 331 | <td></td> | |
| 332 | <td class="md" nowrap>const T1 & </td> | |
| 333 | <td class="mdname" nowrap> <em>t1</em>, </td> | |
| 334 | </tr> | |
| 335 | <tr> | |
| 336 | <td class="md" nowrap align="right"></td> | |
| 337 | <td></td> | |
| 338 | <td class="md" nowrap>const T2 & </td> | |
| 339 | <td class="mdname" nowrap> <em>t2</em>, </td> | |
| 340 | </tr> | |
| 341 | <tr> | |
| 342 | <td class="md" nowrap align="right"></td> | |
| 343 | <td></td> | |
| 344 | <td class="md" nowrap>const M2 & </td> | |
| 345 | <td class="mdname" nowrap> <em>m2</em>, </td> | |
| 346 | </tr> | |
| 347 | <tr> | |
| 348 | <td class="md" nowrap align="right"></td> | |
| 349 | <td></td> | |
| 350 | <td class="md" nowrap>const M3 & </td> | |
| 351 | <td class="mdname" nowrap> <em>m3</em></td> | |
| 352 | </tr> | |
| 353 | <tr> | |
| 354 | <td></td> | |
| 355 | <td class="md">) </td> | |
| 356 | <td class="md" colspan="2"></td> | |
| 357 | </tr> | |
| 358 | </table> | |
| 359 | </td> | |
| 360 | </tr> | |
| 361 | </table> | |
| 362 | <table summary="" cellspacing=5 cellpadding=0 border=0> | |
| 363 | <tr> | |
| 364 | <td> | |
| 365 | | |
| 366 | </td> | |
| 367 | <td> | |
| 368 | ||
| 369 | <p> | |
| 370 | generalized symmetric rank k update: <em>m1</em> = <em>t1</em> * <em>m1</em> + <em>t2</em> * (<em>m2</em> * <em>m3<sup>T</sup></em>) + <em>t2</em> * (<em>m3</em> * <em>m2<sup>T</sup></em>) | |
| 371 | </p> | |
| 372 | <dl compact><dt><b>Todo:</b></dt><dd>use opb_prod()</dd></dl> | |
| 373 | </td> | |
| 374 | </tr> | |
| 375 | </table> | |
| 376 | <a class="anchor" name="ga6" doxytag="boost::numeric::ublas::blas_3::hr2k" ></a> | |
| 377 | <table summary="" class="mdTable" width="100%" cellpadding="2" cellspacing="0"> | |
| 378 | <tr> | |
| 379 | <td class="mdRow"> | |
| 380 | <table summary="" cellpadding="0" cellspacing="0" border="0"> | |
| 381 | <tr> | |
| 382 | <td class="md" nowrap valign="top"> M1& hr2k </td> | |
| 383 | <td class="md" valign="top">( </td> | |
| 384 | <td class="md" nowrap valign="top">M1 & </td> | |
| 385 | <td class="mdname" nowrap> <em>m1</em>, </td> | |
| 386 | </tr> | |
| 387 | <tr> | |
| 388 | <td class="md" nowrap align="right"></td> | |
| 389 | <td></td> | |
| 390 | <td class="md" nowrap>const T1 & </td> | |
| 391 | <td class="mdname" nowrap> <em>t1</em>, </td> | |
| 392 | </tr> | |
| 393 | <tr> | |
| 394 | <td class="md" nowrap align="right"></td> | |
| 395 | <td></td> | |
| 396 | <td class="md" nowrap>const T2 & </td> | |
| 397 | <td class="mdname" nowrap> <em>t2</em>, </td> | |
| 398 | </tr> | |
| 399 | <tr> | |
| 400 | <td class="md" nowrap align="right"></td> | |
| 401 | <td></td> | |
| 402 | <td class="md" nowrap>const M2 & </td> | |
| 403 | <td class="mdname" nowrap> <em>m2</em>, </td> | |
| 404 | </tr> | |
| 405 | <tr> | |
| 406 | <td class="md" nowrap align="right"></td> | |
| 407 | <td></td> | |
| 408 | <td class="md" nowrap>const M3 & </td> | |
| 409 | <td class="mdname" nowrap> <em>m3</em></td> | |
| 410 | </tr> | |
| 411 | <tr> | |
| 412 | <td></td> | |
| 413 | <td class="md">) </td> | |
| 414 | <td class="md" colspan="2"></td> | |
| 415 | </tr> | |
| 416 | </table> | |
| 417 | </td> | |
| 418 | </tr> | |
| 419 | </table> | |
| 420 | <table summary="" cellspacing=5 cellpadding=0 border=0> | |
| 421 | <tr> | |
| 422 | <td> | |
| 423 | | |
| 424 | </td> | |
| 425 | <td> | |
| 426 | ||
| 427 | <p> | |
| 428 | generalized hermitian rank k update: <em>m1</em> = <em>t1</em> * <em>m1</em> + <em>t2</em> * (<em>m2</em> * <em>m3<sup>H</sup></em>) + (<em>m3</em> * (<em>t2</em> * <em>m2</em>)<sup>H</sup>) | |
| 429 | </p> | |
| 430 | <dl compact><dt><b>Todo:</b></dt><dd>use opb_prod()</dd></dl> | |
| 431 | </td> | |
| 432 | </tr> | |
| 433 | </table> | |
| 434 | ||
| 435 | ||
| 436 | ||
| 437 | <hr /> | |
| 438 | <p>Copyright (©) 2000-2004 Michael Stevens, Mathias Koch, | |
| 439 | Joerg Walter, Gunter Winkler<br /> | |
| 440 | Use, modification and distribution are subject to the | |
| 441 | Boost Software License, Version 1.0. | |
| 442 | (See accompanying file LICENSE_1_0.txt | |
| 443 | or copy at <a href="http://www.boost.org/LICENSE_1_0.txt"> | |
| 444 | http://www.boost.org/LICENSE_1_0.txt</a>). | |
| 445 | </p> | |
| 446 | <script type="text/javascript"> | |
| 447 | (function($) { | |
| 448 | $('#toc').toc(); | |
| 449 | })(jQuery); | |
| 450 | </script> | |
| 451 | </body> | |
| 452 | </html> |