This is octave.info, produced by makeinfo version 6.5 from octave.texi.

INFO-DIR-SECTION Math
START-INFO-DIR-ENTRY
* Octave: (octave).             Interactive language for numerical computations.
END-INFO-DIR-ENTRY

Copyright © 1996-2018 John W. Eaton.

   Permission is granted to make and distribute verbatim copies of this
manual provided the copyright notice and this permission notice are
preserved on all copies.

   Permission is granted to copy and distribute modified versions of
this manual under the conditions for verbatim copying, provided that the
entire resulting derived work is distributed under the terms of a
permission notice identical to this one.

   Permission is granted to copy and distribute translations of this
manual into another language, under the above conditions for modified
versions.


Indirect:
octave.info-1: 822
octave.info-2: 301954
octave.info-3: 601094
octave.info-4: 905566
octave.info-5: 1214101
octave.info-6: 1522872
octave.info-7: 1802943
octave.info-8: 2111875
octave.info-9: 2403701
octave.info-10: 2981523

Tag Table:
(Indirect)
Node: Top822
Node: Preface16563
Node: Acknowledgements18896
Node: Citing Octave in Publications30947
Ref: XREFcitation31535
Node: How You Can Contribute to Octave32217
Node: Distribution33761
Node: Introduction34478
Node: Running Octave35868
Node: Simple Examples36977
Node: Conventions45169
Node: Fonts45539
Node: Evaluation Notation46088
Node: Printing Notation47104
Node: Error Messages47645
Node: Format of Descriptions48040
Node: A Sample Function Description48601
Node: A Sample Command Description50245
Node: Getting Started51554
Node: Invoking Octave from the Command Line52086
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Ref: XREFatexit64757
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Ref: XREFdoc67400
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Node: The if Statement397612
Node: The switch Statement401371
Node: Notes for the C Programmer404256
Node: The while Statement405387
Node: The do-until Statement407658
Node: The for Statement409098
Node: Looping Over Structure Elements412319
Node: The break Statement413393
Node: The continue Statement414959
Node: The unwind_protect Statement416284
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Node: Introduction to Function and Script Files421248
Node: Defining Functions422167
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Ref: XREFuicontextmenuhittest1061454
Ref: XREFuicontextmenuinterruptible1061969
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Ref: XREFuicontextmenutype1063295
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Ref: XREFuicontextmenuuserdata1063581
Ref: XREFuicontextmenuvisible1063696
Node: Uipanel Properties1063804
Ref: XREFuipanelbackgroundcolor1064041
Ref: XREFuipanelbeingdeleted1064102
Ref: XREFuipanelbordertype1064138
Ref: XREFuipanelborderwidth1064231
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Ref: XREFuipanelbuttondownfcn1064815
Ref: XREFuipanelchildren1064992
Ref: XREFuipanelclipping1065119
Ref: XREFuipanelcreatefcn1065238
Ref: XREFuipaneldeletefcn1065643
Ref: XREFuipanelfontangle1065888
Ref: XREFuipanelfontname1065991
Ref: XREFuipanelfontsize1066291
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Ref: XREFuipanelforegroundcolor1066692
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Ref: XREFuipanelhighlightcolor1066911
Ref: XREFuipanelhittest1066953
Ref: XREFuipanelinterruptible1067456
Ref: XREFuipanelparent1067828
Ref: XREFuipanelpickableparts1067902
Ref: XREFuipanelposition1068571
Ref: XREFuipanelresizefcn1068609
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Ref: XREFuipanelsizechangedfcn1068874
Ref: XREFuipaneltag1069111
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Ref: XREFuipaneltype1069327
Ref: XREFuipaneluicontextmenu1069431
Ref: XREFuipanelunits1069596
Ref: XREFuipaneluserdata1069689
Ref: XREFuipanelvisible1069804
Node: Uicontrol Properties1069906
Ref: XREFuicontrolbackgroundcolor1070143
Ref: XREFuicontrolbeingdeleted1070204
Ref: XREFuicontrolbusyaction1070240
Ref: XREFuicontrolbuttondownfcn1070791
Ref: XREFuicontrolcallback1070968
Ref: XREFuicontrolcdata1071004
Ref: XREFuicontrolchildren1071037
Ref: XREFuicontrolclipping1071166
Ref: XREFuicontrolcreatefcn1071287
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Ref: XREFuicontrolextent1071988
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Ref: XREFuicontrolhorizontalalignment1073569
Ref: XREFuicontrolinterruptible1073627
Ref: XREFuicontrolkeypressfcn1073999
Ref: XREFuicontrollistboxtop1074038
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Ref: XREFuicontrolmin1074095
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Ref: XREFuicontrolselected1074909
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Ref: XREFuicontroltag1075196
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Ref: XREFuicontrolunits1075584
Ref: XREFuicontroluserdata1075677
Ref: XREFuicontrolvalue1075792
Ref: XREFuicontrolverticalalignment1075819
Ref: XREFuicontrolvisible1075875
Node: Uitable Properties1075979
Ref: XREFuitablebackgroundcolor1076212
Ref: XREFuitablebeingdeleted1076255
Ref: XREFuitablebusyaction1076291
Ref: XREFuitablebuttondownfcn1076842
Ref: XREFuitablecelleditcallback1077019
Ref: XREFuitablecellselectioncallback1077063
Ref: XREFuitablechildren1077112
Ref: XREFuitableclipping1077239
Ref: XREFuitablecolumneditable1077358
Ref: XREFuitablecolumnformat1077400
Ref: XREFuitablecolumnname1077440
Ref: XREFuitablecolumnwidth1077475
Ref: XREFuitablecreatefcn1077507
Ref: XREFuitabledata1077912
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Ref: XREFuitableenable1078189
Ref: XREFuitableextent1078219
Ref: XREFuitablefontangle1078266
Ref: XREFuitablefontname1078369
Ref: XREFuitablefontsize1078669
Ref: XREFuitablefontunits1078809
Ref: XREFuitablefontweight1078945
Ref: XREFuitableforegroundcolor1079070
Ref: XREFuitablehandlevisibility1079113
Ref: XREFuitablehittest1079289
Ref: XREFuitableinterruptible1079792
Ref: XREFuitablekeypressfcn1080164
Ref: XREFuitablekeyreleasefcn1080203
Ref: XREFuitableparent1080244
Ref: XREFuitablepickableparts1080318
Ref: XREFuitableposition1080987
Ref: XREFuitablerearrangeablecolumns1081031
Ref: XREFuitablerowname1081075
Ref: XREFuitablerowstriping1081107
Ref: XREFuitableselected1081142
Ref: XREFuitableselectionhighlight1081174
Ref: XREFuitabletag1081216
Ref: XREFuitabletooltipstring1081301
Ref: XREFuitabletype1081331
Ref: XREFuitableuicontextmenu1081435
Ref: XREFuitableunits1081600
Ref: XREFuitableuserdata1081693
Ref: XREFuitablevisible1081808
Node: Uitoolbar Properties1081910
Ref: XREFuitoolbarbeingdeleted1082150
Ref: XREFuitoolbarbusyaction1082186
Ref: XREFuitoolbarbuttondownfcn1082737
Ref: XREFuitoolbarchildren1082840
Ref: XREFuitoolbarclipping1082969
Ref: XREFuitoolbarcreatefcn1083090
Ref: XREFuitoolbardeletefcn1083501
Ref: XREFuitoolbarhandlevisibility1083748
Ref: XREFuitoolbarhittest1083926
Ref: XREFuitoolbarinterruptible1084433
Ref: XREFuitoolbarparent1084805
Ref: XREFuitoolbarpickableparts1084879
Ref: XREFuitoolbarselected1085554
Ref: XREFuitoolbarselectionhighlight1085586
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Ref: XREFuitoolbartype1085713
Ref: XREFuitoolbaruicontextmenu1085819
Ref: XREFuitoolbaruserdata1085986
Ref: XREFuitoolbarvisible1086101
Node: Uipushtool Properties1086205
Ref: XREFuipushtoolbeingdeleted1086453
Ref: XREFuipushtoolbusyaction1086489
Ref: XREFuipushtoolbuttondownfcn1087040
Ref: XREFuipushtoolcdata1087143
Ref: XREFuipushtoolchildren1087176
Ref: XREFuipushtoolclickedcallback1087306
Ref: XREFuipushtoolclipping1087349
Ref: XREFuipushtoolcreatefcn1087471
Ref: XREFuipushtooldeletefcn1087885
Ref: XREFuipushtoolenable1088138
Ref: XREFuipushtoolhandlevisibility1088168
Ref: XREFuipushtoolhittest1088347
Ref: XREFuipushtoolinterruptible1088856
Ref: XREFuipushtoolparent1089228
Ref: XREFuipushtoolpickableparts1089302
Ref: XREFuipushtoolselected1089980
Ref: XREFuipushtoolselectionhighlight1090012
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Ref: XREFuipushtooltag1090087
Ref: XREFuipushtooltooltipstring1090172
Ref: XREFuipushtooltype1090202
Ref: XREFuipushtooluicontextmenu1090309
Ref: XREFuipushtooluserdata1090477
Ref: XREFuipushtoolvisible1090592
Node: Uitoggletool Properties1090697
Ref: XREFuitoggletoolbeingdeleted1090922
Ref: XREFuitoggletoolbusyaction1090958
Ref: XREFuitoggletoolbuttondownfcn1091509
Ref: XREFuitoggletoolcdata1091612
Ref: XREFuitoggletoolchildren1091645
Ref: XREFuitoggletoolclickedcallback1091777
Ref: XREFuitoggletoolclipping1091820
Ref: XREFuitoggletoolcreatefcn1091944
Ref: XREFuitoggletooldeletefcn1092364
Ref: XREFuitoggletoolenable1092619
Ref: XREFuitoggletoolhandlevisibility1092649
Ref: XREFuitoggletoolhittest1092830
Ref: XREFuitoggletoolinterruptible1093343
Ref: XREFuitoggletooloffcallback1093715
Ref: XREFuitoggletooloncallback1093754
Ref: XREFuitoggletoolparent1093792
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Ref: XREFuitoggletoolselected1094550
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Ref: XREFuitoggletooltype1094801
Ref: XREFuitoggletooluicontextmenu1094910
Ref: XREFuitoggletooluserdata1095080
Ref: XREFuitoggletoolvisible1095195
Node: Searching Properties1095302
Ref: XREFfindobj1095511
Ref: XREFfindall1098068
Node: Managing Default Properties1098901
Ref: XREFreset1101884
Node: Advanced Plotting1102741
Node: Colors1103042
Node: Line Styles1103349
Node: Marker Styles1103974
Ref: XREFcolstyle1104910
Node: Callbacks1105148
Ref: XREFgcbo1108933
Ref: XREFgcbf1109598
Node: Application-defined Data1110150
Ref: XREFsetappdata1110526
Ref: XREFgetappdata1111315
Ref: XREFrmappdata1111930
Ref: XREFisappdata1112342
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Ref: XREFhggroup1113257
Ref: XREFaddproperty1114721
Ref: XREFaddlistener1117756
Ref: XREFdellistener1119003
Ref: XREFlinkprop1120668
Ref: XREFlinkaxes1122001
Node: Data Sources in Object Groups1124699
Ref: XREFdatasources1124877
Ref: XREFrefreshdata1125106
Ref: XREFlinkdata1126054
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Node: Bar Series1126979
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Ref: XREFavailable_graphics_toolkits1141293
Ref: XREFloaded_graphics_toolkits1141520
Ref: XREFregister_graphics_toolkit1141712
Node: Customizing Toolkit Behavior1141975
Ref: XREFgnuplot_binary1142333
Node: Hardware vs. Software Rendering1142860
Node: Matrix Manipulation1143730
Node: Finding Elements and Checking Conditions1144400
Ref: XREFany1144865
Ref: XREFall1145449
Ref: XREFxor1146458
Ref: XREFdiff1147309
Ref: XREFisinf1148299
Ref: XREFisnan1148619
Ref: XREFisfinite1148984
Ref: XREFcommon_size1149308
Ref: XREFfind1150061
Ref: XREFlookup1151744
Node: Rearranging Matrices1153698
Ref: XREFfliplr1153909
Ref: XREFflipud1154315
Ref: XREFflip1154716
Ref: XREFrot901155580
Ref: XREFrotdim1156569
Ref: XREFcat1157675
Ref: XREFhorzcat1158496
Ref: XREFvertcat1158876
Ref: XREFpermute1159252
Ref: XREFipermute1159966
Ref: XREFreshape1160188
Ref: XREFresize1161238
Ref: XREFcircshift1162491
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Ref: XREFsortrows1167270
Ref: XREFissorted1168024
Ref: XREFnth_element1168607
Ref: XREFtril1169569
Ref: XREFtriu1170922
Ref: XREFvec1172273
Ref: XREFvech1172722
Ref: XREFprepad1173089
Ref: XREFpostpad1173740
Ref: XREFdiag1174384
Ref: XREFblkdiag1175230
Node: Special Utility Matrices1175600
Ref: XREFeye1175794
Ref: XREFones1176949
Ref: XREFzeros1177687
Ref: XREFrepmat1178290
Ref: XREFrepelems1178864
Ref: XREFrepelem1179613
Ref: XREFlinspace1183618
Ref: XREFlogspace1184540
Ref: XREFrand1185087
Ref: XREFrandi1188330
Ref: XREFrandn1189575
Ref: XREFrande1190619
Ref: XREFrandp1191640
Ref: XREFrandg1193448
Ref: XREFrandperm1197090
Ref: Special Utility Matrices-Footnote-11197587
Node: Famous Matrices1197692
Ref: XREFgallery1197892
Ref: XREFhadamard1207262
Ref: XREFhankel1208032
Ref: XREFhilb1208643
Ref: XREFinvhilb1209222
Ref: XREFmagic1210240
Ref: XREFpascal1210645
Ref: XREFrosser1211337
Ref: XREFtoeplitz1211534
Ref: XREFvander1212390
Ref: XREFwilkinson1212948
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Node: Exponents and Logarithms1214838
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Ref: XREFexpm11215163
Ref: XREFlog1215287
Ref: XREFreallog1215583
Ref: XREFlog1p1215871
Ref: XREFlog101216044
Ref: XREFlog21216231
Ref: XREFpow21216616
Ref: XREFnextpow21216869
Ref: XREFrealpow1217141
Ref: XREFsqrt1217453
Ref: XREFrealsqrt1217717
Ref: XREFcbrt1218001
Ref: XREFnthroot1218189
Node: Complex Arithmetic1218644
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Ref: XREFarg1219144
Ref: XREFconj1219392
Ref: XREFcplxpair1219575
Ref: XREFimag1220690
Ref: XREFreal1220820
Node: Trigonometry1220928
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Ref: XREFsin1223531
Ref: XREFcos1223689
Ref: XREFtan1223849
Ref: XREFsec1224010
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Ref: XREFatan1224777
Ref: XREFasec1224920
Ref: XREFacsc1225062
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Ref: XREFsinh1225351
Ref: XREFcosh1225512
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Ref: XREFsech1225835
Ref: XREFcsch1225948
Ref: XREFcoth1226063
Ref: XREFasinh1226179
Ref: XREFacosh1226298
Ref: XREFatanh1226419
Ref: XREFasech1226541
Ref: XREFacsch1226661
Ref: XREFacoth1226783
Ref: XREFatan21226906
Ref: XREFsind1227639
Ref: XREFcosd1227836
Ref: XREFtand1228040
Ref: XREFsecd1228309
Ref: XREFcscd1228443
Ref: XREFcotd1228579
Ref: XREFasind1228716
Ref: XREFacosd1228857
Ref: XREFatand1229000
Ref: XREFatan2d1229144
Ref: XREFasecd1229310
Ref: XREFacscd1229453
Ref: XREFacotd1229598
Node: Sums and Products1229744
Ref: XREFsum1229902
Ref: XREFprod1231145
Ref: XREFcumsum1231942
Ref: XREFcumprod1232454
Ref: XREFsumsq1232821
Node: Utility Functions1233220
Ref: XREFceil1233383
Ref: XREFfix1233733
Ref: XREFfloor1234087
Ref: XREFround1234442
Ref: XREFroundb1234829
Ref: XREFmax1235093
Ref: XREFmin1236686
Ref: XREFcummax1238284
Ref: XREFcummin1238875
Ref: XREFhypot1239464
Ref: XREFgradient1239961
Ref: XREFdot1241787
Ref: XREFcross1242330
Ref: XREFdivergence1242878
Ref: XREFcurl1243558
Ref: XREFdel21244588
Ref: XREFfactorial1245944
Ref: XREFfactor1246548
Ref: XREFgcd1247217
Ref: XREFlcm1248102
Ref: XREFrem1248393
Ref: XREFmod1249605
Ref: XREFprimes1250845
Ref: XREFlist_primes1251486
Ref: XREFsign1251689
Ref: XREFsignbit1252191
Node: Special Functions1252752
Ref: XREFairy1252921
Ref: XREFbesselj1254048
Ref: XREFbessely1255419
Ref: XREFbesseli1256792
Ref: XREFbesselk1258173
Ref: XREFbesselh1259542
Ref: XREFbeta1261154
Ref: XREFbetainc1261704
Ref: XREFbetaincinv1262962
Ref: XREFbetaln1264164
Ref: XREFbincoeff1264713
Ref: XREFcommutation_matrix1265266
Ref: XREFcosint1265640
Ref: XREFduplication_matrix1266390
Ref: XREFdawson1266710
Ref: XREFellipj1267046
Ref: XREFellipke1268246
Ref: XREFerf1269425
Ref: XREFerfc1269874
Ref: XREFerfcx1270181
Ref: XREFerfi1270514
Ref: XREFerfinv1270820
Ref: XREFerfcinv1271125
Ref: XREFexpint1271458
Ref: XREFgamma1272545
Ref: XREFgammainc1273217
Ref: XREFgammaincinv1274984
Ref: XREFlegendre1276492
Ref: XREFgammaln1278870
Ref: XREFlgamma1278870
Ref: XREFpsi1279038
Ref: XREFsinint1279746
Node: Rational Approximations1280125
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Node: Coordinate Transformations1281892
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Ref: XREFpol2cart1282920
Ref: XREFcart2sph1283734
Ref: XREFsph2cart1284511
Node: Mathematical Constants1285283
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Ref: XREFI1287115
Ref: XREFInf1288059
Ref: XREFNaN1289089
Ref: XREFeps1290329
Ref: XREFrealmax1291483
Ref: XREFrealmin1292587
Node: Linear Algebra1293673
Node: Techniques Used for Linear Algebra1294733
Node: Basic Matrix Functions1296691
Ref: XREFbalance1296894
Ref: XREFbandwidth1298403
Ref: XREFcond1298940
Ref: XREFcondeig1300002
Ref: XREFdet1300982
Ref: XREFeig1301537
Ref: XREFgivens1303180
Ref: XREFgsvd1303926
Ref: XREFplanerot1304902
Ref: XREFinv1305408
Ref: XREFlinsolve1306205
Ref: XREFmatrix_type1307946
Ref: XREFnorm1311230
Ref: XREFnull1312724
Ref: XREForth1313071
Ref: XREFmgorth1313416
Ref: XREFpinv1313732
Ref: XREFrank1314052
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Ref: XREFtrace1315981
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Ref: XREFvecnorm1316513
Node: Matrix Factorizations1316978
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Ref: XREFchol2inv1319679
Ref: XREFcholupdate1320076
Ref: XREFcholinsert1320808
Ref: XREFcholdelete1321663
Ref: XREFcholshift1322167
Ref: XREFhess1322792
Ref: XREFlu1323518
Ref: XREFluupdate1326275
Ref: XREFqr1327543
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Ref: XREFordschur1340993
Ref: XREFordeig1341886
Ref: XREFsubspace1342482
Ref: XREFsvd1342627
Ref: XREFsvd_driver1344688
Ref: XREFhoush1346396
Ref: XREFkrylov1346988
Node: Functions of a Matrix1348317
Ref: XREFexpm1348502
Ref: XREFlogm1349484
Ref: XREFsqrtm1349998
Ref: XREFkron1350363
Ref: XREFblkmm1350897
Ref: XREFsylvester1351310
Node: Specialized Solvers1351653
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Ref: XREFbicgstab1358056
Ref: XREFcgs1363323
Ref: XREFgmres1368203
Ref: XREFqmr1374870
Ref: XREFtfqmr1377192
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Ref: XREFvectorize1386007
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Ref: XREFbsxfun1390884
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Ref: XREFspfun1398290
Ref: XREFcellfun1398641
Ref: XREFstructfun1402784
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Node: JIT Compiler1411539
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Ref: XREFjit_startcnt1413690
Ref: XREFjit_failcnt1414470
Ref: XREFdebug_jit1415046
Node: Miscellaneous Techniques1415591
Node: Examples1420364
Node: Nonlinear Equations1421219
Node: Solvers1421452
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Ref: XREFfzero1429299
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Ref: XREFfminunc1435148
Ref: XREFfminsearch1438709
Ref: XREFhumps1442310
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Node: Basic Usage1443957
Ref: XREFdisable_diagonal_matrix1445226
Ref: XREFdisable_permutation_matrix1445973
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Node: Creating Permutation Matrices1448171
Node: Explicit and Implicit Conversions1449949
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Node: Expressions Involving Diagonal Matrices1451846
Node: Expressions Involving Permutation Matrices1455173
Node: Function Support1457351
Node: Diagonal Matrix Functions1457986
Node: Permutation Matrix Functions1458721
Node: Example Code1459517
Node: Zeros Treatment1460907
Node: Sparse Matrices1464071
Node: Basics1464497
Node: Storage of Sparse Matrices1465786
Ref: Storage of Sparse Matrices-Footnote-11470030
Ref: Storage of Sparse Matrices-Footnote-21470175
Node: Creating Sparse Matrices1470241
Ref: XREFspdiags1472228
Ref: XREFspeye1473345
Ref: XREFspones1473881
Ref: XREFsprand1474199
Ref: XREFsprandn1475001
Ref: XREFsprandsym1475818
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Node: Information1482887
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Ref: XREFnnz1484079
Ref: XREFnonzeros1484244
Ref: XREFnzmax1484393
Ref: XREFspstats1484817
Ref: fig:spmatrix1486912
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Node: Operators and Functions1491770
Node: Sparse Functions1492076
Node: Return Types of Operators and Functions1494076
Ref: XREFsparse_auto_mutate1496580
Node: Mathematical Considerations1497455
Ref: fig:simplematrix1500706
Ref: fig:simplechol1502649
Ref: fig:simplecholperm1503538
Ref: XREFamd1504861
Ref: XREFccolamd1506140
Ref: XREFcolamd1510125
Ref: XREFcolperm1513729
Ref: XREFcsymamd1514041
Ref: XREFdmperm1516820
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Node: Sparse Linear Algebra1522872
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Ref: XREFnormest11527800
Ref: XREFcondest1530446
Ref: XREFspparms1532801
Ref: XREFsprank1535264
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Ref: XREFeigs1539155
Ref: XREFsvds1544996
Ref: Sparse Linear Algebra-Footnote-11547355
Node: Iterative Techniques1547506
Ref: XREFpcg1548042
Ref: XREFpcr1555683
Ref: XREFichol1560462
Ref: XREFilu1564713
Node: Real Life Example1569315
Node: Numerical Integration1574817
Node: Functions of One Variable1575270
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Ref: XREFquadv1581992
Ref: XREFquadl1584030
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Ref: XREFintegral1594225
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Ref: XREFcumtrapz1600466
Node: Orthogonal Collocation1601491
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Node: Functions of Multiple Variables1602689
Ref: XREFdblquad1604209
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Ref: XREFintegral21611960
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Node: Differential Equations1620628
Node: Ordinary Differential Equations1621059
Ref: XREFlsode1621404
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