What Is Optimization Toolbox?
What Is Optimization Toolbox? What Is Optimization Toolbox?
fzerooutput-4 Complex function value wasencountered during search foran interval containing a signchange.-5 Algorithm might haveconverged to a singularpoint.Structure containing information about theoptimization. The fields of the structure arealgorithmfuncCountintervaliterationsiterationsmessageAlgorithm usedNumber of functionevaluationsNumber of iterations taken tofind an intervalNumber of zero-findingiterationsExit messageExamples Calculate by finding the zero of the sine function near 3.x = fzero(@sin,3)x =3.1416Tofindthezeroofcosinebetween1 and 2, enterx = fzero(@cos,[1 2])x =1.5708Note that cos(1) and cos(2) differ in sign.To find a zero of the function8-126
fzerowrite an M-file called f.m.function y = f(x)y = x.^3-2*x-5;Tofindthezeronear2, enterz = fzero(@f,2)z =2.0946Since this function is a polynomial, the statement roots([1 0 -2 -5])finds the same real zero, and a complex conjugate pair of zeros.2.0946-1.0473 + 1.1359i-1.0473 - 1.1359iIf fun is parameterized, you can use anonymous functions to capture theproblem-dependent parameters. For example, suppose you want to findazeroofthefunctionmyfun defined by the following M-file function.function f = myfun(x,a)f = cos(a*x);Note that myfun has an extra parameter a, soyoucannotpassitdirectlyto fzero. To optimize for a specific value of a, suchasa = 2.1 Assign the value to a.a = 2; % define parameter first2 Call fzero with a one-argument anonymous function that capturesthat value of a and calls myfun with two arguments:x = fzero(@(x) myfun(x,a),0.1)8-127
- Page 359 and 360: fminuncPurposeEquationFind minimum
- Page 361 and 362: fminuncfunThefunctiontobeminimized.
- Page 363 and 364: fminuncexitflaggradhessianoutputInt
- Page 365 and 366: fminuncLarge-Scale and Medium-Scale
- Page 367 and 368: fminuncHessianHessMultIf 'on', fmin
- Page 369 and 370: fminuncPrecondBandWidthTolPCGUpper
- Page 371 and 372: fminuncx0 = [1,1];[x,fval] = fminun
- Page 373 and 374: fminunc“Trust-Region Methods for
- Page 375 and 376: fseminfPurposeEquationFind minimum
- Page 377 and 378: fseminf“Avoiding Global Variables
- Page 379 and 380: fseminfoptions“Options” on page
- Page 381 and 382: fseminflambdaoutput5 Magnitude of d
- Page 383 and 384: fseminfOutputFcnPlotFcnsRelLineSrch
- Page 385 and 386: fseminfSecond, write an M-file, myc
- Page 387 and 388: fseminfThe plot command inside 'myc
- Page 389 and 390: fseminfThe goal was to minimize the
- Page 391 and 392: fsolvePurposeEquationSolve system o
- Page 393 and 394: fsolvefunThe nonlinear system of eq
- Page 395 and 396: fsolvefuncCountalgorithmcgiteration
- Page 397 and 398: fsolvePlotFcnsTolFunPlots various m
- Page 399 and 400: fsolveJacobPatternMaxPCGIterPrecond
- Page 401 and 402: fsolve[x,fval] = fsolve(@myfun,x0,o
- Page 403 and 404: fsolveYoucanformulateandsolvethepro
- Page 405 and 406: fsolveLimitationsThe function to be
- Page 407 and 408: fzeroPurposeSyntaxDescriptionFind r
- Page 409: fzeroDisplayFunValCheckOutputFcnLev
- Page 413 and 414: fzmultPurposeSyntaxMultiplication w
- Page 415 and 416: linprogPurposeEquationSolve linear
- Page 417 and 418: linproglambdaoutput-2 No feasible p
- Page 419 and 420: linprogsubject toFirst, enter the c
- Page 421 and 422: linprogDiagnosticsLarge-Scale Optim
- Page 423 and 424: linprogthe primal objective < -1e+1
- Page 425 and 426: lsqcurvefitPurposeEquationSolve non
- Page 427 and 428: lsqcurvefitfunThe function you want
- Page 429 and 430: lsqcurvefitoutputupperUpper bounds
- Page 431 and 432: lsqcurvefitJacobianMaxFunEvalsMaxIt
- Page 433 and 434: lsqcurvefitJacobPatternMaxPCGIterSp
- Page 435 and 436: lsqcurvefitNote that at the time th
- Page 437 and 438: lsqcurvefitof J with many nonzeros,
- Page 439 and 440: lsqlinPurposeEquationSolve constrai
- Page 441 and 442: lsqlinlambdaoutput3 Change in the r
- Page 443 and 444: lsqlinDiagnosticsDisplayMaxIterTypi
- Page 445 and 446: lsqlinPrecondBandWidthUpper bandwid
- Page 447 and 448: lsqlinNotesFor problems with no con
- Page 449 and 450: lsqlinReferences[1] Coleman, T.F. a
- Page 451 and 452: lsqnonlinreturn a vector of values
- Page 453 and 454: lsqnonlinOutputArguments“Function
- Page 455 and 456: lsqnonlinalgorithm. See “Optimiza
- Page 457 and 458: lsqnonlinJacobMultFunction handle f
- Page 459 and 460: lsqnonlinfor(that is, F should have
fzerooutput-4 Complex function value wasencountered during search foran interval containing a signchange.-5 Algorithm might haveconverged to a singularpoint.Structure containing information about theoptimization. The fields of the structure arealgorithmfuncCountintervaliterationsiterationsmessageAlgorithm usedNumber of functionevaluationsNumber of iterations taken tofind an intervalNumber of zero-findingiterationsExit messageExamples Calculate by finding the zero of the sine function near 3.x = fzero(@sin,3)x =3.1416Tofindthezeroofcosinebetween1 and 2, enterx = fzero(@cos,[1 2])x =1.5708Note that cos(1) and cos(2) differ in sign.To find a zero of the function8-126
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