v2010.10.26 - Convex Optimization

846 INDEXinequality, 606, 607Kronecker, 594maximization, 527minimization, 310–312, 384, 419, 570,572, 573, 613, 655of product, 51, 603, 606product, 594, 606projection matrix, 708zero, 628trajectory, 467, 521sensor, 423transformationaffine, 47, 49, 79, 183, 255, 272positive semidefinite cone, 117, 118bijective, see bijectiveFourier, discrete, 54, 375injective, see injectiveinvertible, 49, 53, 55linear, 37, 49, 79, 142, 700cone, 102, 106, 144, 148, 170, 183,185cone, dual, 164, 169, 540inverse, 49, 499, 700polyhedron, 144, 148, 170rigid, 23, 420similarity, 727surjective, see surjectivetransitivityface, 95order, 103, 116, 606trefoil, 525, 526, 528triangle, 398inequality, 397, 398, 431, 451–458, 464,487–492, 501, 502norm, 225strict, 454unique, 487vector, 225triangulation, 23trilateration, 23, 45, 418tandem, 424Tucker, 171, 206, 557− U − , 65unbounded below, 83, 88, 89, 172underdetermined, 387, 770unfolding, 525, 529unfurling, 525unimodal, 269, 270unraveling, 525, 526, 528untieing, 526, 528− V − , 404valueabsolute, 225, 262minimumunique, 222objective, 288, 304unique, 275variabledual, 160, 206, 208, 216, 775matrix, 77nonnegative, see constraintslack, 275, 284, 307variationcalculus, 173total, 379vec, 51, 376, 592, 593, 785vector, 36, 781binary, 62, 297, 362, 459direction, 308–313, 334–337interpretation, 335, 336, 572dual, 761normal, 76, 734, 765optimization, 104, 105, 222–224, 332,380orthogonal complement, 779parallel, 713Perron, 469primal, 761productinner, 50, 271, 276, 372, 431, 601,723, 774Kronecker, 676quadrature, 436reflection, 648rotation, 132, 436, 647space, 36, 396, 778standard basis, 58, 151, 406, 783vectorization, 51