v2010.10.26 - Convex Optimization

834 INDEXsquared, 267standard basis, 58, 60, 770Stiefel, see matrix, orthonormalstochastic, 69, 356sumeigenvalues, 608nullspace, 90rank, see ranksymmetric, 56, 619inverse, 620pseudoinverse, 624, 701real numbers, 263subspace of, 56symmetrized, 597trace, see traceunitary, 647symmetric, 375, 378zero definite, 630max cut problem, 365maximization, 241maximum variance unfolding, 522, 529McCormick, 276membership, 64, 103, 105, 116, 785boundary, 185interior, 185relation, 168affine, 224boundary, 169, 178, 287discretized, 175, 176, 180, 541EDM, 541interior, 169, 286normal cone, 203orthant, 64, 177subspace, 195metric, 54, 263, 396postulate, 397property, 397, 451fifth, 397, 400, 401, 486, 489, 495space, 397minimalcardinality, see minimizationelement, 104, 105, 222, 223set, see setminimization, 173, 203, 318, 681affine function, 239cardinality, 227, 228, 333, 340, 351–353,380Boolean, 292nonnegative, 229, 230, 233, 333, 337,339, 346–350rank connection, 310rank one, 369rank, full, 298fractional, inverted, see functionnorm1-, 226, see problem2-, 226, 410, 411∞-, 226Frobenius, 226, 248, 249, 251, 252,553, 730nuclear, 384, 572, 655on hypercube, 83rank, 308, 355, 387, 390, 575, 583cardinality connection, 310cardinality constrained, 369fat, 384indefinite, 384trace, 310–312, 384, 419, 570, 572, 573,613, 655minimizer, 221, 222minimumelement, 104, 222unique, 105, 223globalunique, 219, 681valueunique, 222Minkowski, 148MIT, 386molecular conformation, 24, 428monotonic, 247, 254, 313, 754, 758Fejér, 754function, 219, 231–233, 254, 271, 337gradient, 255Moore-Penroseconditions, 699inverse, see matrix, pseudoinverseMoreau, 206, 740Motzkin, 137, 173, 734MRI, 371, 373, 378