v2009.01.01 - Convex Optimization

764 INDEX
on function domain, 214
on geometric center subspace, 482, 671
on halfspace, 661
on hollow symmetric matrices, 683
on hyperbox, 683
on hypercube, 683
on hyperplane, see projection on affine
on hypersphere, 683
on intersection, 686
on matrix
elementary, 658
rank constrained, 684
subspace, 669
vectorized, 661, 662, 664, 669
on origin, 679, 684
on orthant, 681, 683
on PSD cone, 122, 503, 506, 684
geometric center subspace, 482
rank constrained, 222, 506, 512, 598
on rowspace, 49
on slab, 661
on subspace, 44, 679
on symmetric matrices, 683
on vector
cardinality k , 684
nonorthogonal, 661
orthogonal, 664
one-dimensional, 664
order of, 496
orthogonal, 664
eigenvalue coefficients, 666
semidefiniteness test as, 667
spectral, 507, 510
norm, 513
unique, 510
successive, 689
two sided, 669, 671, 673
umbral, 44
unique, 647, 650, 670, 673, 674
vectorization, 472, 671
projector
biorthogonal, 653
commutative, 687
non, 482, 686, 688
complement, 649
direction, 649, 652, 664
nonorthogonal, 646, 647, 661
dyad, 579, 644, 661, 662
Kronecker, 688
linear operator, 50, 647, 652, 654, 675
nonorthogonal, 647, 654, 661
orthogonal, 650
orthonormal, 653
product, 482, 687
range, 650
prototypical, 147
proximity
EDM
nonconvex, 510
in spectral norm, 513
problem, 495, 497, 503
rank heuristic, 520, 522
semidefinite program, 516, 526
Gram form, 517
pyramid, 441, 442
quadrant, 35
quadratic
cone, 92
convex, 198, 231, 237, 238, 352, 558
function, 219, 226, 352, 379, 526, 620,
667
nonnegative, 558
program, 433
quadrature, 384
quartix, 612, 715
quotient
Hadamard, 630, 708
Rayleigh, 668
range, 78, 670
doublet, 583, 584
dyad, 578, 579
elementary matrix, 584, 585
form, 78
orthogonal complement, 712
pseudoinverse, 639, 640
rotation, 592
rank, 550, 565, 566, 718
constraint, 277, 310, 315, 323, 338, 340,
506, 523, 531