- the
quadratic form is
called positive-definite or negative-definite. A
semidefinite (or semi-definite)
quadratic form is
defined in much the same way, except...
-
positive semidefinite may
refer to:
Positive semidefinite function Positive semidefinite matrix Positive semidefinite quadratic form
Positive semidefinite bilinear...
- n\times n}
symmetric real
matrix which is
neither positive semidefinite nor
negative semidefinite is
called indefinite. The
following definitions all involve...
-
Semidefinite programming (SDP) is a
subfield of
mathematical programming concerned with the
optimization of a
linear objective function (a user-specified...
-
Unfolding (MVU), also
known as
Semidefinite Embedding (SDE), is an
algorithm in
computer science that uses
semidefinite programming to
perform non-linear...
- the
specific case when A is
positive semidefinite, to
denote the
unique matrix B that is
positive semidefinite and such that BB = BTB = A (for real-valued...
- well
known classes of
convex optimization problems,
namely linear and
semidefinite programming.
Given a real
vector space X, a convex, real-valued function...
- positive-definite. An
analogous theorem holds for
characterizing positive-
semidefinite Hermitian matrices,
except that it is no
longer sufficient to consider...
- The last line
specifies that V has
matrix rank one and is
positive semidefinite. The last line
means that one has V = v v T {\displaystyle V=vv^{T}}...
-
reformulated as an
instance of
semidefinite program. The converse, however, is not valid:
there are
positive semidefinite cones that do not
admit any second-order...
