-
introduced the
concept of a
pseudoinverse of
integral operators in 1903. When
referring to a matrix, the term
pseudoinverse,
without further specification...
- A{\displaystyle A}. If it
satisfies all four conditions, then it is the
pseudoinverse of A{\displaystyle A},
which is
denoted by A+{\displaystyle A^{+}} and...
- In mathematics, a
block matrix pseudoinverse is a
formula for the
pseudoinverse of a
partitioned matrix. This is
useful for
decomposing or approximating...
- is not
valid if one or more
inverses are
replaced by (Moore–Penrose)
pseudoinverses. However, if A{\displaystyle A} and C{\displaystyle C} are positive...
-
defined as
multiplication by the
pseudoinverse. That is, A / B = AB+ and A \ B = A+B,
where A+ and B+
denote the
pseudoinverses of A and B. In
abstract algebra...
- {I} _{r}.}
Mathematical applications of the SVD
include computing the
pseudoinverse,
matrix approximation, and
determining the rank, range, and null space...
-
transpose of the
cofactor matrix Conjugate transpose Moore–Penrose
pseudoinverse Projection (linear algebra) Nykamp, Duane. "The
transpose of a matrix"...
- (unique)
pseudoinverse, the Moore–Penrose inverse. In this case
however the
involution a* is not the
pseudoinverse. Rather, the
pseudoinverse of x is the...
- h{\displaystyle h} is a
reasonably small positive value.
Taking the Moore–Penrose
pseudoinverse of the
Jacobian (com****ble
using a
singular value decomposition) and...
- (L-unipotent) La
contains a
unique h. Gril p. 382
Locally inverse semigroup (
Pseudoinverse semigroup)
There exists x such that axa = a. E is a pseudosemilattice...