- {\displaystyle A^{+}} of a
matrix A {\displaystyle A} ,
often called the
pseudoinverse, is the most
widely known generalization of the
inverse matrix. It was...
- {\displaystyle A} . If it
satisfies all four conditions, then it is the
pseudoinverse of A {\displaystyle A} ,
which is
denoted by A + {\displaystyle A^{+}}...
-
update to a
determinant Invertible matrix Moore–Penrose
pseudoinverse § Updating the
pseudoinverse Max A. Woodbury,
Inverting modified matrices, Memorandum...
- {I} _{r}.}
Mathematical applications of the SVD
include computing the
pseudoinverse,
matrix approximation, and
determining the rank, range, and null space...
- In mathematics, a
block matrix pseudoinverse is a
formula for the
pseudoinverse of a
partitioned matrix. This is
useful for
decomposing or approximating...
-
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...
- Furthermore, if
every element has a
unique pseudoinverse, then the
semigroup is a group, and the
unique pseudoinverse of an
element coincides with the group...
-
cofactor matrix Conjugate transpose Converse relation 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...
-
satellites for a solution,
Bancroft uses the
generalized inverse (i.e., the
pseudoinverse) to find a solution. A case has been made that
iterative methods, such...
