-
triangular matrix are all 1, the
matrix is
called (lower or upper)
unitriangular.
Other names used for
these matrices are unit (lower or upper) triangular...
- The
first one can be
described in
other terms as
group UT(3,p) of
unitriangular matrices over
finite field with p elements, also
called the Heisenberg...
- to set L
unitriangular, i.e. with all n {\displaystyle n} main
diagonal elements equal one. However,
setting instead U
matrix unitriangular reduces to...
- only 1 {\displaystyle 1} s on the diagonal,
which is
called the
upper unitriangular matrix group, and D n {\displaystyle \mathbb {D} _{n}} is the subgroup...
-
computing the
factorization A = L U {\displaystyle A=LU} , with L
lower unitriangular and U
upper triangular. One then
solves L y = b {\displaystyle Ly=b}...
- is the
direct product of p-groups. The
multiplicative group of
upper unitriangular n × n
matrices over any
field F is a
nilpotent group of
nilpotency class...
- \mathbf {A} =\mathbf {LDL} ^{*},}
where L is a
lower unit
triangular (
unitriangular) matrix, and D is a
diagonal matrix. That is, the
diagonal elements...
-
where D {\displaystyle D} is
diagonal and L {\displaystyle L} is
lower unitriangular. Any 2 n × 2 n {\displaystyle 2n\times 2n}
positive definite Hermitian...
- of the
subgroups A of real
positive diagonal matrices and N of
lower unitriangular matrices on the unit
tangent bundle G / Γ. The Ambrose-Kakutani theorem...
-
Chicago Lectures in Mathematics.
University of
Chicago Press. ISBN 978-0226500522. Groupprops, The
Group Properties Wiki
Unitriangular matrix group UT(3,p)...
