-
computing the
determinant of
certain submatrices. A prin****l
submatrix is a
square submatrix obtained by
removing certain rows and columns. The definition...
-
called the (i, j) minor, or a
first minor) is the
determinant of the
submatrix formed by
deleting the i-th row and j-th column. This
number is often...
- A non-vanishing p-minor (p × p
submatrix with non-zero determinant)
shows that the rows and
columns of that
submatrix are
linearly independent, and thus...
-
square submatrix has
determinant 0, +1 or −1. A
totally unimodular matrix need not be
square itself. From the
definition it
follows that any
submatrix of...
- i}{(\lambda _{i}-\lambda _{k})}}},}
where M j {\textstyle M_{j}} is the
submatrix formed by
removing the jth row and
column from the
original matrix. This...
-
perfect matrix is an m-by-n
binary matrix that has no
possible k-by-k
submatrix K that
satisfies the
following conditions: k > 3 the row and
column sums...
- if a
submatrix is
formed from the rows with
indices {i1, i2, …, im} and the
columns with
indices {j1, j2, …, jn}, then the
complementary submatrix is formed...
- all the
minors are positive: that is, the
determinant of
every square submatrix is a
positive number. A
totally positive matrix has all
entries positive...
- this
number can be
computed in
polynomial time from the
determinant of a
submatrix of the graph's
Laplacian matrix; specifically, the
number is
equal to...
- 0&0&0&1\end{array}}\right]}
where R is the 3×3
submatrix describing rotation and T is the 3×1
submatrix describing translation. In some books, the order...
