skew-symmetric matrix


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Related to skew-symmetric matrix: Orthogonal matrix

skew-symmetric matrix

[′skyü si¦me·trik ′mā·triks]
(mathematics)
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2n+1]}, whose A is the normal formed skew-symmetric matrix and C is a (2n + 1) x 1 column matrix such that
Let the number of timelike vectors be even: In this case, a skew-symmetric matrix A with respect to a pseudo-orthonormal basis [empty set] can be written as
We can take skew-symmetric matrix A and 3 x 1 column matrix C as below
Further, if A is a skew-symmetric matrix, then we write [A.
i,j[greater than or equal to]1] be the skew-symmetric matrix defined by
n x n]) be a complex symmetric or complex skew-symmetric matrix polynomial of the form (1.
Backward errors for complex symmetric and skew-symmetric matrix polynomials.
Two algorithms are proposed: one for general skew-symmetric/symmetric pencils and one for pencils in which the skew-symmetric matrix is a direct sum of 0 and J = [MATHEMATICAL EXPRESSION NOT REPRODUCIBLE IN ASCII.
The first method that we discuss here deals with pencils where N is a general skew-symmetric matrix and the second method which is discussed in [10] treats the important special case that N = [MATHEMATICAL EXPRESSION NOT REPRODUCIBLE IN ASCII.
We compare the results of our scheme with the similar scheme that takes into account explicitly the term that contains the skew-symmetric matrix B([u.
Then we factorize the skew-symmetric matrix B of (2.
When we factorized the skew-symmetric matrix B as a product [R.