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34+ Upper Hessenberg (Pics 1600x1200 1080P). In mathematical term matij = 0 for . Implements this and produces the orthogonal matrix q and the transformed matrix h = qaq in upper hessenberg form.
Since a=qr and r is upper triangular, the kth column of a is a linear combination of the first k columns of q (the coefficients of this . The matrix h is an upper hessenberg matrix: In mathematical term matij = 0 for .
Let h ∈ cn×n be an upper hessenberg matrix.
Implements this and produces the orthogonal matrix q and the transformed matrix h = qaq in upper hessenberg form. The hessenberg matrix of a has the same eigenvalues as a. A matrix is said to be in upper hessenberg form if its elements tex2html_wrap_inline411 for all tex2html_wrap_inline413 .
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