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The matrix has the structure:

[ S ]
[ D ]

Where S is an upper triangular matrix with shape (n, n) and D is a diagonal matrix with shape (n, n) with elements from :None:None:`diag`. This function applies Givens rotations to it such that the resulting matrix has zeros in place of D.

Array :None:None:`S` will be modified in-place.

Array :None:None:`v` of shape (n,) is the part of the full vector with shape (2*n,):

[ v ]
[ 0 ]

to which Givens rotations are applied. This array is modified in place, such that on exit it contains the first n components of the above mentioned vector after rotations were applied.

Zero out a diagonal block of a matrix by series of Givens rotations.

Examples

See :

Local connectivity graph

Hover to see nodes names; edges to Self not shown, Caped at 50 nodes.

Using a canvas is more power efficient and can get hundred of nodes ; but does not allow hyperlinks; , arrows or text (beyond on hover)

SVG is more flexible but power hungry; and does not scale well to 50 + nodes.

All aboves nodes referred to, (or are referred from) current nodes; Edges from Self to other have been omitted (or all nodes would be connected to the central node "self" which is not useful). Nodes are colored by the library they belong to, and scaled with the number of references pointing them


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