On Structured Singular Values

Cover On Structured Singular Values
On Structured Singular Values
James Demmel
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First find unit vectors v^ and u^ such that u\Xv^ = i, and unit vectors v, and mJ| such that uli^Yvy^ = r). Now let ul = ul / (et, )"^ 4 = "?; / ii^y ' note that 1 1 87 1 1 = |p|/(eTi)"' and u. \Wv^ = p-w where |w| s a udZvd " p-i. Where |t| ^ a (uJXvD)-(«5yv^) = p2 so we may rewrite (4. 2) as (l+p-a))-(l + PiD - P 2 _ whose solutions are p± = ^ C + co ± ((i^-lY + 4) \V2 2(1 - 0)1) It is easy to verify that min |p* I s (1 + °^) l-a^ 2\l/2 as desired. It is also easy to verify that if 0

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