ABSTRACT
Throughout this section, let ‖ · ‖ $ \Vert \cdot \Vert $ https://s3-euw1-ap-pe-df-pch-content-public-p.s3.eu-west-1.amazonaws.com/9780429468940/0047beac-a8ee-41c4-af5b-5b2978d30b96/content/inline-math4_1.tif"/> denote the spectral norm on C n × n $ \mathbb C _{n\times n} $ https://s3-euw1-ap-pe-df-pch-content-public-p.s3.eu-west-1.amazonaws.com/9780429468940/0047beac-a8ee-41c4-af5b-5b2978d30b96/content/inline-math4_2.tif"/> , defined by ‖ A ‖ = max ‖ x ‖ 2 = 1 ‖ A x ‖ 2 = s 1 ( A ) . $$ \Vert A\Vert = \max _{\Vert x\Vert _2 = 1} \Vert Ax\Vert _2 = s_1(A). $$ https://s3-euw1-ap-pe-df-pch-content-public-p.s3.eu-west-1.amazonaws.com/9780429468940/0047beac-a8ee-41c4-af5b-5b2978d30b96/content/math4_1a.tif"/>
