VI CONTENTS Part III . Matrice s The distanc e o f a matri x t o a matri x subspace , th e spectru m of a matri x wit h respec t t o a n algebr a o f matrices , an d othe r matrix stories . 8. Som e matri x problem s i n engineerin g 8 9 Engineering problem s (vs . matrices) . 9. Optimization , matri x inequalities , an d matri x completion s 9 5 Matrix optimizatio n an d completio n problems . 10. Th e spectru m o f a matri x wit h respec t t o a n algebr a 10 9 A matrix spectrum . Part IV . Th e genera l H°° optimizatio n proble m 11. Nonlinea r H°° optimizatio n 12 1 Qualitative theory and a few words about quantitativ e methods . Bibliography 12 5

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