Separable Type Representations of Matrices and Fast Algorithms

Volume 2 Eigenvalue Method

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This two-volume work presents a systematic theoretical and computational study of several types of generalizations of separable matrices. The main attention is paid to fast algorithms (many of linear complexity) for matrices in semiseparable, quasiseparable, band and companion form. The work is focused on algorithms of multiplication, inversion and description of eigenstructure and includes a large number of illustrative examples throughout the different chapters.The second volume, consisting of four parts, addresses the eigenvalue problem for matrices with quasiseparable structure and applica...