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• W44969393 abstract "Reduction to Hessenberg form is a major performance bottleneck in the computation of the eigenvalues of a nonsymmetric matrix; which takes O(N 3) flops. All the known blocked and unblocked direct Hessenberg reduction algorithms have an I/O complexity of O(N 3/B). To improve the performance by incorporating matrix-matrix operations in the computation, usually the Hessenberg reduction is computed in two steps: the first reducing the matrix to a banded Hessenberg form, and the second further reducing it to Hessenberg form. We propose and analyse the first step of the reduction, i.e., reduction of a nonsymmetric matrix to banded Hessenberg form of bandwidth t for varying values of N and M (the size of the internal memory), on external memory model introduced by Aggarwal and Vitter for the I/O complexity and show that the reduction can be performed in (O(N^3/min{t,sqrt{M}}B)) I/Os." @default.
• W44969393 created "2016-06-24" @default.
• W44969393 creator A5000674132 @default.
• W44969393 creator A5043735213 @default.
• W44969393 date "2012-01-01" @default.
• W44969393 modified "2023-09-26" @default.
• W44969393 title "I/O Efficient Algorithms for Block Hessenberg Reduction Using Panel Approach" @default.
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• W44969393 doi "https://doi.org/10.1007/978-3-642-35542-4_12" @default.
• W44969393 hasPublicationYear "2012" @default.
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