A FAST MEMORY EFFICIENT CONSTRUCTION ALGORITHM FOR HIERARCHICALLY SEMI-SEPARABLE REPRESENTATIONS.

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Bibliographic Details
Title: A FAST MEMORY EFFICIENT CONSTRUCTION ALGORITHM FOR HIERARCHICALLY SEMI-SEPARABLE REPRESENTATIONS.
Authors: LESSEL, K.1 klessel@engineering.ucsb.edu, HARTMAN, M.1 mhartman@umail.ucsb.edu, CHANDRASEKARAN, S.1 shiv@ece.ucsb.edu
Source: SIAM Journal on Matrix Analysis & Applications. 2016, Vol. 37 Issue 1, p338-353. 16p.
Subjects: Semiseparable matrices, Peak load pricing (Public utilities), Computer memory management, Matrix exponential, Operator equations (Quantum mechanics), Mathematical models
Abstract: Existing hierarchically semi-separable construction algorithms for dense n × n matrices require as much as O(n2) peak workspace memory, at a cost of O(n2) flops. An algorithm is presented which requires O(n1.5) peak worskpace memory in the worst case, while still requiring only O(n2) flops. [ABSTRACT FROM AUTHOR]
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Database: Engineering Source
Description
Abstract:Existing hierarchically semi-separable construction algorithms for dense n × n matrices require as much as O(n2) peak workspace memory, at a cost of O(n2) flops. An algorithm is presented which requires O(n1.5) peak worskpace memory in the worst case, while still requiring only O(n2) flops. [ABSTRACT FROM AUTHOR]
ISSN:08954798
DOI:10.1137/15M1028467