Thats a unique idea.You should consider the following idea to enhance your idea so that it would impact uniquely: A number of algorithms for the iterative calculation of a polynomial matrix eigenvalue decomposition (PEVD) have been introduced. The PEVD is a generalisation of the ordinary EVD and will diagonalise a parahermitian matrix via paraunitary operations.  addresses savings — both computationally and in terms of memory use — that exploit the parahermitian structure of the matrix being decomposed, and also suggests an implicit trimming approach to efficiently curb the polynomial order growth usually observed during iterations of the PEVD algorithms.  demonstrate that with the proposed techniques, both storage and computations can be significantly reduced, impacting on a number of broadband multichannel problems.
['Fraser K. Coutts', 'Jamie Corr', 'Keith Thompson', 'Stephan Weiss', 'Ian K. Proudler', 'John G. McWhirter']
I am writing a research paper on a idea Memory and complexity reduction in parahermitian matrix manipulations of PEVD algorithms
[{"from": "human", "value": "I am writing a research paper on a idea Memory and complexity reduction in parahermitian matrix manipulations of PEVD algorithms"}, {"from": "gpt", "value": "Thats a unique idea.You should consider the following idea to enhance your idea so that it would impact uniquely: A number of algorithms for the iterative calculation of a polynomial matrix eigenvalue decomposition (PEVD) have been introduced. The PEVD is a generalisation of the ordinary EVD and will diagonalise a parahermitian matrix via paraunitary operations.  addresses savings \u2014 both computationally and in terms of memory use \u2014 that exploit the parahermitian structure of the matrix being decomposed, and also suggests an implicit trimming approach to efficiently curb the polynomial order growth usually observed during iterations of the PEVD algorithms.  demonstrate that with the proposed techniques, both storage and computations can be significantly reduced, impacting on a number of broadband multichannel problems."}]