V. Fraysse, M. Gueury, F. Nicoud and V. Toumazou, Spectral portraits for matrix pencils, Technical Report TR/PA/96/19, 1996, CERFACS. 29 Home/Search Document Details and Download
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The Generalized Eigenvalue Problem for Non-Square.. - Boutry, Elad, Golub.. (Correct)
....of the input pencil may change its canonical form. Another line of research of relevance to this work is the study of pseudospectra for rectangular pencils (see survey by T. G. Wright and L.N. Trefethen [19] on this topic) Most of the con3 tributions in this field refer to the square pencil case [21, 11, 20]. When treating a rectangular non solvable pencil, its pseudospectra is most likely to be empty for very small distances. As this distance grows, at some point the pseudospectra becomes non empty. This is exactly the distance our solution should point to. More on the relation to pseudospectra will ....
....of the matrices involved [19] The notion of pseudospectra in general, and for rectangular pencils in particular, is a relatively new subject. The definition of pseudospectra for the square case is given in [19] # # (A) z # #(A E) #E# # . Many papers treat the square case [2, 11, 10, 20, 21]. For a comprehensive survey see [19] A treatment of the non square pencil is addressed in [21, 11] by generalizing the definition of Van Dorsselaer for pencils to # # (A, B) z : u 0 , A E)u = z(B F)u, # #E# #F# # . Clearly, the resemblance to our problem is evident. ....
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V. Fraysse, M. Gueury, F. Nicoud and V. Toumazou, Spectral portraits for matrix pencils, Technical Report TR/PA/96/19, 1996, CERFACS.
The Generalized Eigenvalue Problem for Non-Square.. - Boutry, Elad, Golub.. (2004) (Correct)
No context found.
V. Fraysse, M. Gueury, F. Nicoud and V. Toumazou, Spectral portraits for matrix pencils, Technical Report TR/PA/96/19, 1996, CERFACS. 29
Eigenvalues and Pseudospectra of Rectangular Matrices - Wright, Trefethen (2002) (2 citations) (Correct)
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Valerie Fraysse, Michel Gueury, Frank Nicoud and Vincent Toumazou, 1996. Spectral portraits for matrix pencils. Technical Report TR/PA/96/19, CERFACS.
The Generalized Eigenvalue Problem for Non-Square.. - Boutry, Elad, Golub.. (Correct)
No context found.
V. Fraysse, M. Gueury, F. Nicoud and V. Toumazou, Spectral portraits for matrix pencils, Technical Report TR/PA/96/19, 1996, CERFACS.
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