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Bounds on Norms of Compound Matrices and on Products of Eigenvalues
Author(s) -
Elsner Ludwig,
Hershkowitz Daniel,
Schneider Hans
Publication year - 2000
Publication title -
bulletin of the london mathematical society
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 2.396
H-Index - 48
eISSN - 1469-2120
pISSN - 0024-6093
DOI - 10.1112/s0024609399006402
Subject(s) - mathematics , eigenvalues and eigenvectors , operator (biology) , matrix (chemical analysis) , mathematics subject classification , matrix norm , upper and lower bounds , pure mathematics , combinatorics , algebra over a field , mathematical analysis , biochemistry , chemistry , physics , repressor , quantum mechanics , transcription factor , gene , materials science , composite material
An upper bound on operator norms of compound matrices is presented, and special cases that involve the l 1 , l 2 and l ∞ norms are investigated. The results are then used to obtain bounds on products of the largest or smallest eigenvalues of a matrix. 1991 Mathematics Subject Classification 15A15, 15A18, 15A42.