Tight frame completions with prescribed norms

Sampling Theory in Signal and Image Processing

Volumn 7, Issue 1, 2008, Pages 1-13

  Massey, P G ^a   Ruiz, M A ^a  

^a UNIVERSIDAD NACIONAL DE LA PLATA   (Argentina)

Author keywords

Frame; Majorization; Tight frame completion

Indexed keywords

EID: 39449097010     PISSN: 15306429     EISSN: None     Source Type: Journal    
DOI: None     Document Type: Article

References (13)

1. J. Antezana, P. Massey, M. Ruiz and D. Stojanoff, The Schur-Horn theorem for operators and frames with prescribed norms and frame operator, Illinois Journal of Mathematics, 51(2), 537-560, 2007.
2. P. G. Casazza, Custom building finite frames, Wavelets, Frames and Operator Theory, 61-86, Contemp. Math., 345, Amer. Math. Soc., Providence, RI, 2004.
3. P G. Casazza, J. Kovačević, M. T. Leon and J. C. Tremain, Custom built frames, preprint, 2002.
4. P. G. Casazza and M. T. Leon, Frames with a given frame operator, preprint.
5. P. G. Casazza and M. T. Leon, Existence and construction of finite tight frames, J. Concr. Appl. Math., 4(3), 277-289, 2006.
6. O. Christensen, An Introduction to Frames and Riesz Bases, Birkhäuser, Boston, 2003.
7. P. I. Davies and N. J. Higham, Numerically stable generation of correlation matrices and their factors, BIT, 40, 640-651, 2000.
8. I. S. Dhillon, R. W. Heath Jr., M. A. Sustik, J. A. Tropp, Generalized finite algorithms for constructing Hermitian matrices with prescribed diagonal and spectrum, SIAM J. Matrix Anal. Appl., 27(1), 61-71, 2005.
9. D. J. Feng, L. Wang and Y. Wang, Generation of finite tight frames by Householder transformations, Advances in Computational Mathematics, 24, 297-309, 2006.
10. V. K. Goyal, J. Kovacevic, and J.A. Kelner, Quantized frame expansions with erasures, Journal of Appl. and Comput. Harmonic Analysis, 10(3), 203-233, 2001.
11. R. Horn and C. Johnson, Matrix analysis, Cambridge University Press, Cambridge, 1985.
12. K. Kornelson and D. Larson, Rank-one decomposition of operators and construction of frames, Wavelets, Frames and Operator Theory, 203-214, Contemp. Math., 345, Amer. Math. Soc., Providence, RI, 2004.
13. R. M. Young, An introduction to Nonharmonic Fourier Series (revised first edition), Academic Press, San Diego, 2001.