论文信息 - A New Approach to Generalized Singular Value Decomposition

A New Approach to Generalized Singular Value Decomposition

We propose a new algorithm to find the generalized singular value decompositions of two matrices with the same number of columns. We discuss in detail the sensitivity of our algorithm to errors in the entries of the matrices and suggest a way to suppress this sensitivity.

Shmuel Friedland | S. Friedland

[1] G. Stewart. A method for computing the generalized singular value decomposition , 1983 .

[2] M. Saunders,et al. Towards a Generalized Singular Value Decomposition , 1981 .

[3] Gene H. Golub,et al. NOVEL GENOME-SCALE CORRELATION BETWEEN DNA REPLICATION AND RNA TRANSCRIPTION DURING THE CELL CYCLE IN YEAST IS PREDICTED BY DATA-DRIVEN MODELS , 2004 .

[4] Shmuel Friedland,et al. A simultaneous reconstruction of missing data in DNA microarrays , 2006 .

[5] D. Botstein,et al. Generalized singular value decomposition for comparative analysis of genome-scale expression data sets of two different organisms , 2003, Proceedings of the National Academy of Sciences of the United States of America.

[6] Gene H. Golub,et al. Matrix computations , 1983 .

[7] Charles E. Heckler,et al. Applied Multivariate Statistical Analysis , 2005, Technometrics.

[8] D. Botstein,et al. Singular value decomposition for genome-wide expression data processing and modeling. , 2000, Proceedings of the National Academy of Sciences of the United States of America.

[9] Charles R. Johnson,et al. Matrix analysis , 1985, Statistical Inference for Engineers and Data Scientists.