New items

• New software for compressed representations. These are matrices admitting a compressed QR-factorization with the same number of parameters as the QR-factorization of a Hessenberg matrix: CAPAC, under the software section.
• I will no longer maintain a separate database of my publications and so forth here on this website. This is done now automatically by the university: click here for more information.
• Matrix Computations & Semiseparable Matrices II: Eigenvalue and Singular Value Methods
  

  Vandebril R., Van Barel M. and Mastronardi N., Matrix Computations & Semiseparable Matrices II: Eigenvalue and Singular Value Methods, 520 pages. In press by Johns Hopkins University Press. See: Matrix Computations & Semiseparable Matrices II Description: The general properties and mathematical structures of semiseparable matrices were presented in volume 1 of Matrix Computations and Semiseparable Matrices. In volume 2, Raf Vandebril, Marc Van Barel, and Nicola Mastronardi discuss the theory of structured eigenvalue and singular value computations for semiseparable matrices. These matrices have hidden properties that allow the development of efficient methods and algorithms to accurately compute the matrix eigenvalues. This thorough analysis of semiseparable matrices explains their theoretical underpinnings and contains a wealth of information on implementing them in practice. Many of the routines featured are coded in Matlab and can be downloaded from the Web for further exploration.

• Matrix Computations & Semiseparable Matrices I: Linear Systems
  

  Vandebril R., Van Barel M. and Mastronardi N., Matrix Computations & Semiseparable Matrices I: Linear Systems, 570 pages. In press by Johns Hopkins University Press. See: Matrix Computations & Semiseparable Matrices I Description: Few mathematical structures are used and applied as frequently as matrices. Applied mathematicians, engineers, and physicists rely heavily on matrices when number-crunching. In recent years several new classes of matrices have been discovered and their structure exploited to design fast and accurate algorithms. In this new reference work, Raf Vandebril, Marc Van Barel, and Nicola Mastronardi present the first comprehensive overview of the mathematical and numerical properties of the family's newest member: semiseparable matrices. The text is divided into three parts. The first provides some historical background and introduces concepts and definitions concerning structured rank matrices. The second offers some traditional methods for solving systems of equations involving the basic subclasses of these matrices. The third section discusses structured rank matrices in a broader context, presents algorithms for solving higher-order structured rank matrices, and examines hybrid variants such as block quasiseparable matrices. An accessible case study clearly demonstrates the general topic of each new concept discussed. Many of the routines featured are implemented in Matlab and can be downloaded from the Web for further exploration.

• For the moment I am on a leave to the University of Science and Technology, Lille.