Solving linear differential equations as a minimum norm least squares problem with error-bounds

References

• Young , J. D. 1962 . Application of Linear Programming to the Numerical Solution of Linear Differential Equations , Berkeley, California : University of California, Lawrence Radiation Laboratory . Contract No. W-7405-eng-48
   Google Scholar
• Rao , C. R. and Mitra , S. K. 1971 . Generalized Inverse of Matrices and its Applications , New York : Wiley .
   Google Scholar
• Krishnamurthy , E. V. and Sen , S. K. 1993 . Numerical Algorithms: Computations in Science and Engineering , New Delhi : Affiliated East-West Press .
   Google Scholar
• Sen , S. K. and Prabhu , S. S. 1976 . Optimal iterative schemes for computing Moore-Penrose matrix inverse . Int. J. Systems Sci. , 8 : 748 – 53 .
   Google Scholar
• Greville , T. N. E. 1959 . The pseudo-inverse of a rectangular or singular matrix and its application to the solution of systems of linear equations . SIAM Rev. , 1 : 38 – 43 .
   Web of Science ®Google Scholar
• Lakshmikantham , V. , Sen , S. K. and Howell , G. 1996 . Vectors versus matrices: p-inversion cryptographic application, and vector implementation . Neural, Parallel, and Scientific Computations , 4 : 129 – 140 .
   Google Scholar