• Publications
  • Influence
Mathematical Handbook for Scientists and Engineers
  • 1,082
  • 80
Computer methods for mathematical computations
  • 2,173
  • 76
Nineteen Dubious Ways to Compute the Exponential of a Matrix
In principle, the exponential of a matrix could be computed in many ways. Methods involving approximation theory, differential equations, the matrix eigenvalues, and the matrix characteristic polyn...
  • 1,637
  • 64
  • PDF
Numerical methods and software
1. Introduction. 2. Computer Arithmetic and Computational Errors. 3. Linear systems of Equations. 4. Interpolation. 5. Numerical Quadrature. 6. Linear Least-Square Data Fitting. 7. Solution ofExpand
  • 980
  • 49
Nineteen Dubious Ways to Compute the Exponential of a Matrix, Twenty-Five Years Later
TLDR
In principle, the exponential of a matrix could be computed in many ways. Expand
  • 1,837
  • 48
  • PDF
An Algorithm for Generalized Matrix Eigenvalue Problems.
A new method, called the $QZ$ algorithm, is presented for the solution of the matrix eigenvalue problem $Ax = \lambda Bx$ with general square matrices A and B. Particular attention is paid to theExpand
  • 969
  • 47
Numerical computing with MATLAB
  • C. Moler
  • Mathematics, Computer Science
  • 1 June 2004
Preface 1. Introduction to MATLAB 2. Linear equations 3. Interpolation 4. Zeros and roots 5. Least squares 6. Quadrature 7. Ordinary differential equations 8. Fourier analysis 9. Random numbers 10.Expand
  • 598
  • 44
  • PDF
Sparse Matrices in MATLAB: Design and Implementation
TLDR
The matrix computation language and environment MATLAB is extended to include sparse matrix storage and operations, without any explicit action by the user. Expand
  • 562
  • 40
LINPACK Users' Guide
TLDR
General matrices Band matrices positive definite matrices Positive definite band matrices Symmetric Indefinite Matrices Triangular matrices Tridiagonal matrices The Cholesky decomposition The QR decomposition Updating QR decompositions The singular value decomposition References Basic linear algebra subprograms. Expand
  • 954
  • 37
Matrix Eigensystem Routines — EISPACK Guide
TLDR
How to use Eispack.- Validation of EISpack.- Execution times for Eis Pack.- Certification and availability of EisPack.- Differences between the Eis pack subroutines and the handbook algol procedures.- Documentation and source listings. Expand
  • 614
  • 29
...
1
2
3
4
5
...