Contents

linalg - library for linear algebra

Table of contents

  1. addCol - linear combination of matrix columns
  2. addRow - linear combination of matrix rows
  3. adjoint - Adjoint of a matrix
  4. angle - The angle between two vectors
  5. basis - basis for a vector space
  6. charmat - characteristic matrix
  7. charpoly - characteristic polynomial of a matrix
  8. col - extract columns of a matrix
  9. companion - Companion matrix of a univariate polynomial
  10. concatMatrix - join matrices horizontally
  11. crossProduct - cross product of three-dimensional vectors
  12. curl - curl of a vector field
  13. delCol - delete matrix columns
  14. delRow - delete matrix rows
  15. det - determinant of a matrix
  16. divergence - divergence of a vector field
  17. eigenvalues - eigenvalues of a matrix
  18. eigenvectors - eigenvectors of a matrix
  19. expr2Matrix - construct a matrix from equations
  20. factorCholesky - the Cholesky decomposition of a matrix
  21. factorLU - LU-decomposition of a matrix
  22. factorQR - QR-decomposition of a matrix
  23. frobeniusForm - Frobenius form of a matrix
  24. gaussElim - Gaussian elimination
  25. gaussJordan - Gauss-Jordan elimination
  26. grad - vector gradient
  27. hermiteForm - Hermite normal form of a matrix
  28. hessenberg - Hessenberg matrix
  29. hessian - Hessian matrix of a scalar function
  30. hilbert - Hilbert matrix
  31. intBasis - basis for the intersection of vector spaces
  32. inverseLU - computing the inverse of a matrix using LU-decomposition
  33. invhilbert - inverse of a Hilbert matrix
  34. isHermitean - checks whether a matrix is Hermitean
  35. isPosDef - test a matrix for positive definiteness
  36. isUnitary - test whether a matrix is unitary
  37. jacobian - Jacobian matrix of a vector function
  38. jordanForm - Jordan normal form of a matrix
  39. matdim - dimension of a matrix
  40. matlinsolve - solving systems of linear equations
  41. matlinsolveLU - solving the linear system given by an LU decomposition
  42. minpoly - minimal polynomial of a matrix
  43. multCol - multiply columns with a scalar
  44. multRow - multiply rows with a scalar
  45. ncols - number of columns of a matrix
  46. nonZeros - number of non-zero elements of a matrix
  47. normalize - normalize a vector
  48. nrows - number of rows of a matrix
  49. nullspace - basis for the null space of a matrix
  50. ogCoordTab - table of orthogonal coordinate transformations
  51. orthog - orthogonalization of vectors
  52. permanent - permanent of a matrix
  53. pseudoInverse - Moore-Penrose inverse of a matrix
  54. randomMatrix - generate a random matrix
  55. rank - rank of a matrix
  56. row - extract rows of a matrix
  57. scalarProduct - scalar product of vectors
  58. setCol - change a column of a matrix
  59. setRow - change a row of a matrix
  60. smithForm - Smith canonical form of a matrix
  61. stackMatrix - join matrices vertically
  62. submatrix - extract a submatrix or a subvector from a matrix or a vector, respectively
  63. substitute - replace a part of a matrix by another matrix
  64. sumBasis - basis for the sum of vector spaces
  65. swapCol - swap two columns in a matrix
  66. swapRow - swap two rows in a matrix
  67. sylvester - Sylvester matrix of two polynomials
  68. tr - trace of a matrix
  69. transpose - transpose of a matrix
  70. vandermondeSolve - solve a linear Vandermonde system
  71. vecdim - number of components of a vector
  72. VectorOf - type specifier for vectors
  73. vectorPotential - vector potential of a three-dimensional vector field
  74. wiedemann - solving linear systems by Wiedemann's algorithm





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