lib/gmath: Fix typos (#5704)

Author: luzpaz

lib/gmath/gmathlib.dox

@@ -192,7 +192,7 @@ The wrapper integrates the ccmath library functions into the gmath
 structure. Hence only gmath memory allocation function should be used to create
 vector and matrix structures used by ccmath.
 
-This is the documentation of the linear algebra part of the the ccmath library used by GRASS.
+This is the documentation of the linear algebra part of the ccmath library used by GRASS.
 It was written by Daniel A. Atkinson and provides a detailed description of the available
 linear algebra functions.
 \verbatim

lib/gmath/la.c

@@ -173,9 +173,9 @@ mat_struct *G_matrix_copy(const mat_struct *A)
 /*!
  * \fn mat_struct *G_matrix_add (mat_struct *mt1, mat_struct *mt2)
  *
- * \brief Adds two matricies
+ * \brief Adds two matrices
  *
- *  Adds two matricies <b>mt1</b> and <b>mt2</b> and returns a
+ *  Adds two matrices <b>mt1</b> and <b>mt2</b> and returns a
  * resulting matrix. The return structure is automatically initialized.
  *
  * \param mt1
@@ -191,9 +191,9 @@ mat_struct *G_matrix_add(mat_struct *mt1, mat_struct *mt2)
 /*!
  * \fn mat_struct *G_matrix_subtract (mat_struct *mt1, mat_struct *mt2)
  *
- * \brief Subtract two matricies
+ * \brief Subtract two matrices
  *
- * Subtracts two matricies <b>mt1</b> and <b>mt2</b> and returns
+ * Subtracts two matrices <b>mt1</b> and <b>mt2</b> and returns
  * a resulting matrix. The return matrix is automatically initialized.
  *
  * \param mt1
@@ -346,7 +346,7 @@ mat_struct *G__matrix_add(mat_struct *mt1, mat_struct *mt2, const double c1,
 /*!
  * \fn mat_struct *G_matrix_product (mat_struct *mt1, mat_struct *mt2)
  *
- * \brief Returns product of two matricies
+ * \brief Returns product of two matrices
  *
  *  Returns a matrix with the product of matrix <b>mt1</b> and
  * <b>mt2</b>. The return matrix is automatically initialized.

lib/gmath/solvers_direct_cholesky_band.c

@@ -124,7 +124,7 @@ void G_math_cholesky_sband_substitution(double **T, double *x, double *b,
 }
 
 /*--------------------------------------------------------------------------------------*/
-/* Tcholetsky matrix invertion */
+/* Tcholetsky matrix inversion */
 
 void G_math_cholesky_sband_invert(double **A, double *invAdiag, int rows,
                                   int bandwidth)
@@ -140,12 +140,12 @@ void G_math_cholesky_sband_invert(double **A, double *invAdiag, int rows,
     /* T computation                */
     G_math_cholesky_sband_decomposition(A, T, rows, bandwidth);
 
-    /* T Diagonal invertion */
+    /* T Diagonal inversion */
     for (i = 0; i < rows; i++) {
         T[i][0] = 1.0 / T[i][0];
     }
 
-    /* A Diagonal invertion */
+    /* A Diagonal inversion */
     for (i = 0; i < rows; i++) {
         vect[0] = T[i][0];
         invAdiag[i] = vect[0] * vect[0];
@@ -169,7 +169,7 @@ void G_math_cholesky_sband_invert(double **A, double *invAdiag, int rows,
 }
 
 /*--------------------------------------------------------------------------------------*/
-/* Tcholetsky matrix solution and invertion */
+/* Tcholetsky matrix solution and inversion */
 
 void G_math_solver_cholesky_sband_invert(double **A, double *x, double *b,
                                          double *invAdiag, int rows,
@@ -188,12 +188,12 @@ void G_math_solver_cholesky_sband_invert(double **A, double *x, double *b,
     G_math_cholesky_sband_decomposition(A, T, rows, bandwidth);
     G_math_cholesky_sband_substitution(T, x, b, rows, bandwidth);
 
-    /* T Diagonal invertion */
+    /* T Diagonal inversion */
     for (i = 0; i < rows; i++) {
         T[i][0] = 1.0 / T[i][0];
     }
 
-    /* A Diagonal invertion */
+    /* A Diagonal inversion */
     for (i = 0; i < rows; i++) {
         vect[0] = T[i][0];
         invAdiag[i] = vect[0] * vect[0];

lib/gmath/solvers_krylov.c

@@ -101,7 +101,7 @@ int G_math_solver_pcg(double **A, double *x, double *b, int rows, int maxit,
 int G_math_solver_pcg_sband(double **A, double *x, double *b, int rows,
                             int bandwidth, int maxit, double err, int prec)
 {
-    G_fatal_error("Preconditioning of band matrics is not implemented yet");
+    G_fatal_error("Preconditioning of band matrices is not implemented yet");
     return solver_pcg(A, NULL, x, b, rows, maxit, err, prec, 1, bandwidth);
 }