ratmat.at Function References¶
gcd¶
gcd:mat M->int Defined in line number 13.simplify¶
simplify:ratmat(M,,d)->ratmat Defined in line number 16./¶
/:mat M,int d->ratmat Defined in line number 19.*¶
*:rat f,mat M->ratmat Defined in line number 23./¶
/:mat M,rat f->ratmat Defined in line number 24.entry¶
entry:ratmat(M,,d),int i,int j->rat Defined in line number 26.matrix¶
matrix:(int,int)(r,c),(int,int->rat) f->ratmat Defined in line number 29.n_rows¶
n_rows:ratmat(M,,)->int Defined in line number 34.n_columns¶
n_columns:ratmat(M,,)->int Defined in line number 35.columns¶
columns:ratmat(M,,d)->[ratvec] Defined in line number 37.rows¶
rows:ratmat(M,,d)->[ratvec] Defined in line number 38.column¶
column:ratmat(M,,d),int j->ratvec Defined in line number 39.row¶
row:ratmat(M,,d),int i->ratvec Defined in line number 40.columns_with¶
columns_with:(int,ratvec->bool) p,ratmat(M,,d)->ratmat Defined in line number 42.columns_with¶
columns_with:(ratvec->bool) p,ratmat T->ratmat Defined in line number 45.columns_with¶
columns_with:(int->bool) p,ratmat(M,,d)->ratmat Defined in line number 47.rows_with¶
rows_with:(int,ratvec->bool) p,ratmat(M,,d)->ratmat Defined in line number 50.rows_with¶
rows_with:(ratvec->bool) p,ratmat T->ratmat Defined in line number 53.rows_with¶
rows_with:(int->bool) p,ratmat(M,,d)->ratmat Defined in line number 55.det¶
det:ratmat(M,,d)->rat Defined in line number 58.^¶
^:ratmat(M,,d)->ratmat Defined in line number 60.+¶
+:ratmat(M,,d),ratmat(MM,,dd)->ratmat Defined in line number 62.-¶
-:ratmat(M,,d),ratmat(MM,,dd)->ratmat Defined in line number 63.*¶
*:ratvec v,ratmat(M,,d)->ratvec Defined in line number 66.*¶
*:ratmat(M,,d),ratvec v->ratvec Defined in line number 67.*¶
*:ratmat(M,,d),mat MM->ratmat Defined in line number 69.*¶
*:mat M,ratmat(MM,,d)->ratmat Defined in line number 70.*¶
*:ratmat(M,,d),ratmat(MM,,dd)->ratmat Defined in line number 71./¶
/:ratmat(M,,d)->ratmat Defined in line number 73.^¶
^:ratmat(M,,d):Md,int e->ratmat Defined in line number 77.ratmat_as_mat¶
ratmat_as_mat:ratmat(M,,d)->mat Defined in line number 80.mat_as_ratmat¶
mat_as_ratmat:mat M->ratmat Defined in line number 82.diagonal¶
diagonal:ratvec v->ratmat Defined in line number 83.ratvecs_as_ratmat¶
ratvecs_as_ratmat:[ratvec] A->ratmat Defined in line number 86.det¶
det:[ratvec] M->rat Defined in line number 89.^¶
^:[ratvec] M->ratmat Defined in line number 90.*¶
*:[ratvec] M,ratmat MM->ratmat Defined in line number 91.*¶
*:ratmat M,[ratvec] MM->ratmat Defined in line number 92.+¶
+:[ratvec] M,ratmat MM->ratmat Defined in line number 93.+¶
+:ratmat M,[ratvec] MM->ratmat Defined in line number 94.-¶
-:[ratvec] M,ratmat MM->ratmat Defined in line number 95.-¶
-:ratmat M,[ratvec] MM->ratmat Defined in line number 96.inverse¶
inverse:ratmat(M,,d)->ratmat Defined in line number 98.solve¶
solve:ratmat(M,,d), ratvec v->[ratvec] Defined in line number 99.*¶
*:[ratvec] M,mat MM->ratmat Defined in line number 102.*¶
*:mat M,[ratvec] MM->ratmat Defined in line number 103.+¶
+:[ratvec] M,mat MM->ratmat Defined in line number 104.+¶
+:mat M,[ratvec] MM->ratmat Defined in line number 105.-¶
-:[ratvec] M,mat MM->ratmat Defined in line number 106.-¶
-:mat M,[ratvec] MM->ratmat Defined in line number 107.rational_inverse¶
rational_inverse:mat M->ratmat Defined in line number 110.right_inverse¶
right_inverse:ratmat M->ratmat Defined in line number 113.Right inverse of a rational matrix
left_inverse¶
left_inverse:ratmat M->ratmat Defined in line number 117.Left inverse of rational matrix
ratvec_to_string¶
ratvec_to_string:ratvec v->string Defined in line number 119.show¶
show:ratmat(M,,d)->void Defined in line number 126.ratmat¶
(mat,string,int) Defined in line number 10.