sparse.at

sparse_column, sparse_mat type

set_type [ sparse_column = [(int,int)], sparse_mat=[sparse_column] ]

S is given by a list of columns, each a list of row number-coefficient pairs

sparse

unsparse

*

multiply matrix * sparse_mat on the right

also in this file at line 31; also defined in basic.at, extParamPol.at, complex.at, modules.at, hodge_tensor.at, tits_centralizer.at, stable.at, synthetic.at, Weylgroup.at, group_operations.at, ratmat.at, tits.at, twisted_root_datum.at, cyclotomic.at, polynomial.at, hodgeParamLaurentPol.at, hodgeParamPol.at, laurentPolynomial.at, cyclotomic_Lie_algebra.at, cyclotomicMat.at, bracket.at, hodge_functions.at, lazy_lists.at

^

transpose of a sparse_mat, requires specifying height

also defined in basic.at, ratmat.at, tits.at, cyclotomic.at, polynomial.at, lazy_lists.at

*

sparse_mat * mat: (S*M)=^(^M* ^S);  for computing ^S use height=#M

also in this file at line 16; also defined in basic.at, extParamPol.at, complex.at, modules.at, hodge_tensor.at, tits_centralizer.at, stable.at, synthetic.at, Weylgroup.at, group_operations.at, ratmat.at, tits.at, twisted_root_datum.at, cyclotomic.at, polynomial.at, hodgeParamLaurentPol.at, hodgeParamPol.at, laurentPolynomial.at, cyclotomic_Lie_algebra.at, cyclotomicMat.at, bracket.at, hodge_functions.at, lazy_lists.at