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extract [2016/02/28 11:01] anton sources added |
extract [2016/11/07 21:06] (current) anton * [Extract procedure] fixed subscripts |
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| We consider the differential system of full rank of the form | We consider the differential system of full rank of the form | ||
| - | //A//1 //y//' + //A//0 //y// = 0 | + | //A//<sub>1</sub>//y//' + //A//<sub>0</sub>//y// = 0 |
| - | where //A//1, //A//0 are square matrices and //y// is unknown vector, some components of which are //selected// | + | where //A//<sub>1</sub>, //A//<sub>0</sub> are square matrices and //y// is unknown vector, some components of which are //selected// |
| - | (are of more interest to us then the other ones). The leading matrix //A//1 may be singular (i.e. the initial | + | (are of more interest to us then the other ones). The leading matrix //A//<sub>1</sub> may be singular (i.e. the initial |
| system may be a differential-algebraic system). | system may be a differential-algebraic system). | ||
| The ''Extract'' procedure builds a new normal differential system | The ''Extract'' procedure builds a new normal differential system | ||
| - | //ỹ//' = //A// //ỹ// | + | //ỹ//' = //Aỹ// |
| for the part of unknowns //ỹ// ⊂ //y//. If some selected unknowns are not the part of //ỹ// | for the part of unknowns //ỹ// ⊂ //y//. If some selected unknowns are not the part of //ỹ// | ||