Effective algorithms for root sensitivities in analog electronics devices calculations

V. N. Gridin, V. B. Mikhailov

Center of Problems of Computer Aided Design of Institute for Computer Aided Design of RAS

Abstract: On the base of analysis of the most important domestic and foreign publications on problem of root sensitivity and sensitivity of spectral problems for bunches of matrixes and parametric matrixes the different approaches are explored to calculation of parametric sensitivity of the first and more high orders for own frequencies of linearized equations as analog radio electronic schemes, so similar problems in other technical exhibits. Main problems are revealed at realization of reliable computing algorithms, to which presence of phenomenon superrigidity in differential-algebraic systems pertain, greatly different expenseses of computing resources (the memories and volume of calculations) at realization of methods, mold and computing schemes, as well as possibility of use the specific construction of matrixes of mathematical models of electronic schemes (the account high vacuity matrixes and bunches of matrixes, using specialized mold of the calculation for different elements of electronic schemes and etc.).

Received: 21.03.2000

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