Spring 2004
ENSC 895: SPECIAL TOPICS: THEORY, ANALYSIS, AND SIMULATION OF NONLINEAR CIRCUITS

Assignment #5:

  • Send me the names and email address of your team members. Include the working title of your project.

  • Read:
    A. N. Willson, Jr., ``A useful generalization of the Po matrix concept,'' Numerical Mathematics, vol. 17, pp. 62-70, 1971.

  • For matrix A given in the handout no. 5:
        find x in E^3 so that Ax = 0.
        find x in E^3 so that A^Tx = 0.

  • Prove that if A = B^TB, where B is any mxn matrix of real numbers, the A is a positive semi-definite matrix.

  • If A and B are both positive semi-definite symmetric matrices, is the matrix DB positive semi-definite, where D is an arbitrary diagonal matrix having positive elements on the main diagonal? Why?

  • Using the simple transistor model, write dc equations for the circuit given in the handout no 5. Is the matrix T^{-1}G a P_0 matrix for all values of transistor current gains and all positive values of resistors R1, R2, R3, and R4? Why?

    Posted: February 19, 2004
    Due: February 26, 2004.

    Last modified: Tuesday February 24 18:22:37 PST 2004.