New PDF release: Algorithmic Methods in Algebra and Number Theory

By Michael Pohst

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Vi1 · · · vii · · · vin −ei1 · · · −ei j · · · −eim   . .. .. .. ..  .. . . . .  v  n1 · · · vni · · · vnn −en1 · · · −en j · · · −enm  0 ··· 0 ··· 0 0 ··· 0 ··· 0   . .. .. .. ..  . . . . .  .   0 ··· 0 ··· 0 0 ··· 0 ··· 0  . .. .. .. ..  . . .  . . .   0 ··· 0 ··· 0 0 · · · 0 · · · 0   .. .. .. .. ..  . . . . .   0 ··· 1 ··· 0 0 · · · −1 · · · 0  .. .. .. .. .. . . . . .  ··· ..   −1 · · ·   ..   .  ··· 0 ···  ··· 0 ···  ..

1973. The Computation of Economic Equilibria. With the collaboration of T. Hansen. New Haven, CT: Yale University Press. , and J. Whalley. 1972. S. Journal of Public Economics 1: 281–322. Srinivasan, T. , and J. Whalley. 1986. General Equilibrium Trade Policy Modeling. Cambridge, MA/London: MIT Press. , and R. E. Lucas, Jr. 1989. Recursive Methods in Economic Dynamics. With E. C. Prescott. Cambridge, MA: Harvard University Press. Tinbergen, J. 1937. An Econometric Approach to Business Cycle Models.

But now the column and row corresponding to any other good produced in country j will also have a single ±1 in them and can also be removed without changing the value of the determinant of the minor obtained by striking out the first row and column. We have the following crucial observation. Observation: The determinant of the minor obtained by striking out the rows and columns of I (ξ ) for any particular good will be unchanged if we then strike out the rows and columns for all other goods that are produced in any country that produces that particular good.

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Algorithmic Methods in Algebra and Number Theory by Michael Pohst


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