TY - JOUR

T1 - A scalar expression for matrices with symplectic involution

AU - Rowen, Louis Halle

PY - 1978/4

Y1 - 1978/4

N2 - Various algebraic reductions are made to facilitate computer verification of the following result: If x and y are 8X8 matrices such that [x, y] is regular, tr(x) = 0, and, with respect to the canonical symplectic involution, x is symmetric and y is antisymmetric, then the element (x + [x, y[x[x, y]-1)2 satisfies a minimal equation of degree ≤2.

AB - Various algebraic reductions are made to facilitate computer verification of the following result: If x and y are 8X8 matrices such that [x, y] is regular, tr(x) = 0, and, with respect to the canonical symplectic involution, x is symmetric and y is antisymmetric, then the element (x + [x, y[x[x, y]-1)2 satisfies a minimal equation of degree ≤2.

UR - http://www.scopus.com/inward/record.url?scp=84966254701&partnerID=8YFLogxK

U2 - 10.1090/S0025-5718-1978-0480620-5

DO - 10.1090/S0025-5718-1978-0480620-5

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AN - SCOPUS:84966254701

SN - 0025-5718

VL - 32

SP - 607

EP - 613

JO - Mathematics of Computation

JF - Mathematics of Computation

IS - 142

ER -