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- W2044938082 abstract "This paper, by purely algebraic and elementary methods, studies useful criteria under which the quadratic forms x′Ax and x′Bx, where A,B are n × n symmetric real matrices and x′=(x1,x2, …,xn)≠(0,0,0,0, …,0), can vanish simultaneously and some real linear combination of A,B can be positive definite. Analogous results for hermitian matrices have also been discussed. We have given sufficient conditions on m real symmetric matrices so that some real linear combination of them can be positive definite." @default.
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- W2044938082 date "1979-06-01" @default.
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- W2044938082 title "Linear combinations of Hermitian and real symmetric matrices" @default.
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- W2044938082 doi "https://doi.org/10.1016/0024-3795(79)90009-0" @default.
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