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- W2050114838 abstract "Wang and Wu characterized matrices which are sums of two square-zero matrices, and proved that every matrix with trace zero is a sum of four square-zero matrices. Moreover, they gave necessary or sufficient conditions for a matrix to be a sum of three square-zero matrices. In particular, they proved that if an n×n matrix A is a sum of three square-zero matrices, the dim ker(A−αI)⩽3n/4 for any scalar α≠0. Proposition 1 shows that this condition is not necessarily sufficient for the matrix A to be a sum of three square-zero matrices, and characterizes sums of three square-zero matrices among matrices with minimal polynomials of degree 2." @default.
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- W2050114838 date "2000-02-01" @default.
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- W2050114838 title "On sums of three square-zero matrices" @default.
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- W2050114838 doi "https://doi.org/10.1016/s0024-3795(99)00239-6" @default.
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