Results 221 to 230 of about 1,573,587 (265)

Accurate solutions of M-matrix Sylvester equations

Numerische Mathematik, 2011
The authors present a relative perturbation theory for an \(M\)-matrix Sylvester equation (MSE). Specifically, the MSE is meant by the matrix equation \(AX + XB = C\) where \(A\) and \(B\) have positive diagonal entries and nonpositive off-diagonal entries; \(P = I_m \otimes A + B^T \otimes I_n\) is a nonsingular \(M\)-matrix; and \(C\) is entry-wise ...
Xue, Jungong, Xu, Shufang, Li, Ren-Cang
openaire   +1 more source

Accurate solutions of M-matrix algebraic Riccati equations

Numerische Mathematik, 2011
This paper is concerned with the relative perturbation theory and its entrywise relatively accurate numerical solutions of an Riccati equation \(XDX-AX-B+C=0\), where the block-matrix \([{B\atop -C}{-D\atop A}]\) is a nonsingular or an irreducible singular \(M\)-matrix. Such Riccati equation has a unique nonnegative solution.
Xue, Jungong, Xu, Shufang, Li, Ren-Cang
openaire   +2 more sources

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