Parallel Algorithms for the Quasi-Triangular Generalized Sylvester Matrix Equation on a Shared Memory Multiprocessor
Tài liệu tham khảo
Barnett, 1971
Bartels, 1972, Algorithm 432: The Solution of the Matrix Equation AX-XB=C, Communications of the ACM, Vol. 15, 820, 10.1145/361573.361582
Chu, 1987, The Solution of the Matrix Equations AXBCXD= E and (YA-DZ, YC-BZ)=(E, F), Linear Algebra and its Applications, 93, 10.1016/S0024-3795(87)90314-4
Epton, 1980, Methods for the Solution of AXD-BXC=E and its Application in the Numerical Solution of Implicit Ordinary Differential Equations, BIT 20, 341
Gallivan, 1990, Parallel Algorithms for Dense Linear Algebra Computations, SIAM REVIEW, Vol. 32, 54, 10.1137/1032002
Gardiner, 1991, A Solution of the Sylvester Matrix Equation AXBT +CXDT =E, ACM Trans. Math. Software
Gardiner, 1991, A FORTRAN-77 Software Package for Solving the Sylvester Matrix Equation AXBT +CXDT =E, ACM Trans. Math. Software
Golub, 1979, A Hessenberg Schur Method for the Problem AX+XB=C, IEEE Transactions on Automatic Control, Vol. AC-24, 909, 10.1109/TAC.1979.1102170
Golub, 1990
Hernández, 1989, Explicit Solution of the Matrix Equation AXB-CXD=E, Linear Algebra and its Applications, 333, 10.1016/0024-3795(89)90708-8
Kågström, 1987, Parallel Shared Memory Algorithms for Solving the Triangular Sylvester Equation
Kågström, 1989, Distributed Block Algorithms for the Triangular Sylvester Equation with Condition Estimator, 233
Kågström, 1988, Generalized Schur Methods with Condition Estimators for Solving the Generalized Sylvester Equation, IEEE TFansactions on Automatic Control, Vol. 34, 745, 10.1109/9.29404
Lewis, 1986, A Survey of Linear Singular Systems, Circuit Systems Signal Processing, Vol. 5, 3, 10.1007/BF01600184
Marqués, 1991, Parallel Algorithms for the Quasi Trianguler Stein Matrix Equation on a Shared Memory Multiprocessor
Stewart, 1990