larmm - larmm: scale factor to avoid overflow, step in latrs

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doubleprecisionfunctiondlarmm(doubleprecisionanorm,doubleprecisionbnorm,doubleprecisioncnorm)DLARMMPurpose: DLARMM returns a factor s in (0, 1] such that the linear updates (s * C) - A * (s * B) and (s * C) - (s * A) * B cannot overflow, where A, B, and C are matrices of conforming dimensions. This is an auxiliary routine so there is no argument checking. ParametersANORM ANORM is DOUBLE PRECISION The infinity norm of A. ANORM >= 0. The number of rows of the matrix A. M >= 0. BNORM BNORM is DOUBLE PRECISION The infinity norm of B. BNORM >= 0. CNORM CNORM is DOUBLE PRECISION The infinity norm of C. CNORM >= 0. References: C. C. Kjelgaard Mikkelsen and L. Karlsson, Blocked Algorithms for Robust Solution of Triangular Linear Systems. In: International Conference on Parallel Processing and Applied Mathematics, pages 68--78. Springer, 2017. realfunctionslarmm(realanorm,realbnorm,realcnorm)SLARMMPurpose: SLARMM returns a factor s in (0, 1] such that the linear updates (s * C) - A * (s * B) and (s * C) - (s * A) * B cannot overflow, where A, B, and C are matrices of conforming dimensions. This is an auxiliary routine so there is no argument checking. ParametersANORM ANORM is REAL The infinity norm of A. ANORM >= 0. The number of rows of the matrix A. M >= 0. BNORM BNORM is REAL The infinity norm of B. BNORM >= 0. CNORM CNORM is REAL The infinity norm of C. CNORM >= 0. References: C. C. Kjelgaard Mikkelsen and L. Karlsson, Blocked Algorithms for Robust Solution of Triangular Linear Systems. In: International Conference on Parallel Processing and Applied Mathematics, pages 68--78. Springer, 2017.

larmm - larmm: scale factor to avoid overflow, step in latrs

Functions double precision function dlarmm (anorm, bnorm, cnorm) DLARMM real function slarmm (anorm, bnorm, cnorm) SLARMM