XBLAS
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Related Items (43)
Mixed precision algorithms in numerical linear algebra ⋮ Ultimately Fast Accurate Summation ⋮ Iterative refinement for symmetric eigenvalue decomposition ⋮ Convergence of Rump's method for inverting arbitrarily ill-conditioned matrices ⋮ Verified Bounds for Least Squares Problems and Underdetermined Linear Systems ⋮ Schur aggregation for linear systems and determinants ⋮ Accurate floating-point summation: a new approach ⋮ Algorithms for accurate, validated and fast polynomial evaluation ⋮ Compensated summation and dot product algorithms for floating-point vectors on parallel architectures: error bounds, implementation and application in the Krylov subspace methods ⋮ Super-fast validated solution of linear systems ⋮ Verified numerical computations for large-scale linear systems. ⋮ Accurate evaluation of a polynomial and its derivative in Bernstein form ⋮ Accurate solution of dense linear systems I: Algorithms in rounding to nearest ⋮ On the numerical stability of algorithmic differentiation ⋮ Matrix computations and polynomial root-finding with preprocessing ⋮ Additive preconditioning and aggregation in matrix computations ⋮ Radial basis function approximation methods with extended precision floating point arithmetic ⋮ Stochastic arithmetic in multiprecision ⋮ Accurate evaluation algorithm for bivariate polynomial in Bernstein-Bézier form ⋮ More accuracy at fixed precision. ⋮ Error-free transformations of matrix multiplication by using fast routines of matrix multiplication and its applications ⋮ Accurate, validated and fast evaluation of elementary symmetric functions and its application ⋮ Accurate quotient-difference algorithm: error analysis, improvements and applications ⋮ Accurate Floating-Point Summation Part II: Sign, K-Fold Faithful and Rounding to Nearest ⋮ Accurate and efficient evaluation of Chebyshev tensor product surface ⋮ Randomized preprocessing of homogeneous linear systems of equations ⋮ Strassen's Algorithm for Tensor Contraction ⋮ Accurate evaluation of a polynomial in Chebyshev form ⋮ Accurate summation, dot product and polynomial evaluation in complex floating point arithmetic ⋮ Accurate Floating-Point Summation Part I: Faithful Rounding ⋮ Computing prime harmonic sums ⋮ Iterative refinement for singular value decomposition based on matrix multiplication ⋮ Efficient scaling for complex division ⋮ Design, implementation and testing of extended and mixed precision BLAS ⋮ Performance and energy consumption of accurate and mixed-precision linear algebra kernels on GPUs ⋮ Efficient Calculations of Faithfully Rounded l 2 -Norms of n -Vectors ⋮ A new error-free floating-point summation algorithm ⋮ Iterative refinement for symmetric eigenvalue decomposition. II. Clustered eigenvalues ⋮ An accurate algorithm for evaluating rational functions ⋮ Accurate evaluation of polynomials in Legendre basis ⋮ PACF: a precision-adjustable computational framework for solving singular values ⋮ Improvement of error-free splitting for accurate matrix multiplication ⋮ Supporting Mixed-domain Mixed-precision Matrix Multiplication within the BLIS Framework
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