Quasi-optimal Multiplication of Linear Differential Operators
暂无分享,去创建一个
[1] Don Coppersmith,et al. Matrix multiplication via arithmetic progressions , 1987, STOC.
[2] Erich Kaltofen,et al. On fast multiplication of polynomials over arbitrary algebras , 1991, Acta Informatica.
[3] Michael Clausen,et al. Algebraic complexity theory , 1997, Grundlehren der mathematischen Wissenschaften.
[4] R. Gregory Taylor,et al. Modern computer algebra , 2002, SIGA.
[5] Victor Y. Pan,et al. How to Multiply Matrices Faster , 1984, Lecture Notes in Computer Science.
[6] V. Pan,et al. Polynomial and Matrix Computations , 1994, Progress in Theoretical Computer Science.
[7] O. Ore. Theory of Non-Commutative Polynomials , 1933 .
[8] Alfred V. Aho,et al. Evaluating Polynomials at Fixed Sets of Points , 1975, SIAM J. Comput..
[9] Arnold Schönhage,et al. Schnelle Multiplikation großer Zahlen , 1971, Computing.
[10] Robert T. Moenck. Another polynomial homomorphism , 2004, Acta Informatica.
[11] V. Pan. Structured Matrices and Polynomials , 2001 .
[12] Alfred V. Aho,et al. The Design and Analysis of Computer Algorithms , 1974 .
[13] V. Pan,et al. Polynomial and matrix computations (vol. 1): fundamental algorithms , 1994 .
[14] V. Pan. Structured Matrices and Polynomials: Unified Superfast Algorithms , 2001 .
[15] V. Strassen. Gaussian elimination is not optimal , 1969 .
[16] J. Tukey,et al. An algorithm for the machine calculation of complex Fourier series , 1965 .
[17] Aaas News,et al. Book Reviews , 1893, Buffalo Medical and Surgical Journal.
[18] A. J. Stothers. On the complexity of matrix multiplication , 2010 .
[19] Amin Shokrollahi,et al. Matrix-vector product for confluent Cauchy-like matrices with application to confluent rational interpolation , 2000, STOC '00.
[20] Joachim von zur Gathen,et al. Modern Computer Algebra , 1998 .
[21] Ziming Li,et al. Power series solutions of singular (q)-differential equations , 2012, ISSAC.
[22] Virginia Vassilevska Williams,et al. Multiplying matrices faster than coppersmith-winograd , 2012, STOC '12.
[23] Dima Grigoriev,et al. Complexity of Factoring and Calculating the GCD of Linear Ordinary Differential Operators , 1990, J. Symb. Comput..
[24] W. Marsden. I and J , 2012 .
[25] Joris van der Hoeven. FFT-like Multiplication of Linear Differential Operators , 2002, J. Symb. Comput..
[26] Öystein Ore. Formale Theorie der linearen Differentialgleichungen. (Erster Teil). , 1932 .
[27] Nicolas Le Roux,et al. Products of ordinary differential operators by evaluation and interpolation , 2008, ISSAC '08.
[28] Volker Strassen,et al. Algebraic Complexity Theory , 1991, Handbook of Theoretical Computer Science, Volume A: Algorithms and Complexity.
[29] D. Grigor'ev,et al. Complexity of factoring and calculating the GCD of linear ordinary differential operators , 1990 .
[30] Francis Y. L. Chin. A Generalized Asymptotic Upper Bound on Fast Polynomial Evaluation and Interpolation , 1976, SIAM J. Comput..