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[3] [4] Most libraries that offer linear algebra routines conform to the BLAS interface, allowing library users to develop programs that are indifferent to the BLAS library being used. Many BLAS libraries have been developed, targeting various different hardware platforms. Examples includes cuBLAS (NVIDIA GPU, GPGPU), rocBLAS (AMD GPU), and ...
For example, a submatrix taken from rows 2 through 4 and columns 3 through 4 can be written as: >> A ( 2 : 4 , 3 : 4 ) ans = 11 8 7 12 14 1 A square identity matrix of size n can be generated using the function eye , and matrices of any size with zeros or ones can be generated with the functions zeros and ones , respectively.
BASIC (Beginners' All-purpose Symbolic Instruction Code) [1] is a family of general-purpose, high-level programming languages designed for ease of use. The original version was created by John G. Kemeny and Thomas E. Kurtz at Dartmouth College in 1963. They wanted to enable students in non-scientific fields to use computers.
Example: The linear block code with the following generator matrix is a [,,] Hadamard code: = ( ). Hadamard code is a special case of Reed–Muller code . If we take the first column (the all-zero column) out from G H a d {\displaystyle {\boldsymbol {G}}_{\mathrm {Had} }} , we get [ 7 , 3 , 4 ] 2 {\displaystyle [7,3,4]_{2}} simplex code , which ...
If the values of the nonbasic variables are set to 0, then the values of the basic variables are easily obtained as entries in and this solution is a basic feasible solution. The algebraic interpretation here is that the coefficients of the linear equation represented by each row are either 0 {\displaystyle 0} , 1 {\displaystyle 1} , or some ...
The field of numerical analysis predates the invention of modern computers by many centuries. Linear interpolation was already in use more than 2000 years ago. Many great mathematicians of the past were preoccupied by numerical analysis, [5] as is obvious from the names of important algorithms like Newton's method, Lagrange interpolation polynomial, Gaussian elimination, or Euler's method.
(A preface note in “Examples" mentions that the main book was also published in 1985, but the official note in that book says 1986.) Supplemental editions followed with code in Pascal, BASIC, and C. Numerical Recipes took, from the start, an opinionated editorial position at odds with the conventional wisdom of the numerical analysis community:
MATLAB code for the book Archived 2020-10-09 at the Wayback Machine. Bellman, Richard (1954), "The theory of dynamic programming", Bulletin of the American Mathematical Society, 60 (6): 503– 516, doi: 10.1090/S0002-9904-1954-09848-8, MR 0067459. Includes an extensive bibliography of the literature in the area, up to the year 1954.