The matrix analysis functions det, rcond, hess, and expm also show significant increase in speed on large double-precision arrays. The matrix multiply (X*Y) and matrix power (X^p) operators show significant increase in speed on large double-precision arrays (on order of 10,000 elements). ans x + y1i, y + x1i x - y1i, y - x1i For a matrix of complex numbers with nonzero imaginary parts, the nonconjugate transform is not equal to the complex conjugate. provides guaranteed satisfaction with a commitment to complete the work within time. The signs of the imaginary parts are unchanged. B contains the same elements as A, except the rows and columns are interchanged. ![]() transpose is defined for 1-D and 2-D arrays. Create a matrix containing complex elements and compute its nonconjugate transpose. That is, it does not change the sign of the imaginary parts of the elements. Quaternion array to transpose, specified as a vector or matrix of quaternions. As a general rule, complicated functions speed up more than simple functions. The nonconjugate transpose operator, A.', performs a transpose without conjugation. The operation is not memory-bound processing time is not dominated by memory access time. For example, most functions speed up only when the array contains several thousand elements or more. The data size is large enough so that any advantages of concurrent execution outweigh the time required to partition the data and manage separate execution threads. They should require few sequential operations. The transpose operation changes a column vector into a row vector and vice versa. These sections must be able to execute with little communication between processes. The function performs operations that easily partition into sections that execute concurrently.
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