| 41. | :Matrix multiplication is performed by using a for loop inside of a for loop, not two foreach loops.
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| 42. | The basic idea comes from the associativity of matrix multiplications, and the errors are used to provide the security.
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| 43. | ;Loop nest optimization : Some pervasive algorithms such as matrix multiplication have very poor cache behavior and excessive memory accesses.
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| 44. | Using that, it follows that addition and composition of matrices obey the usual rules for matrix addition and matrix multiplication.
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| 45. | Moreover, since composition of rotations corresponds to matrix multiplication, the rotation group is isomorphic to the special orthogonal group.
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| 46. | These algorithms based on fast matrix multiplication have also been extended to problems of finding-cliques for larger values of.
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| 47. | The set of all appropriate matrices together with the operation of matrix multiplication is the rotation group SO ( 3 ).
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| 48. | For example, if a subroutine need to perform a matrix multiplication, then the subroutine would have three nested loops.
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| 49. | The Strassen's algorithm, devised by Volker Strassen in 1969 and often referred to as " fast matrix multiplication ".
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| 50. | There exist matrix multiplication algorithms with a complexity of operations, while the best proven lower bound is log ) } }.
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