Abstract: A method for matching first elements with second elements. Each of the first elements and second elements is a character string. The method comprises: calculating a first integer hash value for each of the first elements using a string hash function, wherein the first integer hash value is an output integer calculated from using each of the first elements as an input character string of the function; calculating second integer hash values for each of the second elements using the function; grouping each of the first elements into at least one group of a set of blocking groups using its first integer hash value; grouping each of the second elements into at the least one group of the set of blocking groups using its second integer hash value; and matching first elements with second elements within each group of the set of blocking groups using a string comparison function.

Abstract: Embodiments of the present invention may provide the capability to evaluate logarithm and power (exponentiation) functions using either hardware specific instructions, or a hardware specific implementation with reduced memory requirements. An input comprising a floating point representation of a real number may be received and a mantissa and an exponent may be extracted. A function of a logarithm of a mantissa of the real number may be approximated by utilizing a polynomial based on the mantissa. The approximated function of the logarithm may be combined with the exponent for calculating a value comprising a logarithm of the real number. Likewise, an input comprising a floating point representation of a real number and a representation of a second number may be received and an approximation of the real number to the power of the second number may be generated.

Abstract: Embodiments of the present invention provide methods, computer program products, and systems for solving a linear equation system using a hardware-implemented extended solver, wherein a calculation precision is adapted in each iteration step of a solving process is provided. Embodiments of the present invention can be used to perform on-the-fly interpolations using the data associated with the highest resolution of the three-dimensional finite element voxel model to a lower resolution than the highest resolution as well as to perform solving computations of the solving process in the lower resolution.

Abstract: A method for matching first elements with second elements. Each of the first elements and second elements is a character string. The method comprises: calculating a first integer hash value for each of the first elements using a string hash function, wherein the first integer hash value is an output integer calculated from using each of the first elements as an input character string of the function; calculating second integer hash values for each of the second elements using the function; grouping each of the first elements into at least one group of a set of blocking groups using its first integer hash value; grouping each of the second elements into at the least one group of the set of blocking groups using its second integer hash value; and matching first elements with second elements within each group of the set of blocking groups using a string comparison function.

Abstract: Embodiments of the present invention may provide the capability to evaluate logarithm and power (exponentiation) functions using either hardware specific instructions, or a hardware specific implementation with reduced memory requirements. An input comprising a floating point representation of a real number may be received and a mantissa and an exponent may be extracted. A function of a logarithm of a mantissa of the real number may be approximated by utilizing a polynomial based on the mantissa. The approximated function of the logarithm may be combined with the exponent for calculating a value comprising a logarithm of the real number. Likewise, an input comprising a floating point representation of a real number and a representation of a second number may be received and an approximation of the real number to the power of the second number may be generated.

Abstract: Embodiments of the present invention provide methods, computer program products, and systems for solving a linear equation system using a hardware-implemented extended solver, wherein a calculation precision is adapted in each iteration step of a solving process is provided. Embodiments of the present invention can be used to perform on-the-fly interpolations using the data associated with the highest resolution of the three-dimensional finite element voxel model to a lower resolution than the highest resolution as well as to perform solving computations of the solving process in the lower resolution.