Method and structure for producing high performance linear algebra routines using register block data format routines

A computer, comprising:

• a processor;
• a memory system;
• and
• a co-processing unit with an associated plurality of data registers for data exchange and used as working registers by said co-processing unit,
• wherein said computer is controlled to implement a method of increasing efficiency in executing a processing by said co-processing unit that uses data stored in said memory system in a standard format, said standard format comprising one of a column major format and a row major format, said method comprising:
• for said data stored in said standard format in said memory system, using said processor to separate said data into blocks of data, each data block having a size p-by-q, where p and q are small integers such that said data will be loaded into said data registers in increments of said data blocks;
• and
• using said processor to rearrange and store said data blocks, thereby said data is stored in said memory system in a format different from said standard format.