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The Gram--Schmidt algorithm is a widely used method for orthogonalizing a sequence of vectors. It comes in two forms: classical Gram--Schmidt and modified Gram--Schmidt, each of whose operations can be ordered in ...

Eigentest is a package that produces real test matrices with known eigensystems. A test matrix, called an eigenmat, is generated in a factored form, in which the user can specify the eigenvalues and has some control ...