dataProviderForRefMatrix() as $matrix) { yield $matrix; } foreach ( [ [ [ [2], ], ], [ [ [2, 2], ], ], [ [ [1, 0], [0, 2], ], ], [ [ [2, 0], [0, 1], [0, 0], ], ], [ [ [1, 0], [0, 1], [2, 0], [0, 0], ], ], [ [ [1, 2, -1], [0, 1, 2], [0, 0, 0] ], ], [ [ [1, 2, 0, 0], [0, 0, 3, 0], [0, 0, 0, 1], ], ], [ [ [1, 2, 0, 0], [0, 0, 1, 0], [0, 0, 3, 1], [0, 0, 0, 0], ], ], [ [ [1, 0, 3, 0], [0, 1, 0, 0], [1, 0, 0, 1], ], ], [ [ [1, 0, 4, -3, 4, 5], [0, 1, -2, 2, 0, -3], [0, 0, 0, 0, 1, 4], ], ], [ [ [1, 0, 5, 0, -7], [0, 4, 4, 0, -6], [0, 0, 0, 1, 0], [0, 0, 0, 0, 0], ], ], [ [ [1, 1, 12, -9, 0, 15], [0, 1, -2, 2, 0, -3], [0, 0, 0, 0, 1, 4], ], ], ] as $matrix ) { yield $matrix; } } public function dataProviderForTwoSquareMatrices(): array { return [ [ [ [1, 5], [4, 3], ], [ [5, 6], [2, 1], ], ], [ [ [3, 8, 5], [3, 6, 1], [9, 5, 8], ], [ [5, 3, 8], [6, 4, 5], [1, 8, 9], ], ], [ [ [-4, -2, 9], [3, 14, -6], [3, 9, 9], ], [ [8, 7, 8], [-5, 4, 1], [3, 5, 1], ], ], [ [ [4, 7, 7, 8], [3, 6, 4, 1], [-3, 6, 8, -3], [3, 2, 1, -54], ], [ [3, 2, 6, 7], [4, 3, -6, 2], [12, 14, 14, -6], [4, 6, 4, -42], ], ], [ [ [4, 17,6, 3], [3, -6, 4, 21], [3, 6, 8, -2], [5, 2, 3, 15], ], [ [3, 12, 16, 7], [4, 13, 6, 2], [2, 4, 14, -6], [14, 3, 4, 52], ], ], ]; } public function dataProviderForThreeMatrices(): array { return [ [ [ [1], ], [ [2], ], [ [3], ], ], [ [ [1, 5, 3], [3, 6, 3], [6, 7, 8], ], [ [6, 9, 9], [3, 5, 1], [3, 5, 12], ], [ [7, 9, 6], [1, 9, 1], [10, 12, 4], ], ], [ [ [12, 21, 6], [-3, 11, -6], [3, 6, -3], ], [ [3, 7, 8], [4, 4, 2], [6, -4, 1], ], [ [-1, -1, -5], [8, 15, 15], [8, 6, -12], ], ], [ [ [1, 2], [0, -1], ], [ [0, -1], [1, 1], ], [ [2, 8], [2, 1], ], ], [ [ [1, 5, 3], [3, 6, 3], [6, 7, 8], ], [ [6, 9, 9], [3, 5, 1], [3, 5, 12], ], [ [6, 4, 9], [12, 3, -1], [10, 2, 15], ], ], [ [ [12, 21, 6], [-3, 11, -6], [3, 6, -3], ], [ [3, 7, 8], [4, 4, 2], [6, -4, 1], ], [ [1, 1, 5], [3, 4, 9], [3, 16, -2], ], ], [ [ [1, 2, 3, 4, 5], [2, 3, 4, 5, 6], [4, 5, 6, 7, 8], [6, 5, 4, 5, 7], ], [ [1, 2, 5, 5, 6], [2, 3, 5, 5, 6], [5, 4, 5, 5, 6], [3, 2, 5, 5, 6], ], [ [5, 5, 7, 8, 9], [4, 4, 7, 8, 9], [7, 6, 7, 6, 7], [9, 9, 9, 0, 0], ] ], ]; } /** * @return array [A, B, C, D] */ public function dataProviderForFourMatrices(): array { return [ [ [ [1], ], [ [2], ], [ [3], ], [ [4], ], ], [ [ [1, 5, 3], [3, 6, 3], [6, 7, 8], ], [ [6, 9, 9], [3, 5, 1], [3, 5, 12], ], [ [7, 9, 6], [1, 9, 1], [10, 12, 4], ], [ [3, 5, 3], [4, 6, 1], [5, 7, 8], ], ], [ [ [12, 21, 6], [-3, 11, -6], [3, 6, -3], ], [ [3, 7, 8], [4, 4, 2], [6, -4, 1], ], [ [-1, -1, -5], [8, 15, 15], [8, 6, -12], ], [ [1, 2, 3], [2, 2, 2], [4, 3, 2], ] ], [ [ [1, 2], [0, -1], ], [ [0, -1], [1, 1], ], [ [2, 8], [2, 1], ], [ [1, 4], [3, 5], ], ], [ [ [1, 5, 3], [3, 6, 3], [6, 7, 8], ], [ [6, 9, 9], [3, 5, 1], [3, 5, 12], ], [ [6, 4, 9], [12, 3, -1], [10, 2, 15], ], [ [1, 3, 3], [6, 6, 3], [2, 3, 9], ], ], [ [ [12, 21, 6], [-3, 11, -6], [3, 6, -3], ], [ [3, 7, 8], [4, 4, 2], [6, -4, 1], ], [ [1, 1, 5], [3, 4, 9], [3, 16, -2], ], [ [3, 4, 8], [-4, -4, 2], [6, 4, 2], ], ], [ [ [1, 2, 3, 4], [2, 3, 4, 5], [4, 5, 6, 7], [6, 5, 4, 5], ], [ [1, 2, 5, 5], [2, 3, 5, 5], [5, 4, 5, 5], [3, 2, 5, 5], ], [ [5, 5, 7, 8], [4, 4, 7, 8], [7, 6, 7, 6], [9, 9, 9, 0], ], [ [1, -2, 3, 4], [2, -3, 4, 9], [4, -5, 6, 8], [6, -5, 4, 5], ], ], ]; } /** * Solving a system of linear equations * @return array [A, b, x, zeros] */ public function dataProviderForSolve(): array { return [ [ [ [3, 4], [2, -1], ], [5, 7], [3, -1], [0, 0], ], [ [ [3, 1], [2, -1], ], [5, 0], [1, 2], [0, 0], ], [ [ [3, 4], [5, 3], ], [-2, 4], [2, -2], [0, 0], ], [ [ [1, 0, 0], [0, 1, 0], [0, 0, 1], ], [2, 3, -4], [2, 3, -4], [0, 0, 0], ], [ [ [1, 1, -1], [3, 1, 1], [1, -1, 4], ], [1, 9, 8], [3, -1, 1], [0, 0, 0], ], [ [ [2, 4, 1], [4, -10, 2], [1, 2, 4], ], [5, -8, 13], [-1, 1, 3], [0, 0, 0], ], [ [ [1, 1, 1], [0, 2, 5], [2, 5, -1], ], [6, -4, 27], [5, 3, -2], [0, 0, 0], ], [ [ [1, 2, 3], [2, -1, 1], [3, 0, -1], ], [9, 8, 3], [2, -1, 3], [0, 0, 0], ], [ [ [2, 1, -3], [4, -2, 1], [3, 5, -2], ], [-4, 9, 5], [2, 1, 3], [0, 0, 0], ], [ [ [4, 9, 0], [8, 0, 6], [0, 6, 6], ], [8, -1, -1], [1 / 2, 2 / 3, -5 / 6], [0, 0, 0], ], [ [ [1, 1, 1], [1, -2, 2], [1, 2, -1], ], [0, 4, 2], [4, -2, -2], [0, 0, 0], ], [ [ [3, 3, 4], [3, 5, 9], [5, 9, 17], ], [1, 2, 4], [1, -2, 1], [0, 0, 0], ], [ [ [2, 1, 1], [-1, 1, -1], [1, 2, 3], ], [2, 3, -10], [3, 1, -5], [0, 0, 0], ], [ [ [4, 2, -1, 3], [3, -4, 2, 5], [-2, 6, -5, -2], [5, 1, 6, -3], ], [16.9, -14, 25, 9.4], [4.5, 1.6, -3.8, -2.7], [0, 0, 0, 0], ], [ [ [4, 2, -1, 3], [3, -4, 2, 5], [-2, 6, -5, -2], [5, 1, 6, -3], ], [-12, 34, 27, -19], [-101.485, 101.242, 115.727, 102.394], [0, 0, 0, 0], ], [ [ [ 4, 1, 2, -3], [-3, 3, -1, 4], [-1, 2, 5, 1], [ 5, 4, 3, -1], ], [-16, 20, -4, -10], [-1, 1, -2, 3], [0, 0, 0, 0], ], [ [ [ 4, 1, 2, -3, 5], [-3, 3, -1, 4, -2], [-1, 2, 5, 1, 3], [ 5, 4, 3, -1, 2], [ 1, -2, 3, -4, 5], ], [-16, 20, -4, -10, 3], [-15.354, 15.813, -1.770, -22.148, -6.660], [0, 0, 0, 0, 0], ], [ [ [1, 1, -2, 1, 3, -1], [2, -1, 1, 2, 1, -3], [1, 3, -3, -1, 2, 1], [5, 2, -1, -1, 2, 1], [-3, -1, 2, 3, 1, 3], [4, 3, 1, -6, -3, -2], ], [4, 20, -15, -3, 16, -27], [1, -2, 3, 4, 2, -1], [0, 0, 0, 0, 0, 0], ], ]; } public function dataProviderForTwoPositiveDefiniteMatrices(): array { return [ [ [ [2, -1], [-1, 2], ], [ [1, -1], [-1, 4], ], ], [ [ [5, 2], [2, 3], ], [ [6, 4], [4, 5], ], ], [ [ [12, -12], [-12, 96], ], [ [6, 4], [4, 5], ], ], [ [ [2, -1, 0], [-1, 2, -1], [0, -1, 2], ], [ [2, -1, 1], [-1, 2, -1], [1, -1, 2], ], ], [ [ [1, 0, 0], [0, 3, 0], [0, 0, 2], ], [ [3, -2, 0], [-2, 2, 0], [0, 0, 2], ], ], [ [ [4, 1, -1], [1, 2, 1], [-1, 1, 2], ], [ [3, -2, 0], [-2, 2, 0], [0, 0, 2], ], ], [ [ [14, 4, 9], [4, 14, -7], [9, -7, 14], ], [ [13, 0, -3], [0, 9, 9], [-3, 9, 10], ], ], [ [ [14, -7, -13], [-7, 6, 5], [-13, 5, 14], ], [ [13, 0, -3], [0, 9, 9], [-3, 9, 10], ], ], ]; } public function dataProviderForIdempotentMatrix(): array { return [ [ [ [1, 0], [0, 1], ], ], [ [ [3, -6], [1, -2], ], ], [ [ [1, 0, 0], [0, 0, 0], [0, 0, 1], ], ], [ [ [2, -2, -4], [-1, 3, 4], [1, -2, -3], ], ], ]; } public function dataProviderForNotIdempotentMatrix(): array { return [ [ [ [0, 1], ], ], [ [ [3, 6], [1, 2], ], ], [ [ [2, 2, 4], [1, 3, 4], [1, 2, 3], ], ], ]; } public function dataProviderForNilpotentMatrix(): array { return [ [ [ [0], ], ], [ [ [0, 0], [1, 0], ], ], [ [ [0, 1], [0, 0], ], ], [ [ [2, -1], [4, -2], ], ], [ [ [0, 5, 2], [0, 0, 3], [0, 0, 0], ], ], [ [ [5, -3, 2], [15, -9, 6], [10, -6, 4], ], ], [ [ [5, 5, 5], [6, 6, 6], [-11, -11, -11], ], ], [ [ [2, 2, -2], [5, 1, -3], [1, 5, -3], ], ], [ [ [0, 2, 1, 6], [0, 0, 1, 2], [0, 0, 0, 3], [0, 0, 0, 0], ], ], [ [ [1, 1, 1, 1], [2, 2, 2, 2], [4, 4, 4, 4], [-7, -7, -7, -7], ], ], [ [ [2, 2, 2, -3], [6, 1, 1, -4], [1, 6, 1, -4], [1, 1, 6, -4], ], ], [ [ [2, 2, 2, 2, -4], [7, 1, 1, 1, -5], [1, 7, 1, 1, -5], [1, 1, 7, 1, -5], [1, 1, 1, 7, -5], ], ], ]; } public function dataProviderForNotNilpotentMatrix(): array { return [ [ [ [0, 1], ], ], [ [ [0, 1], [1, 0], ], ], [ [ [1, 2], [0, -1], ], ], [ [ [1, 2], [1, -1], ], ], [ [ [1, 2, 3], [4, 5, 6], [7, 8, 9], ], ], [ [ [1, 1, -1], [-1, 1, -1], [1, 1, -2], ], ], [ [ [2, 2, 2, 2, -4], [7, 1, 1, 1, -5], [1, 7, 1, 1, -5], [1, 1, 7, 1, -5], [0, 1, 1, 7, -5], ], ], ]; } public function dataProviderForInvolutoryMatrix(): array { return [ [ [ [1], ], ], [ [ [1, 0], [0, 1], ], ], [ [ [1, 0, 0], [0, 1, 0], [0, 0, 1], ], ], [ [ [1, 0, 0], [0, 0, 1], [0, 1, 0], ], ], [ [ [1, 0, 0], [0, -1, 0], [0, 0, -1], ], ], ]; } public function dataProviderForNotInvolutoryMatrix(): array { return [ [ [ [1, 0], [4, 1], ], ], [ [ [1, 0, 0], [0, 1, 0], [0, 0, 3], ], ], [ [ [1, 1, 0], [0, 0, 1], [0, 1, 0], ], ], [ [ [1, 0, -6], [0, -2, 0], [0, 0, -1], ], ], ]; } public function dataProviderForSignatureMatrix(): array { return [ [ [ [1], ], ], [ [ [-1], ], ], [ [ [1, 0], [0, 1], ], ], [ [ [-1, 0], [0, 1], ], ], [ [ [1, 0], [0, -1], ], ], [ [ [-1, 0], [0, -1], ], ], [ [ [1, 0, 0], [0, 1, 0], [0, 0, 1], ], ], [ [ [-1, 0, 0], [0, 1, 0], [0, 0, 1], ], ], [ [ [1, 0, 0], [0, -1, 0], [0, 0, 1], ], ], [ [ [1, 0, 0], [0, 1, 0], [0, 0, -1], ], ], [ [ [-1, 0, 0], [0, -1, 0], [0, 0, 1], ], ], [ [ [1, 0, 0], [0, -1, 0], [0, 0, -1], ], ], [ [ [-1, 0, 0], [0, 1, 0], [0, 0, -1], ], ], [ [ [-1, 0, 0], [0, -1, 0], [0, 0, -1], ], ], ]; } public function dataProviderForNotSignatureMatrix(): array { return [ [ [ [2], ], ], [ [ [-3], ], ], [ [ [2, 0], [0, 1], ], ], [ [ [-2, 0], [0, 1], ], ], [ [ [1, 1], [0, -1], ], ], [ [ [-1, 0], [-1, -1], ], ], [ [ [1, 0, 0], [0, 1, 0], [0, 0, 5], ], ], [ [ [-1, 0, 0], [0, 4, 0], [0, 0, 1], ], ], [ [ [1, 3, 0], [0, -1, 0], [0, 0, 1], ], ], [ [ [1, 0, 0], [0, 1, 0], [10, 0, -1], ], ], [ [ [-1, 0, 0], [0, -1, 0], [0, -4, 1], ], ], [ [ [1, 0, 0], [0, 0, 0], [0, 0, -1], ], ], [ [ [1, 2, 3], [0, 1, 0], [0, 0, -1], ], ], [ [ [-1, 0, 5], [0, -1, 6], [0, 0, -7], ], ], ]; } /** * @return array [n, matrix] */ public function dataProviderForHilbertMatrix(): array { return [ [ 1, [ [1], ], ], [ 2, [ [1, 1 / 2], [1 / 2, 1 / 3], ], ], [ 3, [ [1, 1 / 2, 1 / 3], [1 / 2, 1 / 3, 1 / 4], [1 / 3, 1 / 4, 1 / 5], ], ], [ 4, [ [1, 1 / 2, 1 / 3, 1 / 4], [1 / 2, 1 / 3, 1 / 4, 1 / 5], [1 / 3, 1 / 4, 1 / 5, 1 / 6], [1 / 4, 1 / 5, 1 / 6, 1 / 7] ], ], [ 5, [ [1, 1 / 2, 1 / 3, 1 / 4, 1 / 5], [1 / 2, 1 / 3, 1 / 4, 1 / 5, 1 / 6], [1 / 3, 1 / 4, 1 / 5, 1 / 6, 1 / 7], [1 / 4, 1 / 5, 1 / 6, 1 / 7, 1 / 8], [1 / 5, 1 / 6, 1 / 7, 1 / 8, 1 / 9], ], ], ]; } public function dataProviderForUpperBidiagonalMatrix(): array { return [ [ [ [1], ], ], [ [ [0], ], ], [ [ [1, 1], [0, 1], ], ], [ [ [-5, 4], [0, 3], ], ], [ [ [1, 1, 0], [0, 1, 1], [0, 0, 1], ], ], [ [ [1, 0, 0], [0, 1, 0], [0, 0, 1], ], ], [ [ [0, 0, 0], [0, 1, 0], [0, 0, 1], ], ], [ [ [0, 0, 0], [0, 0, 0], [0, 0, 0], ], ], [ [ [1, 1, 0, 0], [0, 1, 1, 0], [0, 0, 1, 1], [0, 0, 0, 1], ], ], [ [ [1, 1, 0, 0, 0], [0, 1, 1, 0, 0], [0, 0, 1, 1, 0], [0, 0, 0, 1, 1], [0, 0, 0, 0, 1], ], ], [ [ [1, 3, 0, 0, 0], [0, 2, 4, 0, 0], [0, 0, 3, 5, 0], [0, 0, 0, 4, 6], [0, 0, 0, 0, -6], ], ], [ [ [-1, 4, 0, 0, 0, 0], [0, 2, -5, 0, 0, 0], [0, 0, 3, -4, 0, 0], [0, 0, 0, 4, 3, 0], [0, 0, 0, 0, 5, -1], [0, 0, 0, 0, 0, 6], ], ], [ [ [1, 6, 0, 0, 0, 0], [0, 2, 5, 0, 0, 0], [0, 0, 3, 4, 0, 0], [0, 0, 0, 4, 3, 0], [0, 0, 0, 0, 5, 2], [0, 0, 0, 0, 0, 6], ], ], [ [ [1, 5, 0, 0, 0, 0], [0, 2, 4, 0, 0, 0], [0, 0, 4, 3, 0, 0], [0, 0, 0, 4, 3, 0], [0, 0, 0, 0, 5, 4], [0, 0, 0, 0, 0, 5], ], ], ]; } public function dataProviderForNotUpperBidiagonalMatrix(): array { return [ [ [ [1, 0], [1, 1], ], ], [ [ [-5, 0], [5, 3], ], ], [ [ [1, 1, 1], [0, 1, 1], [0, 0, 1], ], ], [ [ [1, 0, 0], [1, 1, 0], [0, 1, 1], ], ], [ [ [1, 0, 0, 0], [1, 1, 0, 0], [0, 1, 1, 0], [0, 0, 1, 1], ], ], [ [ [1, 0, 0, 0], [1, 1, 0, 0], [1, 1, 1, 0], [0, 0, 1, 1], ], ], [ [ [1, 0, 0, 0], [1, 1, 0, 0], [0, 1, 1, 0], [0, 1, 1, 1], ], ], [ [ [1, 0, 0, 0], [1, 1, 0, 0], [0, 1, 1, 0], [1, 0, 1, 1], ], ], [ [ [1, 0, 0, 0], [1, 1, 0, 0], [1, 1, 1, 0], [1, 1, 1, 1], ], ], [ [ [1, 1, 0, 0], [1, 1, 0, 0], [0, 1, 1, 0], [0, 0, 1, 1], ], ], [ [ [1, 0, 0, 0], [1, 1, 1, 0], [0, 1, 1, 0], [0, 0, 1, 1], ], ], [ [ [1, 0, 1, 0], [1, 1, 0, 0], [0, 1, 1, 0], [0, 0, 1, 1], ], ], [ [ [1, 0, 0, 0], [1, 1, 0, 1], [0, 1, 1, 0], [0, 0, 1, 1], ], ], [ [ [1, 0, 1, 1], [1, 1, 0, 1], [0, 1, 1, 1], [0, 0, 1, 1], ], ], [ [ [1, 1, 1, 0], [0, 1, 1, 0], [0, 0, 1, 1], [0, 0, 0, 1], ], ], [ [ [1, 1, 0, 0], [0, 1, 1, 1], [0, 0, 1, 1], [0, 0, 0, 1], ], ], [ [ [1, 1, 0, 1], [0, 1, 1, 0], [0, 0, 1, 1], [0, 0, 0, 1], ], ], [ [ [1, 1, 1, 1], [0, 1, 1, 1], [0, 0, 1, 1], [0, 0, 0, 1], ], ], [ [ [1, 0, 0, 0, 0], [1, 1, 0, 0, 0], [0, 1, 1, 0, 0], [0, 0, 1, 1, 0], [0, 0, 0, 1, 1], ], ], [ [ [1, 0, 0, 0, 0], [3, 2, 0, 0, 0], [0, 4, 3, 0, 0], [0, 0, 5, 4, 0], [0, 0, 0, 6, -6], ], ], [ [ [-1, 0, 0, 0, 0, 0], [6, 2, 0, 0, 0, 0], [0, -5, 3, 0, 0, 0], [0, 0, 4, 4, 0, 0], [0, 0, 0, -2, 5, 0], [0, 0, 0, 0, 1, 6], ], ], [ [ [1, 0, 0, 0, 0, 0], [7, 2, 0, 0, 0, 0], [0, 6, 3, 0, 0, 0], [0, 0, 5, 4, 0, 0], [0, 0, 0, 4, 5, 0], [0, 0, 0, 0, 3, 6], ], ], [ [ [1, 0, 0, 0, 0, 0], [5, 2, 0, 0, 0, 0], [0, -5, 1, 0, 0, 0], [0, 0, 10, 4, 0, 0], [0, 0, 0, 10, 5, 0], [0, 0, 0, 0, 4, 1], ], ], [ [ [1, 0, 0, 4, 0, 6], [5, 2, 0, 0, 4, 1], [0, -5, 1, 0, 0, 0], [0, 0, 10, 4, 0, 0], [7, 0, 0, 10, 5, 0], [7, 0, 0, 0, 4, 1], ], ], [ [ [1, 1, 0, 3], [0, 1, 1, 3], [0, 1, 1, 3], ], ], ]; } public function dataProviderForLowerBidiagonalMatrix(): array { return [ [ [ [1], ], ], [ [ [1, 0], [1, 1], ], ], [ [ [-5, 0], [5, 3], ], ], [ [ [1, 0, 0], [1, 1, 0], [0, 1, 1], ], ], [ [ [1, 0, 0, 0], [1, 1, 0, 0], [0, 1, 1, 0], [0, 0, 1, 1], ], ], [ [ [1, 0, 0, 0, 0], [1, 1, 0, 0, 0], [0, 1, 1, 0, 0], [0, 0, 1, 1, 0], [0, 0, 0, 1, 1], ], ], [ [ [1, 0, 0, 0, 0], [3, 2, 0, 0, 0], [0, 4, 3, 0, 0], [0, 0, 5, 4, 0], [0, 0, 0, 6, -6], ], ], [ [ [-1, 0, 0, 0, 0, 0], [6, 2, 0, 0, 0, 0], [0, -5, 3, 0, 0, 0], [0, 0, 4, 4, 0, 0], [0, 0, 0, -2, 5, 0], [0, 0, 0, 0, 1, 6], ], ], [ [ [1, 0, 0, 0, 0, 0], [7, 2, 0, 0, 0, 0], [0, 6, 3, 0, 0, 0], [0, 0, 5, 4, 0, 0], [0, 0, 0, 4, 5, 0], [0, 0, 0, 0, 3, 6], ], ], [ [ [1, 0, 0, 0, 0, 0], [5, 2, 0, 0, 0, 0], [0, -5, 1, 0, 0, 0], [0, 0, 10, 4, 0, 0], [0, 0, 0, 10, 5, 0], [0, 0, 0, 0, 4, 1], ], ], ]; } public function dataProviderForNotLowerBidiagonalMatrix(): array { return [ [ [ [1, 1], [0, 1], ], ], [ [ [-5, 4], [0, 3], ], ], [ [ [1, 0, 0], [1, 1, 0], [1, 1, 1], ], ], [ [ [1, 1, 0], [1, 1, 1], [0, 1, 1], ], ], [ [ [1, 1, 0], [0, 1, 1], [0, 0, 1], ], ], [ [ [1, 1, 0, 0], [0, 1, 1, 0], [0, 0, 1, 1], [0, 0, 0, 1], ], ], [ [ [1, 1, 0, 0], [1, 1, 1, 0], [0, 1, 1, 1], [0, 0, 1, 1], ], ], [ [ [1, 0, 0, 0], [1, 1, 0, 0], [1, 1, 1, 0], [0, 0, 1, 1], ], ], [ [ [1, 0, 0, 0], [1, 1, 0, 0], [0, 1, 1, 0], [0, 1, 1, 1], ], ], [ [ [1, 0, 0, 0], [1, 1, 0, 0], [0, 1, 1, 0], [1, 0, 1, 1], ], ], [ [ [1, 0, 0, 0], [1, 1, 0, 0], [1, 1, 1, 0], [1, 1, 1, 1], ], ], [ [ [1, 0, 0, 0], [1, 1, 1, 0], [0, 1, 1, 0], [0, 0, 1, 1], ], ], [ [ [1, 0, 0, 1], [1, 1, 0, 0], [0, 1, 1, 0], [0, 0, 1, 1], ], ], [ [ [1, 1, 0, 0, 0], [0, 1, 1, 0, 0], [0, 0, 1, 1, 0], [0, 0, 0, 1, 1], [0, 0, 0, 0, 1], ], ], [ [ [1, 3, 0, 0, 0], [0, 2, 4, 0, 0], [0, 0, 3, 5, 0], [0, 0, 0, 4, 6], [1, 0, 0, 0, -6], ], ], [ [ [-1, 4, 0, 0, 0, 0], [0, 2, -5, 0, 0, 0], [0, 0, 3, -4, 0, 0], [0, 0, 0, 4, 3, 0], [0, 1, 0, 0, 5, -1], [0, 0, 0, 0, 0, 6], ], ], [ [ [1, 6, 0, 0, 0, 0], [5, 2, 5, 0, 0, 0], [0, 5, 3, 4, 0, 0], [0, 0, 5, 4, 3, 0], [0, 0, 0, 5, 5, 2], [0, 0, 0, 0, 5, 6], ], ], [ [ [1, 5, 0, 0, 0, 4], [5, 2, 4, 0, 0, 4], [5, 0, 4, 3, 0, 0], [5, 0, 0, 4, 3, 0], [5, 0, 0, 0, 5, 4], [5, 0, 0, 0, 0, 5], ], ], [ [ [1, 1, 0, 3], [0, 1, 1, 3], [0, 1, 1, 3], ], ], ]; } public function dataProviderForNotBidiagonalMatrix(): array { return [ [ [ [1, 1], [1, 1], ], ], [ [ [-5, 4], [5, 3], ], ], [ [ [1, 1, 0], [0, 1, 1], [0, 1, 1], ], ], [ [ [1, 1, 0, 0], [0, 1, 1, 0], [0, 0, 1, 1], [0, 1, 0, 1], ], ], [ [ [1, 1, 0, 0], [1, 1, 1, 0], [0, 1, 1, 1], [0, 0, 1, 1], ], ], [ [ [1, 1, 0, 0, 0], [0, 1, 1, 0, 0], [0, 0, 1, 1, 0], [0, 0, 1, 1, 1], [0, 0, 0, 0, 1], ], ], [ [ [1, 3, 0, 0, 0], [0, 2, 4, 0, 0], [0, 0, 3, 5, 0], [0, 0, 0, 4, 6], [1, 0, 0, 03, -6], ], ], [ [ [-1, 4, 0, 0, 0, 0], [0, 2, -5, 0, 0, 0], [0, 0, 3, -4, 0, 0], [0, 0, 0, 4, 3, 0], [0, 1, 0, 0, 5, -1], [0, 0, 0, 0, 0, 6], ], ], [ [ [1, 6, 0, 0, 0, 4], [5, 2, 5, 0, 0, 0], [0, 5, 3, 4, 0, 0], [0, 0, 5, 4, 3, 0], [0, 0, 0, 5, 5, 2], [0, 0, 0, 0, 5, 6], ], ], [ [ [1, 5, 0, 0, 0, 4], [5, 2, 4, 0, 0, 4], [5, 0, 4, 3, 0, 0], [5, 0, 0, 4, 3, 0], [5, 0, 0, 0, 5, 4], [5, 0, 0, 0, 0, 5], ], ], [ [ [1, 1, 0, 3], [0, 1, 1, 3], [0, 1, 1, 3], ], ], ]; } public function dataProviderForTridiagonalMatrix(): array { return [ [ [ [1], ], ], [ [ [1, 1], [1, 1], ], ], [ [ [-5, 4], [6, 3], ], ], [ [ [1, 1, 0], [1, 1, 1], [0, 1, 1], ], ], [ [ [1, 1, 0, 0], [1, 1, 1, 0], [0, 1, 1, 1], [0, 0, 1, 1], ], ], [ [ [0, 0, 0, 0], [0, 0, 0, 0], [0, 0, 0, 0], [0, 0, 0, 0], ], ], [ [ [1, 0, 0, 0], [0, 1, 0, 0], [0, 0, 1, 0], [0, 0, 0, 1], ], ], [ [ [0, 1, 0, 0], [1, 0, 1, 0], [0, 1, 0, 1], [0, 0, 1, 0], ], ], [ [ [0, 1, 0, 0], [0, 0, 1, 0], [0, 1, 0, 1], [0, 0, 0, 0], ], ], [ [ [0, 0, 0, 0], [1, 0, 0, 0], [0, 1, 0, 0], [0, 0, 1, 0], ], ], [ [ [1, 1, 0, 0], [1, 0, 1, 0], [0, 1, 1, 1], [0, 0, 1, 1], ], ], [ [ [1, 1, 0, 0, 0], [1, 1, 1, 0, 0], [0, 1, 1, 1, 0], [0, 0, 1, 1, 1], [0, 0, 0, 1, 1], ], ], [ [ [1, 3, 0, 0, 0], [3, 2, 4, 0, 0], [0, 5, 3, 5, 0], [0, 0, 5, 4, 6], [0, 0, 0, 3, -6], ], ], [ [ [-1, 4, 0, 0, 0, 0], [5, 2, -5, 0, 0, 0], [0, -6, 3, -4, 0, 0], [0, 0, 4, 4, 3, 0], [0, 0, 0, 3, 5, -1], [0, 0, 0, 0, 1, 6], ], ], [ [ [1, 6, 0, 0, 0, 0], [6, 2, 5, 0, 0, 0], [0, 5, 3, 4, 0, 0], [0, 0, 5, 4, 3, 0], [0, 0, 0, 6, 5, 2], [0, 0, 0, 0, 2, 6], ], ], [ [ [1, 5, 0, 0, 0, 0], [5, 2, 4, 0, 0, 0], [0, 4, 4, 3, 0, 0], [0, 0, 3, 4, 3, 0], [0, 0, 0, 2, 5, 4], [0, 0, 0, 0, 3, 5], ], ], ]; } public function dataProviderForNotTridiagonalMatrix(): array { return [ [ [ [1, 1, 1], [0, 1, 1], [0, 0, 1], ], ], [ [ [1, 1, 1, 0], [0, 1, 1, 0], [0, 0, 1, 0], ], ], [ [ [1, 1, 1], [0, 1, 1], [0, 0, 1], [0, 0, 0], ], ], [ [ [1, 0, 0, 0], [1, 1, 0, 0], [1, 1, 1, 0], [1, 1, 1, 1], ], ], [ [ [1, 1, 1, 1], [1, 1, 1, 1], [0, 1, 1, 1], [0, 0, 1, 1], ], ], [ [ [1, 0, 1, 0], [1, 1, 1, 0], [0, 1, 1, 1], [0, 0, 1, 1], ], ], [ [ [1, 1, 0, 0], [1, 1, 1, 0], [0, 1, 1, 1], [1, 0, 1, 0], ], ], [ [ [1, 1, 0, 0], [1, 1, 1, 0], [1, 1, 1, 1], [0, 0, 0, 1], ], ], [ [ [1, 1, 0, 0], [1, 1, 1, 1], [0, 1, 0, 1], [0, 0, 1, 1], ], ], [ [ [1, 1, 1, 1], [1, 1, 1, 0], [0, 0, 1, 1], [0, 0, 1, 1], ], ], [ [ [1, 1, 1, 0], [1, 1, 1, 0], [0, 1, 1, 1], [0, 0, 1, 1], ], ], [ [ [1, 1, 0, 0], [1, 1, 1, 1], [0, 1, 1, 1], [0, 1, 1, 1], ], ], [ [ [1, 1, 0, 1], [1, 1, 1, 0], [0, 1, 1, 1], [1, 0, 1, 1], ], ], [ [ [1, 1, 0, 0], [1, 1, 1, 0], [1, 1, 1, 1], [0, 0, 1, 1], ], ], [ [ [1, 1, 1, 1], [1, 1, 1, 0], [1, 1, 1, 1], [1, 1, 1, 1], ], ], [ [ [1, 1, 0, 0], [1, 1, 1, 0], [0, 1, 1, 1], [1, 0, 1, 1], ], ], [ [ [1, 2, 3, 0, 0], [0, 1, 2, 3, 0], [0, 0, 1, 2, 3], [0, 0, 0, 1, 2], [0, 0, 0, 0, 1], ], ], [ [ [1, 0, 5, 0, 0, 0], [0, 1, 0, 0, 0, 0], [0, 0, 1, 0, 0, 0], [0, 0, 0, 1, 0, 0], [0, 0, 0, 0, 1, 0], [0, 0, 0, 0, 0, 1], ], ], [ [ [1, 1, 0, 0, 0, 0, 0], [1, 1, 1, 0, 0, 0, 5], [0, 1, 1, 1, 0, 0, 0], [0, 0, 1, 1, 1, 0, 0], [0, 0, 0, 1, 1, 1, 0], [0, 0, 0, 0, 1, 1, 1], [0, 0, 0, 0, 0, 1, 1], ], ], [ [ [0, 1, 0, 0, 0, 0, 0, 0], [1, 0, 1, 0, 0, 0, 0, 0], [0, 1, 0, 1, 0, 0, 0, 0], [0, 0, 1, 0, 1, 0, 0, 0], [0, 0, 0, 1, 0, 1, 0, 0], [0, 0, 0, 0, 1, 0, 1, 0], [0, 0, 3, 0, 0, 1, 0, 1], [0, 0, 0, 0, 0, 0, 1, 0], ], ], ]; } public function dataProviderForUpperHessenbergMatrix(): array { return [ [ [ [1], ], ], [ [ [1, 0], [0, 1], ], ], [ [ [1, 1], [1, 1], ], ], [ [ [-5, 1], [0, 3], ], ], [ [ [1, 0, 0], [1, 1, 0], [0, 1, 1], ], ], [ [ [1, 0, 0, 0], [1, 1, 0, 0], [0, 1, 1, 0], [0, 0, 1, 1], ], ], [ [ [1, 1, 0, 0], [1, 1, 1, 0], [0, 1, 1, 1], [0, 0, 1, 1], ], ], [ [ [1, 1, 1, 0], [1, 1, 1, 1], [0, 1, 1, 1], [0, 0, 1, 1], ], ], [ [ [1, 1, 1, 1], [1, 1, 1, 1], [0, 1, 1, 1], [0, 0, 1, 1], ], ], [ [ [1, 0, 0, 0, 0], [1, 1, 0, 0, 0], [0, 1, 1, 0, 0], [0, 0, 1, 1, 0], [0, 0, 0, 1, 1], ], ], [ [ [1, 0, 0, 0, 0], [3, 2, 0, 0, 0], [0, 4, 3, 0, 0], [0, 0, 5, 4, 0], [0, 0, 0, 6, -6], ], ], [ [ [-1, 0, 0, 0, 0, 0], [6, 2, 0, 0, 0, 0], [0, -5, 3, 0, 0, 0], [0, 0, 4, 4, 0, 0], [0, 0, 0, -2, 5, 0], [0, 0, 0, 0, 1, 6], ], ], [ [ [1, 0, 0, 0, 0, 0], [7, 2, 0, 0, 0, 0], [0, 6, 3, 0, 0, 0], [0, 0, 5, 4, 0, 0], [0, 0, 0, 4, 5, 0], [0, 0, 0, 0, 3, 6], ], ], [ [ [1, 0, 0, 0, 0, 0], [5, 2, 0, 0, 0, 0], [0, -5, 1, 0, 0, 0], [0, 0, 10, 4, 0, 0], [0, 0, 0, 10, 5, 0], [0, 0, 0, 0, 4, 1], ], ], ]; } public function dataProviderForNotUpperHessenbergMatrix(): array { return [ [ [ [1, 0, 0, 0], [1, 1, 0, 0], [1, 1, 1, 0], ], ], [ [ [1, 0, 0], [1, 1, 0], [1, 1, 1], [0, 0, 0], ], ], [ [ [1, 0, 0], [1, 1, 0], [1, 1, 1], ], ], [ [ [1, 0, 0, 0], [1, 1, 0, 0], [0, 1, 1, 0], [1, 0, 1, 1], ], ], [ [ [1, 1, 0, 0], [1, 1, 1, 0], [1, 1, 1, 1], [0, 0, 1, 1], ], ], [ [ [1, 1, 1, 0], [1, 1, 1, 1], [0, 1, 1, 1], [0, 1, 1, 1], ], ], [ [ [1, 1, 1, 1], [1, 1, 1, 1], [1, 1, 1, 1], [1, 1, 1, 1], ], ], [ [ [1, 0, 0, 0, 0], [1, 1, 0, 0, 0], [0, 1, 1, 0, 0], [0, 0, 1, 1, 0], [0, 1, 0, 1, 1], ], ], [ [ [1, 0, 0, 0, 0], [3, 2, 0, 0, 0], [0, 4, 3, 0, 0], [1, 0, 5, 4, 0], [0, 0, 0, 6, -6], ], ], [ [ [-1, 0, 0, 0, 0, 0], [6, 2, 0, 0, 0, 0], [0, -5, 3, 0, 0, 0], [0, 0, 4, 4, 0, 0], [0, 0, 0, -2, 5, 0], [1, 0, 0, 0, 1, 6], ], ], [ [ [1, 0, 0, 0, 0, 0], [7, 2, 0, 0, 0, 0], [0, 6, 3, 0, 0, 0], [0, 0, 5, 4, 0, 0], [0, 0, 0, 4, 5, 0], [0, 0, 0, 1, 3, 6], ], ], [ [ [1, 0, 0, 0, 0, 0], [5, 2, 0, 0, 0, 0], [0, -5, 1, 0, 0, 0], [0, 1, 10, 4, 0, 0], [0, 0, 0, 10, 5, 0], [0, 0, 0, 0, 4, 1], ], ], ]; } public function dataProviderForIdentityMatrix(): array { return [ [ [ [1], ], ], [ [ [1, 0], [0, 1], ], ], [ [ [1, 0, 0], [0, 1, 0], [0, 0, 1], ], ], [ [ [1, 0, 0, 0], [0, 1, 0, 0], [0, 0, 1, 0], [0, 0, 0, 1], ], ], [ [ [1, 0, 0, 0, 0], [0, 1, 0, 0, 0], [0, 0, 1, 0, 0], [0, 0, 0, 1, 0], [0, 0, 0, 0, 1], ], ], [ [ [1, 0, 0, 0, 0, 0], [0, 1, 0, 0, 0, 0], [0, 0, 1, 0, 0, 0], [0, 0, 0, 1, 0, 0], [0, 0, 0, 0, 1, 0], [0, 0, 0, 0, 0, 1], ], ], [ [ [1, 0, 0, 0, 0, 0, 0], [0, 1, 0, 0, 0, 0, 0], [0, 0, 1, 0, 0, 0, 0], [0, 0, 0, 1, 0, 0, 0], [0, 0, 0, 0, 1, 0, 0], [0, 0, 0, 0, 0, 1, 0], [0, 0, 0, 0, 0, 0, 1], ], ], [ [ [1, 0, 0, 0, 0, 0, 0, 0], [0, 1, 0, 0, 0, 0, 0, 0], [0, 0, 1, 0, 0, 0, 0, 0], [0, 0, 0, 1, 0, 0, 0, 0], [0, 0, 0, 0, 1, 0, 0, 0], [0, 0, 0, 0, 0, 1, 0, 0], [0, 0, 0, 0, 0, 0, 1, 0], [0, 0, 0, 0, 0, 0, 0, 1], ], ], ]; } public function dataProviderForLowerHessenbergMatrix(): array { return [ [ [ [1], ], ], [ [ [0], ], ], [ [ [1, 1], [1, 1], ], ], [ [ [-5, 4], [5, 3], ], ], [ [ [1, 1, 0], [0, 1, 1], [0, 0, 1], ], ], [ [ [1, 1, 0], [1, 1, 1], [1, 1, 1], ], ], [ [ [1, 0, 0], [0, 1, 0], [0, 0, 1], ], ], [ [ [0, 0, 0], [0, 1, 0], [0, 0, 1], ], ], [ [ [0, 0, 0], [0, 0, 0], [0, 0, 0], ], ], [ [ [1, 1, 0, 0], [0, 1, 1, 0], [0, 0, 1, 1], [0, 0, 0, 1], ], ], [ [ [1, 1, 0, 0, 0], [0, 1, 1, 0, 0], [0, 0, 1, 1, 0], [0, 0, 0, 1, 1], [0, 0, 0, 0, 1], ], ], [ [ [1, 1, 0, 0, 0], [1, 1, 1, 0, 0], [0, 1, 1, 1, 0], [0, 0, 1, 1, 1], [0, 0, 0, 1, 1], ], ], [ [ [1, 1, 0, 0, 0], [1, 1, 1, 0, 0], [1, 1, 1, 1, 0], [0, 1, 1, 1, 1], [0, 0, 1, 1, 1], ], ], [ [ [1, 1, 0, 0, 0], [1, 1, 1, 0, 0], [1, 1, 1, 1, 0], [1, 1, 1, 1, 1], [1, 1, 1, 1, 1], ], ], [ [ [1, 3, 0, 0, 0], [0, 2, 4, 0, 0], [0, 0, 3, 5, 0], [0, 0, 0, 4, 6], [0, 0, 0, 0, -6], ], ], [ [ [-1, 4, 0, 0, 0, 0], [0, 2, -5, 0, 0, 0], [0, 0, 3, -4, 0, 0], [0, 0, 0, 4, 3, 0], [0, 0, 0, 0, 5, -1], [0, 0, 0, 0, 0, 6], ], ], [ [ [1, 6, 0, 0, 0, 0], [0, 2, 5, 0, 0, 0], [0, 0, 3, 4, 0, 0], [0, 0, 0, 4, 3, 0], [0, 0, 0, 0, 5, 2], [0, 0, 0, 0, 0, 6], ], ], [ [ [1, 5, 0, 0, 0, 0], [0, 2, 4, 0, 0, 0], [0, 0, 4, 3, 0, 0], [0, 0, 0, 4, 3, 0], [0, 0, 0, 0, 5, 4], [0, 0, 0, 0, 0, 5], ], ], ]; } public function dataProviderForNotLowerHessenbergMatrix(): array { return [ [ [ [1, 1, 1, 0], [0, 1, 1, 0], [0, 0, 1, 0], ], ], [ [ [1, 1, 1], [0, 1, 1], [0, 0, 1], [0, 0, 0], ], ], [ [ [1, 1, 1], [0, 1, 1], [0, 0, 1], ], ], [ [ [1, 1, 1], [1, 1, 1], [1, 1, 1], ], ], [ [ [1, 0, 1], [0, 1, 1], [0, 0, 1], ], ], [ [ [0, 1, 1], [0, 1, 0], [0, 0, 1], ], ], [ [ [0, 0, 1], [0, 0, 0], [0, 0, 0], ], ], [ [ [1, 1, 1, 0], [0, 1, 1, 0], [0, 0, 1, 1], [0, 0, 0, 1], ], ], [ [ [1, 1, 0, 1, 0], [0, 1, 1, 0, 0], [0, 0, 1, 1, 0], [0, 0, 0, 1, 1], [0, 0, 0, 0, 1], ], ], [ [ [1, 1, 1, 0, 0], [1, 1, 1, 0, 0], [0, 1, 1, 1, 0], [0, 0, 1, 1, 1], [0, 0, 0, 1, 1], ], ], [ [ [1, 1, 0, 0, 1], [1, 1, 1, 0, 0], [1, 1, 1, 1, 0], [0, 1, 1, 1, 1], [0, 0, 1, 1, 1], ], ], [ [ [1, 1, 0, 1, 0], [1, 1, 1, 1, 0], [1, 1, 1, 1, 0], [1, 1, 1, 1, 1], [1, 1, 1, 1, 1], ], ], [ [ [1, 3, 0, 0, 0], [0, 2, 4, 0, 1], [0, 0, 3, 5, 0], [0, 0, 0, 4, 6], [0, 0, 0, 0, -6], ], ], [ [ [-1, 4, 0, 0, 0, 0], [0, 2, -5, 0, 0, 0], [0, 0, 3, -4, 0, 1], [0, 0, 0, 4, 3, 0], [0, 0, 0, 0, 5, -1], [0, 0, 0, 0, 0, 6], ], ], [ [ [1, 6, 0, 0, 0, 0], [0, 2, 5, 0, 0, 0], [0, 0, 3, 4, 1, 0], [0, 0, 0, 4, 3, 0], [0, 0, 0, 0, 5, 2], [0, 0, 0, 0, 0, 6], ], ], [ [ [1, 5, 0, 0, 0, 1], [0, 2, 4, 0, 0, 0], [0, 0, 4, 3, 0, 0], [0, 0, 0, 4, 3, 0], [0, 0, 0, 0, 5, 4], [0, 0, 0, 0, 0, 5], ], ], ]; } public function dataProviderForOrthogonalMatrix(): array { return [ [ [ [1] ] ], [ [ [-1] ] ], [ [ [1, 0], [0, 1], ] ], [ [ [1, 0], [0, -1], ] ], [ [ [-1, 0], [0, 1], ] ], [ [ [0, 1], [1, 0], ] ], [ [ [0.96, -0.28], [0.28, 0.96], ] ], [ [ [0, -0.80, -0.60], [0.80, -0.36, 0.48], [0.60, 0.48, -0.64], ] ], [ [ [0, 0, 0, 1], [0, 0, 1, 0], [1, 0, 0, 0], [0, 1, 0, 0], ] ], [ [ [0, -1, 0], [1, 0, 0], [0, 0, -1], ] ], [ [ [-1, 0, 0], [0, -1, 0], [0, 0, -1], ] ], [ [ [1 / sqrt(2), 1 / sqrt(2)], [1 / sqrt(2), -1 / sqrt(2)], ] ], [ [ [2 / 3, -2 / 3, 1 / 3], [1 / 3, 2 / 3, 2 / 3], [2 / 3, 1 / 3, -2 / 3], ] ], ]; } public function dataProviderForNonOrthogonalMatrix(): array { return [ // Not square [ [ [1], [0], ] ], [ [ [0.96, -0.28, 2], [0.28, 0.96, 5], ] ], // Square but not orthogonal [ [ [3, 1], [7, 5], ] ], ]; } public function dataProviderForNonNormalMatrix(): array { return [ // Not square [ [ [1], [0], ] ], [ [ [0.96, -0.28, 2], [0.28, 0.96, 5], ] ], // Square but not normal [ [ [1, 2, 0], [3, 4, 0], [0, 0, 0], ] ], ]; } public function dataProviderForMatrixWithWeirdNumbers(): array { return [ [ [ [0.0000000000001], ] ], [ [ [0.000000000001, 0.0000000000002], [0.0000000000034, 0.000000000009994387], ] ], [ [ [1 / 2, 1 / 3, 1 / 4], [1 / 5, 1 / 6, 1 / 7], [2 / 3, 3 / 5, 8 / 9], ] ], [ [ [cos(1), cos(0), cos(1.4)], [sin(1), sin(0), sin(1.4)], [tan(1), tan(0), tan(1.4)], [sin(\M_PI), cos(\M_PI), tan(\M_PI)], ] ], [ [ [\M_PI, \M_2_PI, \M_2_SQRTPI], [\M_E, \M_EULER, \M_LOG2E], [\M_LOG10E, \M_LN2, \M_LNPI], ] ], [ [ [\PHP_INT_MAX, \PHP_INT_MIN], [\INF, -\INF], ] ] ]; } public function dataProviderForBidiagonalMatrix(): \Generator { foreach ($this->dataProviderForUpperBidiagonalMatrix() as $matrix) { yield $matrix; } foreach ($this->dataProviderForLowerBidiagonalMatrix() as $matrix) { yield $matrix; } } public function dataProviderForSingleMatrix(): \Generator { foreach ($this->dataProviderForSquareMatrix() as $matrix) { yield $matrix; } foreach ($this->dataProviderForNotSquareMatrix() as $matrix) { yield $matrix; } foreach ($this->dataProviderForSymmetricMatrix() as $matrix) { yield $matrix; } foreach ($this->dataProviderForNonsingularMatrix() as $matrix) { yield $matrix; } foreach ($this->dataProviderForPositiveDefiniteMatrix() as $matrix) { yield $matrix; } foreach ($this->dataProviderForPositiveSemidefiniteMatrix() as $matrix) { yield $matrix; } foreach ($this->dataProviderForNegativeDefiniteMatrix() as $matrix) { yield $matrix; } foreach ($this->dataProviderForNegativeSemidefiniteMatrix() as $matrix) { yield $matrix; } foreach ($this->dataProviderForUpperTriangularMatrix() as $matrix) { yield $matrix; } foreach ($this->dataProviderForLowerTriangularMatrix() as $matrix) { yield $matrix; } foreach ($this->dataProviderForDiagonalMatrix() as $matrix) { yield $matrix; } foreach ($this->dataProviderForRefMatrix() as $matrix) { yield $matrix; } foreach ($this->dataProviderForRrefMatrix() as $matrix) { yield $matrix; } foreach ($this->dataProviderForInvolutoryMatrix() as $matrix) { yield $matrix; } foreach ($this->dataProviderForUpperBidiagonalMatrix() as $matrix) { yield $matrix; } foreach ($this->dataProviderForLowerBidiagonalMatrix() as $matrix) { yield $matrix; } foreach ($this->dataProviderForBidiagonalMatrix() as $matrix) { yield $matrix; } foreach ($this->dataProviderForIdentityMatrix() as $matrix) { yield $matrix; } foreach ($this->dataProviderForMatrixWithWeirdNumbers() as $matrix) { yield $matrix; } } }