commons-math-legacy/src/main/java/org/apache/commons/math4/legacy/linear/FieldLUDecomposition.java [307:330]:
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            if (singular) {
                throw new SingularMatrixException();
            }

            // Apply permutations to b
            final T[] bp = MathArrays.buildArray(field, m);
            for (int row = 0; row < m; row++) {
                bp[row] = b.getEntry(pivot[row]);
            }

            // Solve LY = b
            for (int col = 0; col < m; col++) {
                final T bpCol = bp[col];
                for (int i = col + 1; i < m; i++) {
                    bp[i] = bp[i].subtract(bpCol.multiply(lu[i][col]));
                }
            }

            // Solve UX = Y
            for (int col = m - 1; col >= 0; col--) {
                bp[col] = bp[col].divide(lu[col][col]);
                final T bpCol = bp[col];
                for (int i = 0; i < col; i++) {
                    bp[i] = bp[i].subtract(bpCol.multiply(lu[i][col]));
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commons-math-legacy/src/main/java/org/apache/commons/math4/legacy/linear/FieldLUDecomposition.java [350:373]:
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            if (singular) {
                throw new SingularMatrixException();
            }

            // Apply permutations to b
            final T[] bp = MathArrays.buildArray(field, m);
            for (int row = 0; row < m; row++) {
                bp[row] = b.getEntry(pivot[row]);
            }

            // Solve LY = b
            for (int col = 0; col < m; col++) {
                final T bpCol = bp[col];
                for (int i = col + 1; i < m; i++) {
                    bp[i] = bp[i].subtract(bpCol.multiply(lu[i][col]));
                }
            }

            // Solve UX = Y
            for (int col = m - 1; col >= 0; col--) {
                bp[col] = bp[col].divide(lu[col][col]);
                final T bpCol = bp[col];
                for (int i = 0; i < col; i++) {
                    bp[i] = bp[i].subtract(bpCol.multiply(lu[i][col]));
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